Classification of N=6 superconformal theories of ABJM type

Details Classification of N=6 superconformal theories of ABJM type Classification of N=6 superconformal theories of ABJM type

2008-07-08

arxiv.org/abs/0807.1102v1

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

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.

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