Publication Date:
21 November 2012
Journal:
Nuclear Physics B
Last Updated:
2021-01-09T15:47:05.733+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