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arxiv: 1609.06458 · v4 · pith:U467YB6Nnew · submitted 2016-09-21 · ✦ hep-th

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

classification ✦ hep-th
keywords a-functionordertheorydimensionsnext-to-leadingsupersymmetrictheoriesthree
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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.

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