Generalized Geometry and M theory
High Energy Physics - Theory
2011-06-20 v4 General Relativity and Quantum Cosmology
Abstract
We reformulate the Hamiltonian form of bosonic eleven dimensional supergravity in terms of an object that unifies the three-form and the metric. For the case of four spatial dimensions, the duality group is manifest and the metric and C-field are on an equal footing even though no dimensional reduction is required for our results to hold. One may also describe our results using the generalized geometry that emerges from membrane duality. The relationship between the twisted Courant algebra and the gauge symmetries of eleven dimensional supergravity are described in detail.
Cite
@article{arxiv.1008.1763,
title = {Generalized Geometry and M theory},
author = {David S. Berman and Malcolm J. Perry},
journal= {arXiv preprint arXiv:1008.1763},
year = {2011}
}
Comments
29 pages of Latex, v2 References added, typos fixed, v3 corrected kinetic term and references added