Extended geometry and gauged maximal supergravity

G. Aldazabal (1, 2) , M. Graña (3) , D. Marqués (4) , J. A. Rosabal (1, 2)

1 Instituto Balseiro [Bariloche]
2 Centro Atómico Bariloche [Argentine]
3 IPHT - Institut de Physique Théorique - UMR CNRS 3681
4 IAFE - Instituto de Astronomía y Física del Espacio [Buenos Aires]

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.

Domaines: Physique [physics]; Physique des Hautes Energies - Théorie [hep-th]

G. Aldazabal, M. Graña, D. Marqués, J. A. Rosabal. Extended geometry and gauged maximal supergravity. Journal of High Energy Physics, 2013, 2013 (6), ⟨10.1007/JHEP06(2013)046⟩. ⟨cea-01295494⟩