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Generalized Geometry and M theory

2010/08/31 by David S. Berman, Malcolm J. Perry · 1 citation
Physics and Astronomy · #hep-th #gr-qc

paper · pdf · doi:10.1007/jhep06(2011)074

published as JHEP 1106:074,2011 · 29 pages of Latex, v2 References added, typos fixed, v3 corrected kinetic term and references added

arxiv created 2011/04/27 · arxiv updated 2011/06/20

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.

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