On supersymmetric AdS$_3$ solutions of Type II

TL;DR

This paper classifies supersymmetric warped AdS3 solutions in Type II supergravity with dynamic SU(3)-structure, encompassing various flux configurations and supersymmetry levels, and explores their geometric properties including G2-structure limits.

Contribution

It provides a comprehensive classification of supersymmetric AdS3 backgrounds with non-constant dilaton and fluxes, introducing the concept of dynamic SU(3)-structure and its relation to G2-structure in Type IIB.

Findings

Recovered solutions with different supersymmetry levels.

Identified conditions for integrability of the G2-structure.

Established the relation between SU(3)-structure and G2-structure.

Abstract

We classify supersymmetric warped AdS$_3 \times_w M_7$ backgrounds of Type IIA and Type IIB supergravity with non-constant dilaton, generic RR fluxes and magnetic NSNS flux, in terms of a dynamic $SU(3)$-structure on $M_7$. We illustrate our results by recovering several solutions with various amounts of supersymmetry. The dynamic $SU(3)$-structure includes a $G_2$-structure as a limiting case, and we show that in Type IIB this is integrable.