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

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• Non-linear parent action and dual gravity
• Twin Supergravities
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• Supergravity and M-Theory
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• The many vacua of gauged extended supergravities
• Charting the Conformal Manifold of Holographic CFT${}_2$'s
• Gauged Supergravities and the Physics of Extra Dimensions
• Gaugings and other aspects in supergravity