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

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.

19 pages, 1figure, harvmac; expanded analysis of D=4 N=2 system in the appendix, references added