The gravity dual of supersymmetric gauge theories on a biaxially squashed three-sphere

Dario Martelli, James Sparks

Research output: Contribution to journalArticlepeer-review

47 Citations (Scopus)

Abstract

We present the gravity dual to a class of three-dimensional N=2 supersymmetric gauge theories on a biaxially squashed three-sphere, with a non-trivial background gauge field. This is described by a 1/2 BPS Euclidean solution of four-dimensional N=2 gauged supergravity, consisting of a Taub–NUT–AdS metric with a non-trivial instanton for the graviphoton field. The holographic free energy of this solution agrees precisely with the large N limit of the free energy obtained from the localized partition function of a class of Chern–Simons quiver gauge theories. We also discuss a different supersymmetric solution, whose boundary is a biaxially squashed Lens space S3/Z2 with a topologically non-trivial background gauge field. This metric is of Eguchi–Hanson–AdS type, although it is not Einstein, and has a single unit of gauge field flux through the S2 cycle.
Original languageEnglish
Pages (from-to)72-85
Number of pages14
JournalNuclear Physics, Section B
Volume866
Issue number1
Early online date23 Aug 2012
DOIs
Publication statusPublished - 1 Jan 2013

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