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arXiv · 1805.07506

A Geometric Construction of Solutions to 11D Supergravity

Teng Fei·Bin Guo·Duong H. Phong
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Abstract

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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Teng Fei, Bin Guo, Duong H. Phong. 2018-05-19. A Geometric Construction of Solutions to 11D Supergravity. https://doi.org/10.1007/s00220-019-03322-w

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