<i>a</i>-function for <i>N</i>=2 supersymmetric gauge theories in three dimensions



Gracey, JA ORCID: 0000-0002-9101-2853, Jack, I, Poole, C and Schroder, Y
(2017) <i>a</i>-function for <i>N</i>=2 supersymmetric gauge theories in three dimensions. PHYSICAL REVIEW D, 95 (2). 025005-.

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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.

Item Type: Article
Additional Information: 19 pages, uses Axodraw; revised version with reference added and typo in Eq.(3.9) corrected
Uncontrolled Keywords: hep-th, hep-th
Depositing User: Symplectic Admin
Date Deposited: 03 Feb 2017 12:13
Last Modified: 12 Oct 2023 19:54
DOI: 10.1103/PhysRevD.95.025005
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3005179