${\cal N}=(1,1)$ supersymmetric AdS$_3$ in 10 dimensions

TL;DR

This paper classifies warped AdS3 solutions in 10D supergravity with ${ m N}=(1,1)$ supersymmetry, providing geometric conditions for their existence and discovering new solutions with internal spaces supporting SU(3) or SU(2) structures.

Contribution

It offers a classification of supersymmetric warped AdS3 solutions in 10D supergravity and introduces new solutions with specific internal space structures.

Findings

Derived geometric conditions for AdS3 solutions.

Classified internal spaces using torsion classes.

Discovered new solutions with SU(3) and SU(2) structures.

Abstract

Warped AdS$_3$ solutions in 10 dimensional supergravity that preserve ${\cal N}=(1,1)$ supersymmetry are considered. Sufficient geometric conditions for their existence, and to stop the AdS$_3$ factor experiencing an enhancement to AdS$_4$, are presented. The internal space of such solutions decomposes as a foliation of M$_6$ over an interval where M$_6$ supports either an SU(3)- or SU(2)-structure. The former case is classified in terms of torsion classes and new solutions are found