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arXiv · 0909.2970

Quantum N=3, d=3 Chern-Simons Matter Theories in Harmonic Superspace

I. L. Buchbinder·E. A. Ivanov·O. Lechtenfeld·N. G. Pletnev·I. B. Samsonov·B. M. Zupnik
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Abstract

We develop the background field method for studying classical and quantum aspects of N=3, d=3 Chern-Simons and matter theories in N=3 harmonic superspace. As one of the immediate consequences, we prove a nonrenormalization theorem implying the ultra-violet finiteness of the corresponding supergraph perturbation theory. We also derive the general hypermultiplet and gauge superfield propagators in a Chern-Simons background. The leading supergraphs with two and four external lines are evaluated. In contrast to the non-supersymmetric theory, the leading quantum correction to the massive charged hypermultiplet proves to be the super Yang-Mills action rather than the Chern-Simons one. The hypermultiplet mass is induced by a constant triplet of central charges in the N=3, d=3 Poincare superalgebra.

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I. L. Buchbinder, E. A. Ivanov, O. Lechtenfeld, N. G. Pletnev, I. B. Samsonov, B. M. Zupnik. 2009-09-16. Quantum N=3, d=3 Chern-Simons Matter Theories in Harmonic Superspace. https://doi.org/10.1088/1126-6708/2009/10/075

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