Supersymmetric open Wilson lines

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 onl...

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Bibliographic Details
Published in:The journal of high energy physics 2011-03, Vol.2011 (3), Article 140
Main Author: Baker, Edward B.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Conformal mapping
Elementary Particles
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Supersymmetry
Yang-Mills theory
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Summary: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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP03(2011)140