2013/02/28 by G. Aldazabal, M. Graña, D. Marqués +1 · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep06(2013)046
published as JHEP 1306 (2013) 046 · 41 pages. v2,v3: minor changes and references added
arxiv created 2013/05/28 · arxiv updated 2015/06/15
We consider generalized diffeomorphisms on an extended mega-space associated to the U-duality group of gauged maximal supergravity in four dimensions, E7. 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.