Classification of N=6 superconformal theories of ABJM type
High Energy Physics - Theory
2013-01-31 v1
Abstract
Studying the supersymmetry enhancement mechanism of Aharony, Bergman, Jafferis and Maldacena, we find a simple condition on the gauge group generators for the matter fields. We analyze all possible compact Lie groups and their representations. The only allowed gauge groups leading to the manifest N=6 supersymmetry are, up to discrete quotients, SU(n) x U(1), Sp(n) x U(1), SU(n) x SU(n), and SU(n) x SU(m) x U(1) with possibly additional U(1)'s. Matter representations are restricted to be the (bi)fundamentals. As a byproduct we obtain another proof of the complete classification of the three algebras considered by Bagger and Lambert.
Keywords
Cite
@article{arxiv.0807.1102,
title = {Classification of N=6 superconformal theories of ABJM type},
author = {Martin Schnabl and Yuji Tachikawa},
journal= {arXiv preprint arXiv:0807.1102},
year = {2013}
}
Comments
18 pages