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(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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ArXiv ePrint: 1302.5419
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Aldazabal, G., Graña, M., Marqués, D. et al. Extended geometry and gauged maximal supergravity. J. High Energ. Phys. 2013, 46 (2013). https://doi.org/10.1007/JHEP06(2013)046
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DOI: https://doi.org/10.1007/JHEP06(2013)046