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The local symmetries of M-theory and their formulation in generalised geometry

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arxiv 1110.3930 v3 pith:G6MHY3UN submitted 2011-10-18 hep-th

The local symmetries of M-theory and their formulation in generalised geometry

David S. Berman , Hadi Godazgar , Mahdi Godazgar , Malcolm J. Perry This is my paper
classification hep-th
keywords generalisedgeometrym-theorydoubledlocalspacesymmetriestheory
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In the doubled field theory approach to string theory, the T-duality group is promoted to a manifest symmetry at the expense of replacing ordinary Riemannian geometry with generalised geometry on a doubled space. The local symmetries are then given by a generalised Lie derivative and its associated algebra. This paper constructs an analogous structure for M-theory. A crucial by-product of this is the derivation of the physical section condition for M-theory formulated in an extended space.

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    In D=3 and D=4 A-theory, all consistent solutions of the Gauss-law dimensional-reduction condition are strings, and the brane Virasoro algebra reduces to the ordinary string Virasoro algebra.