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Extended geometry and gauged maximal supergravity
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DOI：10.1007/JHEP06(2013)046.png)
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Abstract
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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.
Keywords:
Flux compactifications
Supersymmetry and Duality
Extended Supersymmetry
String Duality
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5.5
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4.0W
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