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

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

2009-09-16

arxiv.org/abs/0909.2970v2

JHEP 0910:075,2009

Physics

High Energy Physics

High Energy Physics - Theory

1+37 pages, 3 figures; v2: a reference added, to appear in JHEP

Scientific paper

10.1088/1126-6708/2009/10/075

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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