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Extended geometry and gauged maximal supergravity

Abstract : We consider generalized diffeomorphisms on an extended mega-space associated to the U-duality group of gauged maximal supergravity in four dimensions, E_7. Through the bein for the extended metric we derive dynamical (field-dependent) fluxes taking values in the representations allowed by supersymmetry, and obtain their quadratic constraints from gauge consistency conditions. A covariant generalized Ricci tensor is introduced, defined in terms of a connection for the generalized diffeomorphisms. We show that for any torsionless and metric-compatible generalized connection, the Ricci scalar reproduces the scalar potential of gauged maximal supergravity. We comment on how these results extend to other groups and dimensions.
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Contributor : Mariana Grana <>
Submitted on : Wednesday, February 25, 2015 - 11:36:35 AM
Last modification on : Monday, February 10, 2020 - 6:13:39 PM

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  • HAL Id : cea-01120289, version 1
  • ARXIV : 1302.5419



G. Aldazabal, M. Graña, D. Marqués, J. A. Rosabal. Extended geometry and gauged maximal supergravity. Journal of High Energy Physics, Springer Verlag (Germany), 2013, pp.41. ⟨cea-01120289⟩



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