On Non-Abelian T-Duality and new N=1 backgrounds

TL;DR

This paper investigates non-Abelian T-duality as a solution-generating tool for $N=1$ holographic geometries by applying it to the Klebanov-Witten and Klebanov-Tseytlin backgrounds. It derives two new backgrounds: a regular AdS5 x S2-containing solution (lifted to eleven dimensions) and a cascading-like massive IIA background, both preserving $N=1$ supersymmetry. The authors obtain the dual NS-NS and RR sectors, map brane charges (e.g. D3 → D6, D5 → D8), and show that the central charge is invariant under duality up to a RG-scale, with a cascade interpretation in the non-conformal case. They discuss prospects for identifying precise field theory duals and extending the method to more general non-Abelian isometries.

Abstract

We study the action of non-Abelian T-duality in the context of N=1 geometries with well understood field theory duals. In the conformal case this gives rise to a new solution that contains an AdS_5 X S^2 piece. In the case of non-conformal geometries we obtain a new background in massive IIA supergravity that presents similar behaviour to the cascade of Seiberg dualities. Some physical observables are discussed.