2007/12/31 by Vasily Pestun · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/s00220-012-1485-0
published as Commun.Math.Phys. 313 (2012) 71-129 · 63 pages, 1 figure; v2: correction of mass parameter; v3: typos corrected
arxiv created 2012/09/20 · arxiv updated 2012/09/21
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.