Alephnull-Extended Supersymmetric Chern-Simons Theory for Arbitrary Gauge Groups

Details Alephnull-Extended Supersymmetric Chern-Simons Theory for Arbitrary Gauge Groups Alephnull-Extended Supersymmetric Chern-Simons Theory for Arbitrary Gauge Groups

2004-02-15

arxiv.org/abs/hep-th/0402111v1

Phys.Rev. D70 (2004) 027701

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, no figure

Scientific paper

10.1103/PhysRevD.70.027701

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.

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