New $AdS_3 \times S^2$ T-duals with $\mathcal{N} = (0,4)$ supersymmetry

TL;DR

This paper constructs new supersymmetric $AdS_3 imes S^2$ geometries via non-Abelian T-duality, revealing novel backgrounds with $SU(2)$-structure and analyzing their holographic duals with large $ cal=4$ superconformal symmetry.

Contribution

It presents the first explicit examples of $AdS_3 imes S^2$ geometries with $SU(2)$-structure obtained through non-Abelian T-duality, expanding the landscape of known supersymmetric backgrounds.

Findings

New $AdS_3 imes S^2$ solutions with $SU(2)$-structure

Holographic duals exhibit large $ cal=4$ superconformal symmetry

Central charges are consistent with superconformal algebra

Abstract

It is well known that Hopf-fibre T-duality and uplift takes the D1-D5 near-horizon into a class of $AdS_3 \times S^2$ geometries in 11D where the internal space is a Calabi-Yau three-fold. Moreover, supersymmetry dictates that Calabi-Yau is the only permissible $SU(3)$-structure manifold. Generalising this duality chain to non-Abelian isometries, a strong parallel exists, resulting in the first explicit example of a class of $AdS_3 \times S^2$ geometries with $SU(2)$-structure. Furthermore, the non-Abelian T-dual of $AdS_3 \times S^3 \times S^3 \times S^1$ results in a new supersymmetric $AdS_3 \times S^2$ geometry, which falls outside of all known classifications. We explore the basic properties of the holographic duals associated to the new backgrounds. We compute the central charges and show that they are compatible with a large $\mathcal{N}=4$ superconformal algebra in the infra-red.