Supergravity duals of gauge theories from F(4) gauged supergravity in six dimensions

TL;DR

This paper constructs supergravity solutions dual to twisted field theories from D4-branes and NS-fivebranes wrapped on cycles, providing new AdS/CFT examples with explicit uplifts to ten dimensions.

Contribution

It presents the first explicit supergravity solutions in six dimensions with uplifts to ten-dimensional string theories for twisted field theories.

Findings

Solutions for D4-branes wrapped on 2- and 3-cycles

Solutions involving non-Abelian fields and B-fields

First example of uplift to massless type IIA string theory

Abstract

We construct supergravity solutions dual to twisted field theories that are the worldvolume theories of D4-branes wrapped on 2, 3-cycles, and NS-fivebranes on 3-cycles. We first obtain the solutions for the Romans' six-dimensional gauged supergravity theories and then up-lift them to ten dimensions. In particular, we find solutions for field configurations with either non-Abelian fields or B-fields being excited. One of these solutions, in the massless case, is up-lifted to the massless type IIA string theory. This is the first example of such a kind. The cases studied provide new examples of the AdS/CFT duality involving twisted field theories.