A Geometric Construction of Solutions to 11D Supergravity
High Energy Physics - Theory
2020-11-10 v1 Mathematical Physics
Differential Geometry
math.MP
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.
Keywords
Cite
@article{arxiv.1805.07506,
title = {A Geometric Construction of Solutions to 11D Supergravity},
author = {Teng Fei and Bin Guo and Duong H. Phong},
journal= {arXiv preprint arXiv:1805.07506},
year = {2020}
}
Comments
30 pages, comments welcome!