A Note on E11 and Three-dimensional Gauged Supergravity

Understand

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.