Field Theory Aspects of non-Abelian T-duality and N=2 Linear Quivers

TL;DR

This paper proposes a new field theory dual to a non-Abelian T-dual AdS_5 background, using a linear quiver with increasing gauge group ranks, and explores relations between Abelian and non-Abelian T-dual backgrounds within 4d N=2 SUSY CFTs.

Contribution

It introduces a novel linear quiver dual to a non-Abelian T-dual background and connects Abelian and non-Abelian T-dual solutions through a unified framework.

Findings

Proposes a linear quiver dual to the non-Abelian T-dual background.

Identifies a relation between Abelian and non-Abelian T-dual backgrounds.

Suggests different completions of the quiver matching various observables.

Abstract

In this paper we propose a linear quiver with gauge groups of increasing rank as field theory dual to the AdS_5 background constructed by Sfetsos and Thompson through non-Abelian T-duality. The formalism to study 4d N=2 SUSY CFTs developed by Gaiotto and Maldacena is essential for our proposal. We point out an interesting relation between (Hopf) Abelian and non-Abelian T-dual backgrounds that allows to see both backgrounds as different limits of a solution constructed by Maldacena and Nunez. This suggests different completions of the long quiver describing the CFT dual to the non-Abelian T-dual background that match different observables.