AdS3×S2 in IIB with small $$ \mathcal{N} $$ = (4, 0) supersymmetry

Abstract

Abstract We consider warped AdS3×S2×M5 backgrounds in type II supergravity preserving small $$ \mathcal{N} $$ N = (4, 0) supersymmetry. We show that imposing $$ \mathcal{N} $$ N = (4, 0) supersymmetry imposes between 0 and 3 a priori isometries in the internal M5. In this work we focus on classes of solution where M5 exhibits no a priori isometry which imposes additional constraints. Solving these in IIA forces M5 to support an SU(2)-structure, a class already studied in [10], while in IIB one arrives at two broad new classes with identity-structure that we reduce to local expressions for the physical fields and PDEs.