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Duality invariant actions and generalised geometry

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Abstract

We construct the non-linear realisation of the semi-direct product of E 11 and its first fundamental representation at lowest order and appropriate to spacetime dimensions four to seven. This leads to a non-linear realisation of the duality groups and introduces fields that depend on a generalised space which possess a generalised vielbein. We focus on the part of the generalised space on which the duality groups alone act and construct an invariant action.

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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 & Malcolm J. Perry

  3. Department of Mathematics, King’s College, London, WC2R 2LS, U.K.

    Peter West

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

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ArXiv ePrint: 1111.0459

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Berman, D.S., Godazgar, H., Perry, M.J. et al. Duality invariant actions and generalised geometry. J. High Energ. Phys. 2012, 108 (2012). https://doi.org/10.1007/JHEP02(2012)108

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