Supergravity Solutions with $AdS_4$ from Non-Abelian T-Dualities

TL;DR

This paper constructs new warped AdS4 supergravity backgrounds via non-Abelian T-duality applied to known 11d solutions, exploring their properties and dual field theories.

Contribution

It introduces a broad class of new supergravity solutions with AdS4 factors obtained through non-Abelian T-duality, extending the landscape of holographic duals.

Findings

New supergravity backgrounds with warped AdS4 and fluxes.

Explicit computation of holographic central charges.

Identification of dual field theories, including ABJM.

Abstract

We present a large class of new backgrounds that are solutions of type II supergravity with a warped AdS${}_4$ factor, non-trivial axion-dilaton, B-field, and three- and five-form Ramond-Ramond fluxes. We obtain these solutions by applying non-Abelian T-dualities with respect to SU(2) or SU(2)/U(1) isometries to reductions to 10d IIA of 11d sugra solutions of the form AdS${}_4 \times Y^7$, with $Y^7 = S^7/\mathbb{Z}_k, S^7, M^{1,1,1}, Q^{1,1,1}$ and $N(1,1)$. The main class of reductions to IIA is along the Hopf fiber and leads to solutions of the form $AdS_4 \times K_6$, where $K_6 $ is K\"ahler Einstein with $K_6=\mathbb{CP}^3, S^2\times \mathbb{CP}^2, S^2\times S^2 \times S^2$; the first member of this class is dual to the ABJM field theory in the 't Hooft limit. We also consider other less symmetric but susy preserving reductions along circles that are not the Hopf fiber. In the case of $N(1,1)$ we find an additional breaking of isometries in the NAT-dual background. To initiate the study of some properties of the field theory dual, we explicitly compute the central charge holographically.