Supersymmetric Open Wilson Lines
High Energy Physics - Theory
2011-04-05 v1
Abstract
In this paper we study Open Wilson Lines (OWL's) in the context of two Supersymmetric Yang Mills theories. First we consider four dimensional N=2 Supersymmetric Yang Mills Theory with hypermultiplets transforming in the fundamental representation of the gauge group, and find supersymmetric OWL's only in the superconformal versions of these theories. We then consider four dimensional N=4 SYM coupled to a three dimensional defect hypermultiplet. Here there is a semi-circular supersymmetric OWL, which is related to the ray by a conformal transformation. We perform a perturbative calculation of the operators in both theories, and discuss using localization to compute them non-perturbatively.
Cite
@article{arxiv.1102.4948,
title = {Supersymmetric Open Wilson Lines},
author = {Edward B. Baker},
journal= {arXiv preprint arXiv:1102.4948},
year = {2011}
}
Comments
26 pages, 3 figures