Nonsemisimple and complex gaugings of N=16 supergravity
Nonsemisimple and complex gaugings of N=16 supergravity
Maximal 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
supergravity, noncompact gauge groups, symbolic algebra, spontaneous symmetry breaking
475-496
Fischbacher, T.
c1c2b932-e6a2-47a8-8030-757108266d03
Nicolai, H.
d72fa112-3738-4426-a60c-d56e3c57d2ef
Samtleben, H.
95cceebe-452c-45f7-abed-36735ea0f843
7 April 2004
Fischbacher, T.
c1c2b932-e6a2-47a8-8030-757108266d03
Nicolai, H.
d72fa112-3738-4426-a60c-d56e3c57d2ef
Samtleben, H.
95cceebe-452c-45f7-abed-36735ea0f843
Fischbacher, T., Nicolai, H. and Samtleben, H.
(2004)
Nonsemisimple and complex gaugings of N=16 supergravity.
Communications in Mathematical Physics, 249 (3), .
(doi:10.1007/s00220-004-1081-z).
Abstract
Maximal 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
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Submitted date: 27 June 2003
Published date: 7 April 2004
Keywords:
supergravity, noncompact gauge groups, symbolic algebra, spontaneous symmetry breaking
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Local EPrints ID: 46367
URI: http://eprints.soton.ac.uk/id/eprint/46367
ISSN: 0010-3616
PURE UUID: 3dee2101-3a3d-4b1e-acfd-dc87d24b6a1f
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Date deposited: 22 Jun 2007
Last modified: 15 Mar 2024 09:21
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Author:
T. Fischbacher
Author:
H. Nicolai
Author:
H. Samtleben
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