Non-semisimple and complex gaugings of N=16 supergravity

Fischbacher, Thomas; Nicolai, Hermann; Samtleben, Henning

doi:10.1007/s00220-004-1081-z

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Non-semisimple and complex gaugings of N=16 supergravity

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Fischbacher, Thomas
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Nicolai, Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fischbacher, T., Nicolai, H., & Samtleben, H. (2004). Non-semisimple and complex gaugings of N=16 supergravity. Communications in Mathematical Physics, 249, 475-496. doi:10.1007/s00220-004-1081-z.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-508A-B

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.