Comments on non-Abelian T-duals and their holographic description

TL;DR

This paper constructs and analyzes three Type IIB supergravity solutions related to T-dualities of AdS4 backgrounds, revealing new insights into their holographic duals and brane configurations.

Contribution

It introduces a new supergravity background and clarifies the holographic interpretation of non-Abelian T-duals within a broader geometric framework.

Findings

Three Type IIB solutions with 8 supercharges are derived.

The non-Abelian T-dual is shown to be a zoom-in of a more general background.

Page charges and brane setups are explicitly computed.

Abstract

We present three different Type IIB AdS$_4$ Supergravity solutions, derived using the electrostatic-like problem formalism which preserves 8 Poincar\'{e} Supercharges. Two of these solutions correspond to the Abelian and non-Abelian T-duals of a Type IIA background, obtained from the dimensional reduction of 11D AdS$_4 \times S^7$ Supegravity. The third solution is a new background with some special properties. We compute the Page charges in each case, and provide brane set-up descriptions of the geometries. Also, we argue that the non-Abelian T-dual can be understood as a zoom-in of a more general background with a well defined holographic dual.