Supergravities without an Action: Gauging the Trombone

Arnaud Le Diffon (1) , Henning Samtleben (1)

1 Phys-ENS - Laboratoire de Physique de l'ENS Lyon

We present a systematic account of supergravity theories in which the global scaling symmetry is gauged. This generalizes the standard gaugings of non-abelian off-shell symmetries. A particular feature of these theories is an additional positive contribution to the effective cosmological constant. As the scaling symmetry is an on-shell symmetry, the resulting gaugings do no longer possess an action. We develop the algebraic framework for the maximal theories in various dimensions and construct explicit solutions to the algebraic consistency constraints --- related to "pure-spinor-like" structures for the exceptional groups. As an example, we explicitly work out the modified supersymmetry transformation rules and equations of motion in three dimensions. Finally, we speculate about the role of these theories from the perspective of very extended Kac-Moody algebras.

Mots clés: supergravity; gauge theory; scaling symmetry

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

Arnaud Le Diffon, Henning Samtleben. Supergravities without an Action: Gauging the Trombone. Nuclear Physics B, 2008, 811 (811), pp.1-35. ⟨10.1016/j.nuclphysb.2008.11.010⟩. ⟨ensl-00325444⟩