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2019

On AdS$_3$ solutions of Type IIB

Passias, Achilleas, Prins, Daniël

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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.

On AdS$_3$ solutions of Type IIB · Around

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J. P. Gauntlett and N. Kim, “Geometries with Killing Spinors and Supersymmetric AdS Solutions,” Commun. Math. Phys
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A. Donos, J. P. Gauntlett, and N. Kim, “AdS Solutions Through Transgression,” JHEP
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C. Couzens, D. Martelli, and S. Schafer-Nameki, “F-theory and AdS 3
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L. Eberhardt, “Supersymmetric AdS 3
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