Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-02-24
JHEP 1103:140,2011
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, 3 figures
Scientific paper
10.1007/JHEP03(2011)140
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.
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