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Localization of Gauge Theory on a Four-Sphere and Supersymmetric Wilson Loops

2012; Springer Science+Business Media; Volume: 313; Issue: 1 Linguagem: Inglês

10.1007/s00220-012-1485-0

1432-0916

Vasily Pestun,

Algebraic structures and combinatorial models

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.