On AdS2 holography from redux, renormalization group flows and c-functions View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-02-07

AUTHORS

Kedar S. Kolekar, K. Narayan

ABSTRACT

Extremal black branes upon compactification in the near horizon throat region are known to give rise to AdS2 dilaton-gravity-matter theories. Away from the throat region, the background has nontrivial profile. We interpret this as holographic renormalization group flow in the 2-dim dilaton-gravity-matter theories arising from dimensional reduction of the higher dimensional theories here. The null energy conditions allow us to formulate a holographic c-function in terms of the 2-dim dilaton for which we argue a c-theorem subject to appropriate boundary conditions which amount to restrictions on the ultraviolet theories containing these extremal branes. At the infrared AdS2 fixed point, the c-function becomes the extremal black brane entropy. We discuss the behaviour of this inherited c-function in various explicit examples, in particular compactified nonconformal branes, and compare it with other discussions of holographic c-functions. We also adapt the holographic renormalization group formulated in terms of radial Hamiltonian flow to 2-dim dilaton-gravity-scalar theories, which while not Wilsonian, gives qualitative insight into the flow equations and β-functions. More... »

PAGES

39

References to SciGraph publications

  • 2015-12-29. A holographic c-theorem for Schrödinger spacetimes in JOURNAL OF HIGH ENERGY PHYSICS
  • 2000-05-18. RG-flow, gravity and the cosmological constant in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-11-04. Models of AdS2 backreaction and holography in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-09-28. Exact embeddings of JT gravity in strings and M-theory in EUROPEAN PHYSICAL JOURNAL C
  • 2012-11-23. Charged black branes with hyperscaling violating factor in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-07-28. An investigation of AdS2 backreaction and holography in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-01-26. Holographic c-theorems in arbitrary dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-04-01. The spectrum in the Sachdev-Ye-Kitaev model in JOURNAL OF HIGH ENERGY PHYSICS
  • 2006-02-20. A c-function for non-supersymmetric attractors in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-06-06. Aspects of holography for theories with hyperscaling violation in JOURNAL OF HIGH ENERGY PHYSICS
  • 1998-12-22. Novel local CFT and exact results on perturbations of N = 4 super Yang Mills from AdS dynamics in JOURNAL OF HIGH ENERGY PHYSICS
  • 2001-03. Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2011-06-09. Holographic and Wilsonian renormalization groups in JOURNAL OF HIGH ENERGY PHYSICS
  • 1999-07-02. A covariant entropy conjecture in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-10-05. 5D rotating black holes and the nAdS2/nCFT1 correspondence in JOURNAL OF HIGH ENERGY PHYSICS
  • 2006-08-21. Aspects of holographic entanglement entropy in JOURNAL OF HIGH ENERGY PHYSICS
  • 1999-02-13. Anti-de Sitter fragmentation in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-09-05. Black holes and black branes in Lifshitz spacetimes in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-04-24. Comments on holographic entanglement entropy and RG flows in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-01-31. Lifshitz-like solutions with hyperscaling violation in ungauged supergravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-08-16. Integrating out geometry: holographic Wilsonian RG and the membrane paradigm in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-10-11. Conformal symmetry breaking and thermodynamics of near-extremal black holes in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-09-05. Three dimensional view of the SYK/AdS duality in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-09-10. On the dynamics of near-extremal black holes in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-04-29. Holographic entanglement entropy probes (non)locality in JOURNAL OF HIGH ENERGY PHYSICS
  • 1998-07-30. The holographic Weyl anomaly in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-05-29. The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual in JOURNAL OF HIGH ENERGY PHYSICS
  • 2000-05-04. Comments on D branes and the renormalization group in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-01-02. Generalized conformal structure, dilaton gravity and SYK in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-01-27. Erratum to: AdS2 holographic dictionary in JOURNAL OF HIGH ENERGY PHYSICS
  • 2000-08-01. On the holographic renormalization group in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-09-22. Precision holography for non-conformal branes in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep02(2019)039

    DOI

    http://dx.doi.org/10.1007/jhep02(2019)039

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1112041504


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Sciences", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Pure Mathematics", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Chennai Mathematical Institute, SIPCOT IT Park, 603103, Siruseri, India", 
              "id": "http://www.grid.ac/institutes/grid.444722.3", 
              "name": [
                "Chennai Mathematical Institute, SIPCOT IT Park, 603103, Siruseri, India"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Kolekar", 
            "givenName": "Kedar S.", 
            "id": "sg:person.011242151133.40", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011242151133.40"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Chennai Mathematical Institute, SIPCOT IT Park, 603103, Siruseri, India", 
              "id": "http://www.grid.ac/institutes/grid.444722.3", 
              "name": [
                "Chennai Mathematical Institute, SIPCOT IT Park, 603103, Siruseri, India"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Narayan", 
            "givenName": "K.", 
            "id": "sg:person.012267627017.77", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012267627017.77"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1088/1126-6708/2000/05/034", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042189756", 
              "https://doi.org/10.1088/1126-6708/2000/05/034"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep04(2016)001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037035340", 
              "https://doi.org/10.1007/jhep04(2016)001"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2000/05/011", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030570986", 
              "https://doi.org/10.1088/1126-6708/2000/05/011"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep11(2012)137", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023239635", 
              "https://doi.org/10.1007/jhep11(2012)137"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep08(2011)051", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036987791", 
              "https://doi.org/10.1007/jhep08(2011)051"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep06(2012)041", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013736873", 
              "https://doi.org/10.1007/jhep06(2012)041"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/1999/02/011", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022009445", 
              "https://doi.org/10.1088/1126-6708/1999/02/011"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep07(2016)139", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049751682", 
              "https://doi.org/10.1007/jhep07(2016)139"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s002200100381", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051944080", 
              "https://doi.org/10.1007/s002200100381"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep04(2012)122", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1039432911", 
              "https://doi.org/10.1007/jhep04(2012)122"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep09(2018)048", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1106929939", 
              "https://doi.org/10.1007/jhep09(2018)048"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep01(2013)189", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1018787902", 
              "https://doi.org/10.1007/jhep01(2013)189"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep09(2011)017", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002500535", 
              "https://doi.org/10.1007/jhep09(2011)017"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2006/08/045", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020436500", 
              "https://doi.org/10.1088/1126-6708/2006/08/045"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep09(2017)017", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1091499737", 
              "https://doi.org/10.1007/jhep09(2017)017"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2008/04/096", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034443895", 
              "https://doi.org/10.1088/1126-6708/2008/04/096"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2000/08/003", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004643691", 
              "https://doi.org/10.1088/1126-6708/2000/08/003"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep05(2018)183", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1104294978", 
              "https://doi.org/10.1007/jhep05(2018)183"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep01(2017)120", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1074235881", 
              "https://doi.org/10.1007/jhep01(2017)120"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1140/epjc/s10052-018-6267-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1107303712", 
              "https://doi.org/10.1140/epjc/s10052-018-6267-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2006/02/053", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1039854965", 
              "https://doi.org/10.1088/1126-6708/2006/02/053"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep11(2015)014", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025256969", 
              "https://doi.org/10.1007/jhep11(2015)014"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/1999/07/004", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1029589551", 
              "https://doi.org/10.1088/1126-6708/1999/07/004"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/1998/12/022", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1031978081", 
              "https://doi.org/10.1088/1126-6708/1998/12/022"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep01(2018)010", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1100164920", 
              "https://doi.org/10.1007/jhep01(2018)010"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep10(2018)042", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1107530740", 
              "https://doi.org/10.1007/jhep10(2018)042"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep12(2015)179", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022412438", 
              "https://doi.org/10.1007/jhep12(2015)179"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/1998/07/023", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035469031", 
              "https://doi.org/10.1088/1126-6708/1998/07/023"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep06(2011)031", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044915410", 
              "https://doi.org/10.1007/jhep06(2011)031"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep01(2011)125", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1001215500", 
              "https://doi.org/10.1007/jhep01(2011)125"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2008/09/094", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041512802", 
              "https://doi.org/10.1088/1126-6708/2008/09/094"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep10(2016)052", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014016299", 
              "https://doi.org/10.1007/jhep10(2016)052"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2019-02-07", 
        "datePublishedReg": "2019-02-07", 
        "description": "Extremal black branes upon compactification in the near horizon throat region are known to give rise to AdS2 dilaton-gravity-matter theories. Away from the throat region, the background has nontrivial profile. We interpret this as holographic renormalization group flow in the 2-dim dilaton-gravity-matter theories arising from dimensional reduction of the higher dimensional theories here. The null energy conditions allow us to formulate a holographic c-function in terms of the 2-dim dilaton for which we argue a c-theorem subject to appropriate boundary conditions which amount to restrictions on the ultraviolet theories containing these extremal branes. At the infrared AdS2 fixed point, the c-function becomes the extremal black brane entropy. We discuss the behaviour of this inherited c-function in various explicit examples, in particular compactified nonconformal branes, and compare it with other discussions of holographic c-functions. We also adapt the holographic renormalization group formulated in terms of radial Hamiltonian flow to 2-dim dilaton-gravity-scalar theories, which while not Wilsonian, gives qualitative insight into the flow equations and \u03b2-functions.", 
        "genre": "article", 
        "id": "sg:pub.10.1007/jhep02(2019)039", 
        "inLanguage": "en", 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1052482", 
            "issn": [
              "1126-6708", 
              "1029-8479"
            ], 
            "name": "Journal of High Energy Physics", 
            "publisher": "Springer Nature", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "2", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "2019"
          }
        ], 
        "keywords": [
          "extremal black branes", 
          "renormalization group", 
          "black branes", 
          "matter theory", 
          "holographic renormalization group flow", 
          "renormalization group flow", 
          "holographic renormalization group", 
          "higher-dimensional theories", 
          "appropriate boundary conditions", 
          "AdS2 holography", 
          "null energy condition", 
          "Hamiltonian flow", 
          "group flow", 
          "dimensional theory", 
          "scalar theory", 
          "flow equations", 
          "extremal branes", 
          "dimensional reduction", 
          "explicit examples", 
          "nontrivial profile", 
          "branes", 
          "boundary conditions", 
          "ultraviolet theory", 
          "AdS2", 
          "energy conditions", 
          "theory", 
          "throat region", 
          "compactification", 
          "dilaton", 
          "equations", 
          "qualitative insights", 
          "flow", 
          "function", 
          "Wilsonian", 
          "terms", 
          "holography", 
          "point", 
          "conditions", 
          "restriction", 
          "behavior", 
          "region", 
          "profile", 
          "rise", 
          "discussion", 
          "background", 
          "Redux", 
          "insights", 
          "reduction", 
          "group", 
          "subjects", 
          "example", 
          "near horizon throat region", 
          "horizon throat region", 
          "theorem subject", 
          "infrared AdS2", 
          "nonconformal branes", 
          "radial Hamiltonian flow"
        ], 
        "name": "On AdS2 holography from redux, renormalization group flows and c-functions", 
        "pagination": "39", 
        "productId": [
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1112041504"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/jhep02(2019)039"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/jhep02(2019)039", 
          "https://app.dimensions.ai/details/publication/pub.1112041504"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2021-12-01T19:44", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-springernature-scigraph/baseset/20211201/entities/gbq_results/article/article_811.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://doi.org/10.1007/jhep02(2019)039"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/jhep02(2019)039'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/jhep02(2019)039'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/jhep02(2019)039'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/jhep02(2019)039'


     

    This table displays all metadata directly associated to this object as RDF triples.

    250 TRIPLES      22 PREDICATES      114 URIs      74 LITERALS      6 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/jhep02(2019)039 schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author N62282c3812bb445287b3076fb304deb7
    4 schema:citation sg:pub.10.1007/jhep01(2011)125
    5 sg:pub.10.1007/jhep01(2013)189
    6 sg:pub.10.1007/jhep01(2017)120
    7 sg:pub.10.1007/jhep01(2018)010
    8 sg:pub.10.1007/jhep04(2012)122
    9 sg:pub.10.1007/jhep04(2016)001
    10 sg:pub.10.1007/jhep05(2018)183
    11 sg:pub.10.1007/jhep06(2011)031
    12 sg:pub.10.1007/jhep06(2012)041
    13 sg:pub.10.1007/jhep07(2016)139
    14 sg:pub.10.1007/jhep08(2011)051
    15 sg:pub.10.1007/jhep09(2011)017
    16 sg:pub.10.1007/jhep09(2017)017
    17 sg:pub.10.1007/jhep09(2018)048
    18 sg:pub.10.1007/jhep10(2016)052
    19 sg:pub.10.1007/jhep10(2018)042
    20 sg:pub.10.1007/jhep11(2012)137
    21 sg:pub.10.1007/jhep11(2015)014
    22 sg:pub.10.1007/jhep12(2015)179
    23 sg:pub.10.1007/s002200100381
    24 sg:pub.10.1088/1126-6708/1998/07/023
    25 sg:pub.10.1088/1126-6708/1998/12/022
    26 sg:pub.10.1088/1126-6708/1999/02/011
    27 sg:pub.10.1088/1126-6708/1999/07/004
    28 sg:pub.10.1088/1126-6708/2000/05/011
    29 sg:pub.10.1088/1126-6708/2000/05/034
    30 sg:pub.10.1088/1126-6708/2000/08/003
    31 sg:pub.10.1088/1126-6708/2006/02/053
    32 sg:pub.10.1088/1126-6708/2006/08/045
    33 sg:pub.10.1088/1126-6708/2008/04/096
    34 sg:pub.10.1088/1126-6708/2008/09/094
    35 sg:pub.10.1140/epjc/s10052-018-6267-1
    36 schema:datePublished 2019-02-07
    37 schema:datePublishedReg 2019-02-07
    38 schema:description Extremal black branes upon compactification in the near horizon throat region are known to give rise to AdS2 dilaton-gravity-matter theories. Away from the throat region, the background has nontrivial profile. We interpret this as holographic renormalization group flow in the 2-dim dilaton-gravity-matter theories arising from dimensional reduction of the higher dimensional theories here. The null energy conditions allow us to formulate a holographic c-function in terms of the 2-dim dilaton for which we argue a c-theorem subject to appropriate boundary conditions which amount to restrictions on the ultraviolet theories containing these extremal branes. At the infrared AdS2 fixed point, the c-function becomes the extremal black brane entropy. We discuss the behaviour of this inherited c-function in various explicit examples, in particular compactified nonconformal branes, and compare it with other discussions of holographic c-functions. We also adapt the holographic renormalization group formulated in terms of radial Hamiltonian flow to 2-dim dilaton-gravity-scalar theories, which while not Wilsonian, gives qualitative insight into the flow equations and β-functions.
    39 schema:genre article
    40 schema:inLanguage en
    41 schema:isAccessibleForFree true
    42 schema:isPartOf Na729165b0fd34ffaaf5c93e51276dd21
    43 Naa656d1a112749f3bc44aa53aed373f9
    44 sg:journal.1052482
    45 schema:keywords AdS2
    46 AdS2 holography
    47 Hamiltonian flow
    48 Redux
    49 Wilsonian
    50 appropriate boundary conditions
    51 background
    52 behavior
    53 black branes
    54 boundary conditions
    55 branes
    56 compactification
    57 conditions
    58 dilaton
    59 dimensional reduction
    60 dimensional theory
    61 discussion
    62 energy conditions
    63 equations
    64 example
    65 explicit examples
    66 extremal black branes
    67 extremal branes
    68 flow
    69 flow equations
    70 function
    71 group
    72 group flow
    73 higher-dimensional theories
    74 holographic renormalization group
    75 holographic renormalization group flow
    76 holography
    77 horizon throat region
    78 infrared AdS2
    79 insights
    80 matter theory
    81 near horizon throat region
    82 nonconformal branes
    83 nontrivial profile
    84 null energy condition
    85 point
    86 profile
    87 qualitative insights
    88 radial Hamiltonian flow
    89 reduction
    90 region
    91 renormalization group
    92 renormalization group flow
    93 restriction
    94 rise
    95 scalar theory
    96 subjects
    97 terms
    98 theorem subject
    99 theory
    100 throat region
    101 ultraviolet theory
    102 schema:name On AdS2 holography from redux, renormalization group flows and c-functions
    103 schema:pagination 39
    104 schema:productId N5d8e9c80b81145e78f57910763a38bce
    105 N6913ea104bbc47159e35d6992ace6673
    106 schema:sameAs https://app.dimensions.ai/details/publication/pub.1112041504
    107 https://doi.org/10.1007/jhep02(2019)039
    108 schema:sdDatePublished 2021-12-01T19:44
    109 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    110 schema:sdPublisher N7dc0c391517b44e98b724aca101ffe8b
    111 schema:url https://doi.org/10.1007/jhep02(2019)039
    112 sgo:license sg:explorer/license/
    113 sgo:sdDataset articles
    114 rdf:type schema:ScholarlyArticle
    115 N5d8e9c80b81145e78f57910763a38bce schema:name dimensions_id
    116 schema:value pub.1112041504
    117 rdf:type schema:PropertyValue
    118 N62282c3812bb445287b3076fb304deb7 rdf:first sg:person.011242151133.40
    119 rdf:rest N7e90d875c9dd4809aaf4b7885d8d5de8
    120 N6913ea104bbc47159e35d6992ace6673 schema:name doi
    121 schema:value 10.1007/jhep02(2019)039
    122 rdf:type schema:PropertyValue
    123 N7dc0c391517b44e98b724aca101ffe8b schema:name Springer Nature - SN SciGraph project
    124 rdf:type schema:Organization
    125 N7e90d875c9dd4809aaf4b7885d8d5de8 rdf:first sg:person.012267627017.77
    126 rdf:rest rdf:nil
    127 Na729165b0fd34ffaaf5c93e51276dd21 schema:issueNumber 2
    128 rdf:type schema:PublicationIssue
    129 Naa656d1a112749f3bc44aa53aed373f9 schema:volumeNumber 2019
    130 rdf:type schema:PublicationVolume
    131 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    132 schema:name Mathematical Sciences
    133 rdf:type schema:DefinedTerm
    134 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    135 schema:name Pure Mathematics
    136 rdf:type schema:DefinedTerm
    137 sg:journal.1052482 schema:issn 1029-8479
    138 1126-6708
    139 schema:name Journal of High Energy Physics
    140 schema:publisher Springer Nature
    141 rdf:type schema:Periodical
    142 sg:person.011242151133.40 schema:affiliation grid-institutes:grid.444722.3
    143 schema:familyName Kolekar
    144 schema:givenName Kedar S.
    145 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011242151133.40
    146 rdf:type schema:Person
    147 sg:person.012267627017.77 schema:affiliation grid-institutes:grid.444722.3
    148 schema:familyName Narayan
    149 schema:givenName K.
    150 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012267627017.77
    151 rdf:type schema:Person
    152 sg:pub.10.1007/jhep01(2011)125 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001215500
    153 https://doi.org/10.1007/jhep01(2011)125
    154 rdf:type schema:CreativeWork
    155 sg:pub.10.1007/jhep01(2013)189 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018787902
    156 https://doi.org/10.1007/jhep01(2013)189
    157 rdf:type schema:CreativeWork
    158 sg:pub.10.1007/jhep01(2017)120 schema:sameAs https://app.dimensions.ai/details/publication/pub.1074235881
    159 https://doi.org/10.1007/jhep01(2017)120
    160 rdf:type schema:CreativeWork
    161 sg:pub.10.1007/jhep01(2018)010 schema:sameAs https://app.dimensions.ai/details/publication/pub.1100164920
    162 https://doi.org/10.1007/jhep01(2018)010
    163 rdf:type schema:CreativeWork
    164 sg:pub.10.1007/jhep04(2012)122 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039432911
    165 https://doi.org/10.1007/jhep04(2012)122
    166 rdf:type schema:CreativeWork
    167 sg:pub.10.1007/jhep04(2016)001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037035340
    168 https://doi.org/10.1007/jhep04(2016)001
    169 rdf:type schema:CreativeWork
    170 sg:pub.10.1007/jhep05(2018)183 schema:sameAs https://app.dimensions.ai/details/publication/pub.1104294978
    171 https://doi.org/10.1007/jhep05(2018)183
    172 rdf:type schema:CreativeWork
    173 sg:pub.10.1007/jhep06(2011)031 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044915410
    174 https://doi.org/10.1007/jhep06(2011)031
    175 rdf:type schema:CreativeWork
    176 sg:pub.10.1007/jhep06(2012)041 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013736873
    177 https://doi.org/10.1007/jhep06(2012)041
    178 rdf:type schema:CreativeWork
    179 sg:pub.10.1007/jhep07(2016)139 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049751682
    180 https://doi.org/10.1007/jhep07(2016)139
    181 rdf:type schema:CreativeWork
    182 sg:pub.10.1007/jhep08(2011)051 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036987791
    183 https://doi.org/10.1007/jhep08(2011)051
    184 rdf:type schema:CreativeWork
    185 sg:pub.10.1007/jhep09(2011)017 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002500535
    186 https://doi.org/10.1007/jhep09(2011)017
    187 rdf:type schema:CreativeWork
    188 sg:pub.10.1007/jhep09(2017)017 schema:sameAs https://app.dimensions.ai/details/publication/pub.1091499737
    189 https://doi.org/10.1007/jhep09(2017)017
    190 rdf:type schema:CreativeWork
    191 sg:pub.10.1007/jhep09(2018)048 schema:sameAs https://app.dimensions.ai/details/publication/pub.1106929939
    192 https://doi.org/10.1007/jhep09(2018)048
    193 rdf:type schema:CreativeWork
    194 sg:pub.10.1007/jhep10(2016)052 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014016299
    195 https://doi.org/10.1007/jhep10(2016)052
    196 rdf:type schema:CreativeWork
    197 sg:pub.10.1007/jhep10(2018)042 schema:sameAs https://app.dimensions.ai/details/publication/pub.1107530740
    198 https://doi.org/10.1007/jhep10(2018)042
    199 rdf:type schema:CreativeWork
    200 sg:pub.10.1007/jhep11(2012)137 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023239635
    201 https://doi.org/10.1007/jhep11(2012)137
    202 rdf:type schema:CreativeWork
    203 sg:pub.10.1007/jhep11(2015)014 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025256969
    204 https://doi.org/10.1007/jhep11(2015)014
    205 rdf:type schema:CreativeWork
    206 sg:pub.10.1007/jhep12(2015)179 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022412438
    207 https://doi.org/10.1007/jhep12(2015)179
    208 rdf:type schema:CreativeWork
    209 sg:pub.10.1007/s002200100381 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051944080
    210 https://doi.org/10.1007/s002200100381
    211 rdf:type schema:CreativeWork
    212 sg:pub.10.1088/1126-6708/1998/07/023 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035469031
    213 https://doi.org/10.1088/1126-6708/1998/07/023
    214 rdf:type schema:CreativeWork
    215 sg:pub.10.1088/1126-6708/1998/12/022 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031978081
    216 https://doi.org/10.1088/1126-6708/1998/12/022
    217 rdf:type schema:CreativeWork
    218 sg:pub.10.1088/1126-6708/1999/02/011 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022009445
    219 https://doi.org/10.1088/1126-6708/1999/02/011
    220 rdf:type schema:CreativeWork
    221 sg:pub.10.1088/1126-6708/1999/07/004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029589551
    222 https://doi.org/10.1088/1126-6708/1999/07/004
    223 rdf:type schema:CreativeWork
    224 sg:pub.10.1088/1126-6708/2000/05/011 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030570986
    225 https://doi.org/10.1088/1126-6708/2000/05/011
    226 rdf:type schema:CreativeWork
    227 sg:pub.10.1088/1126-6708/2000/05/034 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042189756
    228 https://doi.org/10.1088/1126-6708/2000/05/034
    229 rdf:type schema:CreativeWork
    230 sg:pub.10.1088/1126-6708/2000/08/003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004643691
    231 https://doi.org/10.1088/1126-6708/2000/08/003
    232 rdf:type schema:CreativeWork
    233 sg:pub.10.1088/1126-6708/2006/02/053 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039854965
    234 https://doi.org/10.1088/1126-6708/2006/02/053
    235 rdf:type schema:CreativeWork
    236 sg:pub.10.1088/1126-6708/2006/08/045 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020436500
    237 https://doi.org/10.1088/1126-6708/2006/08/045
    238 rdf:type schema:CreativeWork
    239 sg:pub.10.1088/1126-6708/2008/04/096 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034443895
    240 https://doi.org/10.1088/1126-6708/2008/04/096
    241 rdf:type schema:CreativeWork
    242 sg:pub.10.1088/1126-6708/2008/09/094 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041512802
    243 https://doi.org/10.1088/1126-6708/2008/09/094
    244 rdf:type schema:CreativeWork
    245 sg:pub.10.1140/epjc/s10052-018-6267-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1107303712
    246 https://doi.org/10.1140/epjc/s10052-018-6267-1
    247 rdf:type schema:CreativeWork
    248 grid-institutes:grid.444722.3 schema:alternateName Chennai Mathematical Institute, SIPCOT IT Park, 603103, Siruseri, India
    249 schema:name Chennai Mathematical Institute, SIPCOT IT Park, 603103, Siruseri, India
    250 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...