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

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

2011-10-28

arxiv.org/abs/1110.6400v2

Physics

High Energy Physics

High Energy Physics - Theory

37 pages. v2: typos fixed, references added, new section 2.5 added discussing the solution in standard global coordinates

Scientific paper

We present the gravity dual to a class of three-dimensional N=2 supersymmetric gauge theories on a U(1) x 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.

Affiliated with

Also associated with

No associations

Rating

The gravity dual of supersymmetric gauge theories on a squashed three-sphere does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The gravity dual of supersymmetric gauge theories on a squashed three-sphere, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The gravity dual of supersymmetric gauge theories on a squashed three-sphere will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-686662