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arXiv · 0805.2573

Extended Symmetries in Supergravity: the Semi-simple Case

Axel Kleinschmidt·Diederik Roest
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Abstract

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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Axel Kleinschmidt, Diederik Roest. 2008-07-04. Extended Symmetries in Supergravity: the Semi-simple Case. https://doi.org/10.1088/1126-6708%2F2008%2F07%2F035

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