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Non-semisimple and complex gaugings of N=16 supergravity

机译:N = 16超重力的非半简单和复杂测量

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摘要

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.
机译:三维中的最大和非最大超重力允许使用各种半简单(Chern-Simons)规距组。在本文中,我们分析了满足最大强度(N = 16)规范超重力存在的相关一致性关系的非半规和复规范组。我们给出了一个通用过程,该过程如何通过E_ {8(8)}中的奇异增强从已知的可允许的半规范仪表组生成非半规范仪表组。实例包括带有量规组SO(8)x T_ {28}的理论,这些理论描述了在七个球体上IIA / IIB超重力的减少。另外,我们将复规范组SO(8,C)的两个“奇怪的嵌入”展示到(实数)E_ {8(8)}中,并证明可以一致地进行度量。我们讨论了相关标量势的结构以及它们与D> 3规范超重力的关系。

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