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Gravity duals of supersymmetric gauge theories on three-manifolds

Research output: Contribution to journalArticle

Daniel Farquet, Jakob Lorenzen, Dario Martelli, James Sparks

Original languageEnglish
JournalJournal of High Energy Physics
Volume2016
Issue number8
DOIs
Accepted/In press4 Aug 2016
PublishedAug 2016

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Abstract

We study gravity duals to a broad class of N = 2 supersymmetric gauge theories defined on a general class of three-manifold geometries. The gravity backgrounds are based on Euclidean self-dual solutions to four-dimensional gauged supergravity. As well as constructing new examples, we prove in general that for solutions defined on the four-ball the gravitational free energy depends only on the supersymmetric Killing vector, finding a simple closed formula when the solution has U(1) × U(1) symmetry. Our result agrees with the large N limit of the free energy of the dual gauge theory, computed using localization. This constitutes an exact check of the gauge/gravity correspondence for a very broad class of gauge theories with a large N limit, defined on a general class of background three-manifold geometries.

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