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

Journal article

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.

Authors: Martelli, D; Passias, A; Sparks, J

• Journal: Nuclear Physics B
• Volume: 864
• Issue: 3
• Pages: 840-868
• Publication date: 2012-11-21
• DOI: 10.1016/j.nuclphysb.2012.07.019
• ISSN: 0550-3213