Supersymmetric gauge theories on squashed five-spheres and their gravity duals View Full Text


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Article Info

DATE

2014-09

AUTHORS

Luis F. Alday, Martin Fluder, Carolina Matte Gregory, Paul Richmond, James Sparks

ABSTRACT

We construct the gravity duals of large N supersymmetric gauge theories defined on squashed five-spheres with SU(3)×U(1) symmetry. These five-sphere backgrounds are continuously connected to the round sphere, and we find a one-parameter family of 3/4 BPS deformations and a two-parameter family of (generically) 1/4 BPS deformations. The gravity duals are constructed in Euclidean Romans F (4) gauged supergravity in six dimensions, and uplift to massive type IIA supergravity. We holographically renormalize the Romans theory, and use our general result to compute the renormalized on-shell actions for the solutions. The results agree perfectly with the large N limit of the dual gauge theory partition function, which we compute using large N matrix model techniques. In addition we compute BPS Wilson loops in these backgrounds, both in supergravity and in the large N matrix model, again finding precise agreement. Finally, we conjecture a general formula for the partition function on any five-sphere background, which for fixed gauge theory depends only on a certain supersymmetric Killing vector. More... »

PAGES

67

References to SciGraph publications

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  • 2012-08. The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-05. Exact results for five-dimensional superconformal field theories with gravity duals in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-10. Supersymmetry on curved spaces and superconformal anomalies in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-07. Supersymmetric backgrounds from 5d N = 1 supergravity in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-05. Supersymmetry on three-dimensional Lorentzian curved spaces and black hole holography in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-05. M5-branes from gauge theories on the 5-sphere in JOURNAL OF HIGH ENERGY PHYSICS
  • 1999-12. A Stress Tensor for Anti-de Sitter Gravity in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2014-05. Rigid supersymmetry on 5-dimensional Riemannian manifolds and contact geometry in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-05. Twisted supersymmetric 5D Yang-Mills theory and contact geometry in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-10. Localization on three-manifolds in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-07. 5d quivers and their AdS6 duals in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-03. Wilson Loops in 5d SCFTs and AdS/CFT in ANNALES HENRI POINCARÉ
  • 2013-10. Extended supersymmetry on curved spaces in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-09. Extension of symmetries on Einstein manifolds with boundary in SELECTA MATHEMATICA
  • 2001-03. Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2012-08. Supersymmetry on curved spaces and holography in JOURNAL OF HIGH ENERGY PHYSICS
  • Journal

    TITLE

    Journal of High Energy Physics

    ISSUE

    9

    VOLUME

    2014

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep09(2014)067

    DOI

    http://dx.doi.org/10.1007/jhep09(2014)067

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1018415215


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