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arXiv · 1404.0268

Gravity duals of supersymmetric gauge theories on three-manifolds

Daniel Farquet·Jakob Lorenzen·Dario Martelli·James Sparks
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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) x 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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Daniel Farquet, Jakob Lorenzen, Dario Martelli, James Sparks. 2014-04-01. Gravity duals of supersymmetric gauge theories on three-manifolds. https://doi.org/10.1007/jhep08(2016)080

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