A Note on E11 and Three-dimensional Gauged Supergravity

نویسندگان

  • Eric A. Bergshoeff
  • Olaf Hohm
چکیده

We determine the gauge symmetries of all p–forms in maximal threedimensional gauged supergravity (0 ≤ p ≤ 3) 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 KacMoody 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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تاریخ انتشار 2008