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Mink$_4\times S^2$ Solutions of 10 and 11 Dimensional Supergravity

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arxiv 1811.11224 v3 pith:GRKVCMIF submitted 2018-11-27 hep-th

Andrea Legramandi , Niall T. Macpherson This is my paper · ORCID
classification hep-th
keywords solutionstypem-theoryminksupergravitytimesassumptionsatiyah-hitchin
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abstract

We complete the classification of Mink$_4$ solutions preserving $\mathcal{N}=2$ supersymmetry and SU(2) R-symmetry parameterised by a round $S^2$ factor. We consider eleven-dimensional supergravity and relax the assumptions of earlier works in type II theories. We show that, using chains of dualities, all solutions of this type can be generated from one of two master classes: an SU(2)-structure in M-theory and a conformal Calabi-Yau in type IIB. Finally, using our results, we recover AdS$_5\times S^2$ solutions in M-theory and construct a compact Minkowski solution with Atiyah-Hitchin singularity.

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  1. AdS$_3$ solutions in Massive IIA with small $\mathcal{N}=(4,0)$ supersymmetry

    hep-th 2019-08 conditional novelty 7.0 of 10

    Two new classes of AdS3 x S2 solutions in massive IIA with small N=(4,0) supersymmetry are derived, along with their T-dual IIB counterparts.

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