Localization of gauge theory on a four-sphere and supersymmetric Wilson loops

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Pestun, Vasily
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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. A four-dimensional N=2 superconformal gauge theory is treated similarly.
Comment: 63 pages, 1 figure; v2: correction of mass parameter; v3: typos corrected
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High Energy Physics - Theory
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