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

Abstract

In this paper we study an AdS 5 solution constructed using non-Abelian Tduality, 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 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.

The non-Abelian T-dual of Klebanov-Witten background and its Penrose limits

“…( This equation represents the holographic central charge of the field theory dual to the Abelian T-dual background in terms of the D4-brane charge N. Interestingly, this central charge is identical to the one obtained upon T-dualizing along the φ 2 direction [33]. As in [33], we find a factor of 2 difference with respect to the original background due to the change in periodicity along the ψ-direction.…”

“…It is straightforward to obtain the dual geometry using the standard rules of T-duality [32]. The duality preserves all the supersymmetries of the Klebanov-Strassler background.The field theory dual correspoding to this background has been analysed [33]. The metric corresponding to the dual background is given by…”

“…Hence, the IIB string coupling is related tog A s as g B s = L 2g s . For the Klebanov-Witten background the size L of AdS 5 space is quantized in terms of the F 5 flux N 3 as [33]:…”

“…It is instructive to compute the central charge using holography. We will use the techniques developed in [15,33] to compute the holographic central charge. Consider the background of the form…”

“…For the AdS 5 × T 1,1 background [33], the holographic central charge is given in terms of the three brane charge N 3 as (27/64)N 2 3 . The supergravity background which is of interest for our purpose is…”