Kac-Moody spectrum of (half-)maximal supergravities

Eric A Bergshoeff, Joaquim Gomis, Teake A Nutma, Diederik Roest
2008 Journal of High Energy Physics  
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
more » ... 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.
doi:10.1088/1126-6708/2008/02/069 fatcat:r2frn25imnewxl3jgalmrau4vq