Holographic Flows in non-Abelian T-dual Geometries

TL;DR

This paper constructs new supergravity solutions via non-Abelian T-duality, exploring their holographic RG flow interpretation and providing a novel formulation of the duality in terms of SU(2) structures.

Contribution

It introduces a method to generate N=1 supergravity solutions using non-Abelian T-duality and formulates this process through SU(2) structures, advancing holographic RG flow studies.

Findings

New N=1 supergravity solutions interpolating between AdS_5 geometries

A formulation of non-Abelian T-duality using SU(2) structures

Insights into holographic RG flows between conformal fixed points

Abstract

We use non-Abelian T-duality to construct new N=1 solutions of type IIA supergravity (and their M-theory lifts) that interpolate between AdS_5 geometries. We initiate a study of the holographic interpretation of these backgrounds as RG flows between conformal fixed points. Along the way we give an elegant formulation of non-Abelian T-duality when acting on a wide class of backgrounds, including those corresponding to such flows, in terms of their SU(2) structure.