Holographic Flows in non-Abelian T-dual Geometries

TL;DR

The paper develops a framework to study holographic RG flows by applying non-Abelian T-duality (NATD) to flows between AdS$_5$ fixed points, producing new ${\cal N}=1$ type IIA backgrounds and their M-theory lifts. It formulates a general $SU(2)$-structure approach to NATD, ensuring supersymmetry and Bianchi identities are preserved, and applies the method to the Klebanov-Murugan flow as a concrete test case. The authors compute Page charges, central charges, and holographic observables (baryonic condensates and axionic strings) in the NATD backgrounds and interpret the results within the dual field theories, including links to GM class S constructions. They show NATD acts as a solution-generating map that preserves SUSY under a vanishing Kosmann derivative and yields end-point GM-type backgrounds, highlighting potential connections to $T_N$ theories and six-dimensional origins of the governing dynamics.

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.