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A Geometric Construction of Solutions to 11D Supergravity

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arxiv 1805.07506 v1 pith:ZKPKI2HP submitted 2018-05-19 hep-th math-phmath.DGmath.MP

Teng Fei , Bin Guo , Duong H. Phong This is my paper · ORCID
classification hep-thmath-phmath.DGmath.MP
keywords solutionssupergravitysolutionclasscompleteconditionsconstructedconstruction
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Necessary and sufficient conditions are provided for a class of warped product manifolds with non-vanishing flux to be supersymmetric solutions of 11D supergravity. Many noncompact, but complete solutions can be obtained in this manner, including the multi-membrane solution initially found by Duff and Stelle. In a different direction, an explicit 5-parameter moduli space of solutions to 11D supergravity is also constructed which can be viewed as nonsupersymmetric deformations of the Duff-Stelle solution.

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