A Note on E11 and Three-dimensional Gauged Supergravity
High Energy Physics - Theory
2009-04-15 v2
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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Cite
@article{arxiv.0803.2989,
title = {A Note on E11 and Three-dimensional Gauged Supergravity},
author = {Eric A. Bergshoeff and Olaf Hohm and Teake A. Nutma},
journal= {arXiv preprint arXiv:0803.2989},
year = {2009}
}
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