Dissertation/Thesis Abstract

Wilson loops in supersymmetric gauge theories
by Pestun, Vasily, Ph.D., Princeton University, 2008, 162; 3324315
Abstract (Summary)

This thesis is devoted to several exact computations in four-dimensional supersymmetric gauge field theories.

In the first part of the thesis we prove conjecture due to Erickson-Semenoff-Zarembo and Drukker-Gross which relates supersymmetric circular Wilson loop operators in the N = 4 supersymmetric Yang-Mills theory with a Gaussian matrix model. We also compute the partition function and give a new matrix model formula for the expectation value of a supersymmetric circular Wilson loop operator for the pure N = 2 and the N* = 2 supersymmetric Yang-Mills theory on a four-sphere. Circular supersymmetric Wilson loops in four-dimensional N = 2 superconformal gauge theory are treated similarly.

In the second part we consider supersymmetric Wilson loops of arbitrary shape restricted to a two-dimensional sphere in the four-dimensional N = 4 supersymmetric Yang-Mills theory. We show that expectation value for these Wilson loops can be exactly computed using a two-dimensional theory closely related to the topological two-dimensional Higgs-Yang-Mills theory, or two-dimensional Yang-Mills theory for the complexified gauge group.

Indexing (document details)
Advisor: Witten, Edward
School: Princeton University
School Location: United States -- New Jersey
Source: DAI-B 69/08, Dissertation Abstracts International
Subjects: Theoretical physics
Keywords: Gauge theories, Supersymmetry, Wilson loops, Yang-Mills theory
Publication Number: 3324315
ISBN: 9780549765790
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