Supergravity duals of gauge field theories from SU(2) x U(1) gauged supergravity in five dimensions

TL;DR

This paper explores a specific supergravity solution with SO(4) symmetry, derived from higher-dimensional theories, and interprets its dual gauge theory as a twisted three-dimensional gauge field theory on an NS-fivebrane.

Contribution

It provides a detailed construction of a supergravity solution from five to ten dimensions and its dual gauge theory interpretation, extending the understanding of gauge/gravity dualities.

Findings

Constructed an SO(4)-symmetric supergravity solution with magnetic and electric fields.

Connected the solution to higher-dimensional theories via dimensional reduction and uplift.

Identified the dual gauge theory as a twisted 3D gauge theory on an NS-fivebrane.

Abstract

We study the SO(4)-symmetric solution of the five-dimensional SU(2) x U(1) gauged N=4 supergravity theory obtained in [hep-th/0101202]. This solution contains purely magnetic non-Abelian and electric Abelian fields. It can be interpreted as a reduction of seven-dimensional gauged supergravity on a torus, which comes from type IIB supergravity on S^3. We also show how to obtain that solution from six-dimensional Romans' theory on a circle. We then up-lift the solution to massless type IIA supergravity. The dual gauge field theory is twisted and is defined on the worldvolume of a NS-fivebrane wrapped on S^3. Two other spatial directions of the NS-fivebrane are on a torus. In the IR limit it corresponds to a three-dimensional gauge field theory with two supercharges.