Extended Symmetries in Supergravity: the Semi-simple Case

Details Extended Symmetries in Supergravity: the Semi-simple Case Extended Symmetries in Supergravity: the Semi-simple Case

2008-05-16

arxiv.org/abs/0805.2573v2

JHEP 0807:035,2008

Physics

High Energy Physics

High Energy Physics - Theory

36 pages. v2: Added references. Published version

Scientific paper

10.1088/1126-6708/2008/07/035

The bosonic sector of various supergravity theories reduces to a homogeneous space G/H in three dimensions. The corresponding algebras g are simple for (half-)maximal supergravity, but can be semi-simple for other theories. We extend the existing literature on the Kac-Moody extensions of simple Lie algebras to the semi-simple case. Furthermore, we argue that for N=2 supergravity the simple algebras have to be augmented with an su(2) factor.

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