The Superconformal Gaugings in Three Dimensions
High Energy Physics - Theory
2008-11-26 v2
Abstract
We show how three-dimensional superconformal theories for any number N <= 8 of supersymmetries can be obtained by taking a conformal limit of the corresponding three-dimensional gauged supergravity models. The superconformal theories are characterized by an embedding tensor that satisfies a linear and quadratic constraint. We analyze these constraints and give the general solutions for all cases. We find new N = 4,5 superconformal theories based on the exceptional Lie superalgebras F(4), G(3) and D(2|1;\alpha). Using the supergravity connection we discuss which massive deformations to expect. As an example we work out the details for the case of N = 6 supersymmetry.
Keywords
Cite
@article{arxiv.0807.2841,
title = {The Superconformal Gaugings in Three Dimensions},
author = {Eric A. Bergshoeff and Olaf Hohm and Diederik Roest and Henning Samtleben and Ergin Sezgin},
journal= {arXiv preprint arXiv:0807.2841},
year = {2008}
}
Comments
22 pages; v2: refs. added, minor corrections, version published in JHEP