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

Gracey, JA ORCID: 0000-0002-9101-2853, Jack, I, Poole, C and Schroder, Y (2017) a-function for N=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:	19 Jan 2023 07:20
DOI:	10.1103/PhysRevD.95.025005
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3005179