# A Geometric Construction of Solutions to 11D Supergravity

@article{Fei2018AGC, title={A Geometric Construction of Solutions to 11D Supergravity}, author={T. Fei and B. Guo and D. Phong}, journal={Communications in Mathematical Physics}, year={2018}, volume={369}, pages={811-836} }

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 non-compact, 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 non-supersymmetric deformations of the Duff… Expand

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