D=2+1 N=2 Yang-Mills Theory From Wrapped Branes

TL;DR

This paper constructs a new supergravity solution representing wrapped D5 branes on a deformed conifold, providing insights into the Coulomb branch of 3D N=2 SYM in the large N limit.

Contribution

It introduces a novel Type IIB supergravity solution derived from a 7D gauged supergravity lift, modeling N=2 SYM in three dimensions.

Findings

Supergravity solution describes D5 branes on a deformed conifold.

Solution corresponds to a slice of the Coulomb branch.

Provides a holographic dual for 3D N=2 SYM.

Abstract

We find a new solution of Type IIB supergravity which represents a collection of D5 branes wrapped on the topologically non-trivial S^3 of the deformed conifold geometry T^*S^3. The Type IIB solution is obtained by lifting a new solution of D=7 SU(2)_L x SU(2)_R gauged supergravity to ten dimensions in which SU(2)_D gauge fields in the diagonal subgroup are turned on. The supergravity solution describes a slice of the Coulomb branch in the large N limit of N=2 SYM in three dimensions.