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

Abstract

Warped AdS${}_3$ solutions in 10 dimensional supergravity that preserve $\mathcal{N}=(1,1)$ 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

arXiv comment49 pages, 4 figures. v2: references, typos, new appendix on general N=(1,0) conditions, correction to sufficient N=(1,1) conditions when spinor norms are non equal

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