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

Hitoshi Nishino·Subhash Rajpoot
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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: π_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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Hitoshi Nishino, Subhash Rajpoot. 2004-02-15. Alephnull-Extended Supersymmetric Chern-Simons Theory for Arbitrary Gauge Groups. https://doi.org/10.1103/physrevd.70.027701

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