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

TL;DR

This work constructs gravity duals for twisted field theories arising from D4-branes wrapped on two- and three-cycles and NS5-branes wrapped on cycles, using Romans' six-dimensional gauged supergravity as the starting point and uplifting to ten dimensions. It identifies solutions with excitations of non-Abelian gauge fields or B-fields, including a new massless case uplift to type IIA, and develops holographic flows from AdS6-type UV regions to lower-dimensional geometries. A key result is a non-Abelian massive IIA solution that corresponds to wrapped brane configurations and yields AdS3×H3 or AdS3×S3 in ten dimensions, with explicit BPS structure and symmetry. The massless case is shown to embed in type IIA via a KK reduction chain, enabling AdS4–type solutions and prompting discussion of IR singularities and possible resolutions through non-Abelian dynamics or black hole horizons. Overall, the paper broadens AdS/CFT realizations for twisted branes and highlights new avenues for studying lower-dimensional duals and non-commutative twists.

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.