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arXiv · 1302.5419

Extended geometry and gauged maximal supergravity

G. Aldazabal·M. Graña·D. Marqués·J. A. Rosabal
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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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G. Aldazabal, M. Graña, D. Marqués, J. A. Rosabal. 2013-02-21. Extended geometry and gauged maximal supergravity. https://doi.org/10.1007/jhep06(2013)046

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