Kac-Moody Spectrum of (Half-)Maximal Supergravities

Abstract

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.

Added references, published version

References in corpus (2)

• Eleven dimensional supergravity and the E10/KE10 sigma-model at low A9 levels
• Duality Symmetries and G^{+++} Theories

Cited by in corpus (8)

• Lectures on Gauged Supergravity and Flux Compactifications
• Gauge Theories, Duality Relations and the Tensor Hierarchy
• Multiple M2-branes and the Embedding Tensor
• Twin Supergravities
• Local E(11)
• The supersymmetric tensor hierarchy of N=1,d=4 supergravity
• Gaugings at angles from orientifold reductions
• E10 and Gauged Maximal Supergravity