On AdS3 solutions of Type IIB

Abstract

A bstract We study $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1 supersymmetric AdS 3 × M 7 backgrounds of Type IIB supergravity, with non-vanishing axio-dilaton, three-form and five-form fluxes, and a “strict” SU(3)-structure on M 7 . We derive the necessary and sufficient conditions for supersymmetry as a set of constraints on the torsion classes of the SU(3)-structure. Given an Ansatz for the three-form fluxes, the problem of also solving the equations of motion involves a “master equation”, which generalizes ones that have previously appeared in the literature.

Topics & Concepts