English

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

High Energy Physics - Theory 2017-01-11 v4

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.

Keywords

Cite

@article{arxiv.1609.06458,
  title  = {The a-function for N=2 supersymmetric gauge theories in three dimensions},
  author = {J. A. Gracey and I. Jack and C. Poole and Y. Schroder},
  journal= {arXiv preprint arXiv:1609.06458},
  year   = {2017}
}

Comments

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

R2 v1 2026-06-22T15:56:17.156Z