Kac-Moody Spectrum of (Half-)Maximal Supergravities

Details Kac-Moody Spectrum of (Half-)Maximal Supergravities Kac-Moody Spectrum of (Half-)Maximal Supergravities

2007-11-13

arxiv.org/abs/0711.2035v2

JHEP0802:069,2008

Physics

High Energy Physics

High Energy Physics - Theory

Added references, published version

Scientific paper

10.1088/1126-6708/2008/02/069

We establish the correspondence between, on one side, the possible gaugings and massive deformations of half-maximal supergravity coupled to vector multiplets and, on the other side, certain generators of the associated very extended Kac-Moody algebras. The difference between generators associated to gaugings and to massive deformations is pointed out. Furthermore, we argue that another set of generators are related to the so-called quadratic constraints of the embedding tensor. Special emphasis is placed on a truncation of the Kac-Moody algebra that is related to the bosonic gauge transformations of supergravity. We give a separate discussion of this truncation when non-zero deformations are present. The new insights are also illustrated in the context of maximal supergravity.

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