The AdS 5 non-Abelian T-dual of Klebanov-Witten as a N= 1 linear quiver from M5-branes

Abstract

In this paper we study an AdS5 solution constructed using non-Abelian T-duality, acting on the Klebanov-Witten background. We show that this is dual to a linear quiver with two tails of gauge groups of increasing rank. The field theory dynamics arises from a D4-NS5-NS5’ brane set-up, generalizing the constructions discussed by Bah and Bobev. These realize N= 1 quiver gauge theories built out of N= 1 and N= 2 vector multiplets flowing to interacting fixed points in the infrared. We compute the central charge using a-maximization, and show its precise agreement with the holographic calculation. Our result exhibits n3 scaling with the number of five-branes. This suggests an eleven-dimensional interpretation in terms of M5-branes, a generic feature of various AdS backgrounds obtained via non-Abelian T-duality.