Holographic complexity of cold hyperbolic black holes View Full Text


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Article Info

DATE

2015-11

AUTHORS

José L. F. Barbón, Javier Martín-García

ABSTRACT

AdS black holes with hyperbolic horizons provide strong-coupling descriptions of thermal CFT states on hyperboloids. The low-temperature limit of these systems is peculiar. In this note we show that, in addition to a large ground state degeneracy, these states also have an anomalously large holographic complexity, scaling logarithmically with the temperature. We speculate on whether this fact generalizes to other systems whose extreme infrared regime is formally controlled by Conformal Quantum Mechanics, such as various instances of near-extremal charged black holes. More... »

PAGES

181

References to SciGraph publications

  • 2008-05-15. A note on the extensivity of the holographic entanglement entropy in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-05. Time evolution of entanglement entropy from black hole interiors in JOURNAL OF HIGH ENERGY PHYSICS
  • 2006-08-21. Aspects of holographic entanglement entropy in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-06. Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence in JOURNAL OF HIGH ENERGY PHYSICS
  • 1999-04. The Large-N Limit of Superconformal Field Theories and Supergravity in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • 2010-08. Spontaneous fragmentation of topological black holes in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-11. Tensor Network States and Geometry in JOURNAL OF STATISTICAL PHYSICS
  • 2010-04. Holography of AdS vacuum bubbles in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-10. Building up spacetime with quantum entanglement in GENERAL RELATIVITY AND GRAVITATION
  • 2009-08-28. D-brane potentials from multi-trace deformations in AdS/CFT in JOURNAL OF HIGH ENERGY PHYSICS
  • 1999-06-30. AdS/CFT duals of topological black holes and the entropy of zero-energy states in JOURNAL OF HIGH ENERGY PHYSICS
  • 2003-04-12. Eternal black holes in anti-de Sitter in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-07-16. Insightful D-branes in JOURNAL OF HIGH ENERGY PHYSICS
  • Journal

    TITLE

    Journal of High Energy Physics

    ISSUE

    11

    VOLUME

    2015

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep11(2015)181

    DOI

    http://dx.doi.org/10.1007/jhep11(2015)181

    DIMENSIONS

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    41 schema:description AdS black holes with hyperbolic horizons provide strong-coupling descriptions of thermal CFT states on hyperboloids. The low-temperature limit of these systems is peculiar. In this note we show that, in addition to a large ground state degeneracy, these states also have an anomalously large holographic complexity, scaling logarithmically with the temperature. We speculate on whether this fact generalizes to other systems whose extreme infrared regime is formally controlled by Conformal Quantum Mechanics, such as various instances of near-extremal charged black holes.
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