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

Author: 

Martelli, D
Passias, A
Sparks, J

Publication Date: 

21 November 2012

Journal: 

Nuclear Physics B

Last Updated: 

2019-12-20T12:10:32.12+00:00

Issue: 

3

Volume: 

864

DOI: 

10.1016/j.nuclphysb.2012.07.019

page: 

840-868

abstract: 

We present the gravity dual to a class of three-dimensional N=2 supersymmetric gauge theories on a U(1) × U(1)-invariant squashed three-sphere, with a non-trivial background gauge field. This is described by a supersymmetric solution of four-dimensional N=2 gauged supergravity with a non-trivial instanton for the graviphoton field. The particular gauge theory in turn determines the lift to a solution of eleven-dimensional supergravity. We compute the partition function for a class of Chern-Simons quiver gauge theories on both sides of the duality, in the large N limit, finding precise agreement for the functional dependence on the squashing parameter. This constitutes an exact check of the gauge/gravity correspondence in a non-conformally invariant setting. © 2012.

Symplectic id: 

348786

Submitted to ORA: 

Not Submitted

Publication Type: 

Journal Article