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

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Abstract

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 the extended geometry of M-theory. A crucial by-product of this construction is the derivation of the physical section condition for M-theory formulated in an extended space.

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Authors and Affiliations

  1. Department of Physics, Queen Mary University of London, Mile End Road, London, E1 4NS, U.K.

    David S. Berman

  2. DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, U.K.

    Hadi Godazgar, Mahdi Godazgar & Malcolm J. Perry

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  1. David S. Berman
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  2. Hadi Godazgar
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  3. Mahdi Godazgar
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  4. Malcolm J. Perry
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Correspondence to David S. Berman.

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ArXiv ePrint: 1110.3930

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Berman, D.S., Godazgar, H., Godazgar, M. et al. The local symmetries of M-theory and their formulation in generalised geometry. J. High Energ. Phys. 2012, 12 (2012). https://doi.org/10.1007/JHEP01(2012)012

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