On Lagrangians and Gaugings of Maximal Supergravities
Abstract
A consistent gauging of maximal supergravity requires that the T-tensor transforms according to a specific representation of the duality group. The analysis of viable gaugings is thus amenable to group-theoretical analysis, which we explain and exploit for a large variety of gaugings. We discuss the subtleties in four spacetime dimensions, where the ungauged Lagrangians are not unique and encoded in an E_7(7)\Sp(56,R)/GL(28) matrix. Here we define the T-tensor and derive all relevant identities in full generality. We present a large number of examples in d=4,5 spacetime dimensions which include non-semisimple gaugings of the type arising in (multiple) Scherk-Schwarz reductions. We also present some general background material on the latter as well as some group-theoretical results which are necessary for using computer algebra.
Cite
@article{arxiv.hep-th/0212239,
title = {On Lagrangians and Gaugings of Maximal Supergravities},
author = {Bernard de Wit and Henning Samtleben and Mario Trigiante},
journal= {arXiv preprint arXiv:hep-th/0212239},
year = {2010}
}
Comments
39 pages, LaTeX2e