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