Non-Abelian T-duality and the AdS/CFT correspondence:new N=1 backgrounds

TL;DR

This paper explores non-Abelian T-duality applied to N=1 supergravity backgrounds, producing new type-IIA and M-theory geometries, and investigates their implications within the AdS/CFT correspondence, including invariance of key physical quantities.

Contribution

It introduces new supergravity backgrounds obtained via non-Abelian T-duality and analyzes their dual field theories, revealing invariance of central charge and entanglement entropy.

Findings

Dual geometries are smooth and quantized in Romans mass.

Central charge and entanglement entropy are invariant under duality.

Evidence of Seiberg-like duality and IR confinement in dual field theories.

Abstract

We consider non-Abelian T-duality on N=1 supergravity backgrounds possessing well understood field theory duals. For the case of D3-branes at the tip of the conifold, we dualise along an SU(2) isometry. The result is a type-IIA geometry whose lift to M-theory is of the type recently proposed by Bah et. al. as the dual to certain N=1 SCFT quivers produced by M5-branes wrapping a Riemann surface. In the non-conformal cases we find smooth duals in massive IIA supergravity with a Romans mass naturally quantised. We initiate the interpretation of these geometries in the context of the AdS/CFT correspondence. We show that the central charge and the entanglement entropy are left invariant by this dualisation. The backgrounds suggest a form of Seiberg duality in the dual field theories which also exhibit domain walls and confinement in the infrared.