Extended Symmetries in Supergravity: the Semi-simple Case

Understand

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.