On $\mathcal{N}=1$ AdS$_3$ solutions of Type IIB

Abstract : We study $\mathcal{N}=1$ supersymmetric AdS$_3 \times M_7$ 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.
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Submitted on : Tuesday, November 5, 2019 - 11:48:57 PM
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Achilleas Passias, Daniël Prins. On $\mathcal{N}=1$ AdS$_3$ solutions of Type IIB. 2019. ⟨hal-02350170⟩



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