The gravity dual of supersymmetric gauge theories on a two-parameter deformed three-sphere

TY - JOUR

T1 - The gravity dual of supersymmetric gauge theories on a two-parameter deformed three-sphere

AU - Martelli, Dario

AU - Passias, Achilleas

PY - 2013/12/1

Y1 - 2013/12/1

N2 - We present rigid supersymmetric backgrounds for three-dimensional N=2 supersymmetric gauge theories, comprising a two-parameter U(1)×U(1)-invariant deformed three-sphere, and their gravity duals. These are described by supersymmetric solutions of four-dimensional N=2 gauged supergravity with a self-dual metric on the ball and different instantons for the graviphoton field. We find two types of solutions, distinguished by their holographic free energies. In one type the holographic free energy is constant, whereas in another type it depends in a simple way on the parameters and is generically complex. This leads to a conjecture for the localized partition function of a class of N=2 supersymmetric gauge theories on these backgrounds.

AB - We present rigid supersymmetric backgrounds for three-dimensional N=2 supersymmetric gauge theories, comprising a two-parameter U(1)×U(1)-invariant deformed three-sphere, and their gravity duals. These are described by supersymmetric solutions of four-dimensional N=2 gauged supergravity with a self-dual metric on the ball and different instantons for the graviphoton field. We find two types of solutions, distinguished by their holographic free energies. In one type the holographic free energy is constant, whereas in another type it depends in a simple way on the parameters and is generically complex. This leads to a conjecture for the localized partition function of a class of N=2 supersymmetric gauge theories on these backgrounds.

U2 - 10.1016/j.nuclphysb.2013.09.012

DO - 10.1016/j.nuclphysb.2013.09.012

M3 - Article

SN - 0550-3213

VL - 877

SP - 51

EP - 72

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1

ER -