English

Three-Algebras in N = 5, 6 Superconformal Chern-Simons Theories: Representations and Relations

High Energy Physics - Theory 2011-02-25 v3 High Energy Physics - Phenomenology

Abstract

In this work we present 3-algebraic constructions and representations for three-dimensional N = 5 supersymmetric Chern-Simons theories, and show how they relate to theories with additional supersymmetries. The N = 5 structure constants give theories with Sp(2N) \times SO(M) gauge symmetry, as well as more exotic symmetries known from gauged supergravity. We find explicit lifts from N = 6 to 8, and N = 5 to 6 and 8, for appropriate gauge groups.

Keywords

Cite

@article{arxiv.1006.0040,
  title  = {Three-Algebras in N = 5, 6 Superconformal Chern-Simons Theories: Representations and Relations},
  author = {Jonathan Bagger and George Bruhn},
  journal= {arXiv preprint arXiv:1006.0040},
  year   = {2011}
}

Comments

23 pages. Published version. References corrected