# The $AdS_5$ non-Abelian T-dual of Klebanov-Witten as a $\mathcal{N} = 1$ linear quiver from M5-branes

## TL;DR

This paper constructs a new $AdS_5$ background via non-Abelian T-duality on Klebanov-Witten, revealing a dual $
=1$ linear quiver gauge theory with $n^3$ scaling, and confirms the duality through central charge calculations.

## Contribution

It introduces a novel $AdS_5$ solution from non-Abelian T-duality and identifies its dual $
=1$ quiver gauge theory with M5-brane interpretation.

## Key findings

- The $AdS_5$ background is dual to a linear quiver with increasing gauge group ranks.
- The central charge matches between holographic and field theory calculations.
- The $n^3$ scaling indicates an M5-brane origin in eleven dimensions.

## Abstract

In this paper we study an $AdS_5$ 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 $\mathcal{N}=1$ quiver gauge theories built out of $\mathcal{N}=1$ and $\mathcal{N}=2$ 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 $n^3$ 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.