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26 April 2024
 
  » arxiv » hep-th/0306276

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Non-semisimple and Complex Gaugings of N=16 Supergravity
T. Fischbacher ; H. Nicolai ; H. Samtleben ;
Date 27 Jun 2003
Journal Commun.Math.Phys. 249 (2004) 475-496
Subject hep-th
AbstractMaximal and non-maximal supergravities in three dimensions allow for a large variety of semisimple (Chern-Simons) gauge groups. In this paper, we analyze non-semisimple and complex gauge groups that satisfy the pertinent consistency relations for a maximal (N=16) gauged supergravity to exist. We give a general procedure how to generate non-semisimple gauge groups from known admissible semisimple gauge groups by a singular boost within E_{8(8)}. Examples include the theories with gauge group SO(8) x T_{28} that describe the reduction of IIA/IIB supergravity on the seven-sphere. In addition, we exhibit two `strange embeddings’ of the complex gauge group SO(8,C) into (real) E_{8(8)} and prove that both can be consistently gauged. We discuss the structure of the associated scalar potentials as well as their relation to those of D>3 gauged supergravities.
Source arXiv, hep-th/0306276
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