Alephnull-Extended Supersymmetric Chern-Simons Theory for Arbitrary Gauge Groups
High Energy Physics - Theory
2009-11-10 v1
Abstract
We present a model of supersymmetric non-Abelian Chern-Simons theories in three-dimensions with arbitrarily many supersymmetries, called alephnull-extended supersymmetry. The number of supersymmetry N equals the dimensionality of any non-Abelian gauge group G as N = dim G. Due to the supersymmetry parameter in the adjoint representation of a local gauge group G, supersymmetry has to be local. The minimal coupling constant is to be quantized, when the homotopy mapping is nontrivial: \pi_3(G) = Z. Our results indicate that there is still a lot of freedom to be explored for Chern-Simons type theories in three dimensions, possibly related to M-theory.
Cite
@article{arxiv.hep-th/0402111,
title = {Alephnull-Extended Supersymmetric Chern-Simons Theory for Arbitrary Gauge Groups},
author = {Hitoshi Nishino and Subhash Rajpoot},
journal= {arXiv preprint arXiv:hep-th/0402111},
year = {2009}
}
Comments
6 pages, no figure