The gravity dual of supersymmetric gauge theories on a squashed S 1 × S 3

Davide Cassani; Dario Martelli

doi:10.1007/JHEP08(2014)044

The gravity dual of supersymmetric gauge theories on a squashed S ¹ × S ³

Davide Cassani, Dario Martelli

Stanford University

Research output: Contribution to journal › Article › peer-review

33 Citations (Scopus)

Abstract

We present a new one-parameter family of supersymmetric solutions deforming AdS₅. This is constructed as an asymptotically locally anti de Sitter (AlAdS) solution of five-dimensional minimal gauged supergravity, with topology R×R⁴ and a non-trivial graviphoton field, and can be uplifted to ten or eleven dimensional supergravities. An analytic continuation of this solution yields the gravity dual to a class of four-dimensional N = 1 supersymmetric gauge theories on a curved manifold with topology S ¹ × S ³, comprising an SU(2) × U(1)-symmetric squashed three-sphere, with a non-trivial background gauge field coupling to the R-symmetry current. We compute the holographically renormalised on-shell action and interpret it in terms of the Casimir energy of the dual field theory. We also determine the holographic conserved charges of the solution and discuss relations between them.

Original language	English
Article number	44
Number of pages	52
Journal	Journal of High Energy Physics
Volume	2014
Issue number	8
DOIs	https://doi.org/10.1007/JHEP08(2014)044
Publication status	Published - 7 Aug 2014

Keywords

AdS-CFT Correspondence
Supergravity Models
Supersymmetry and Duality

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10.1007/JHEP08(2014)044

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abstract = "We present a new one-parameter family of supersymmetric solutions deforming AdS5. This is constructed as an asymptotically locally anti de Sitter (AlAdS) solution of five-dimensional minimal gauged supergravity, with topology R×R4 and a non-trivial graviphoton field, and can be uplifted to ten or eleven dimensional supergravities. An analytic continuation of this solution yields the gravity dual to a class of four-dimensional N = 1 supersymmetric gauge theories on a curved manifold with topology S 1 × S 3, comprising an SU(2) × U(1)-symmetric squashed three-sphere, with a non-trivial background gauge field coupling to the R-symmetry current. We compute the holographically renormalised on-shell action and interpret it in terms of the Casimir energy of the dual field theory. We also determine the holographic conserved charges of the solution and discuss relations between them.",

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AB - We present a new one-parameter family of supersymmetric solutions deforming AdS5. This is constructed as an asymptotically locally anti de Sitter (AlAdS) solution of five-dimensional minimal gauged supergravity, with topology R×R4 and a non-trivial graviphoton field, and can be uplifted to ten or eleven dimensional supergravities. An analytic continuation of this solution yields the gravity dual to a class of four-dimensional N = 1 supersymmetric gauge theories on a curved manifold with topology S 1 × S 3, comprising an SU(2) × U(1)-symmetric squashed three-sphere, with a non-trivial background gauge field coupling to the R-symmetry current. We compute the holographically renormalised on-shell action and interpret it in terms of the Casimir energy of the dual field theory. We also determine the holographic conserved charges of the solution and discuss relations between them.

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The gravity dual of supersymmetric gauge theories on a squashed S ¹ × S ³

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