A Note on E11 and Three-dimensional Gauged Supergravity

Abstract

We determine the gauge symmetries of all p-forms in maximal three-dimensional gauged supergravity by requiring invariance of the Lagrangian. It is shown that in a particular ungauged limit these symmetries are in precise correspondence to those predicted by the very-extended Kac-Moody algebra E11. We demonstrate that whereas in the ungauged limit the bosonic gauge algebra closes off-shell, the closure is only on-shell in the full gauged theory. This underlines the importance of dynamics for understanding the Kac-Moody origin of the symmetries of gauged supergravity.

Published version

References in corpus (6)

• The E_{11} origin of all maximal supergravities
• E(11) and the Embedding Tensor
• Kac-Moody Spectrum of (Half-)Maximal Supergravities
• Eleven dimensional supergravity and the E10/KE10 sigma-model at low A9 levels
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• Multiple M2-branes and the Embedding Tensor
• Multiple Membranes from Gauged Supergravity
• Twin Supergravities
• E10 and Gauged Maximal Supergravity
• The many vacua of gauged extended supergravities