A Geometric Construction of Solutions to 11D Supergravity
Teng Fei, Bin Guo, and Duong H. Phong
TL;DR
This paper presents a geometric framework for constructing solutions to 11D supergravity, including supersymmetric and non-supersymmetric cases, expanding the known solution space with explicit moduli and examples.
Contribution
It provides necessary and sufficient conditions for supersymmetric solutions and constructs a new 5-parameter moduli space of non-supersymmetric solutions.
Findings
Characterization of supersymmetric solutions via geometric conditions
Explicit construction of a 5-parameter moduli space of solutions
Recovery of the multi-membrane solution by Duff and Stelle
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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