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The \(\mathrm{AdS}_{5}\) non-abelian T-dual of Klebanov-Witten as a \( \mathcal{N}=1 \) linear quiver from M5-branes. (English) Zbl 1382.81182
Summary: In this paper we study an \(\mathrm{AdS}_{5}\) 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 I. Bah and N. Bobev [ibid. 2014, No. 8, Paper No. 121, 18 p. (2014; Zbl 1383.81275)]. 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.

MSC:
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
83E30 String and superstring theories in gravitational theory
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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