The a-function for N=2 supersymmetric gauge theories in three dimensions

Abstract

Recently, the existence of a candidate a-function for renormalisable theories in three dimensions was demonstrated for a general theory at leading order and for a scalar-fermion theory at next-to-leading order. Here we extend this work by constructing the a-function at next-to-leading order for an N=2 supersymmetric Chern-Simons theory. This increase in precision for the a-function necessitated the evaluation of the underlying renormalization-group functions at four loops.

arXiv comment19 pages, uses Axodraw; revised version with reference added and typo in Eq.(3.9) corrected

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• Anomalous dimensions for ${\varphi }^n$ in scale invariant $d=3$ theory
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• Five-loop massive tadpoles