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arXiv · 0803.2989

A Note on E11 and Three-dimensional Gauged Supergravity

Eric A. Bergshoeff·Olaf Hohm·Teake A. Nutma
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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.

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Eric A. Bergshoeff, Olaf Hohm, Teake A. Nutma. 2008-05-23. A Note on E11 and Three-dimensional Gauged Supergravity. https://doi.org/10.1088/1126-6708%2F2008%2F05%2F081

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