Journal title
Journal of High Energy Physics
DOI
10.1007/JHEP08(2016)080
Last updated
2024-04-06T19:49:30.22+01:00
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.
Symplectic ID
638168
Submitted to ORA
On
Favourite
Off
Publication type
Journal Article
Publication date
01 Jan 2016