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

DOI10.1007/S00220-012-1485-0zbMATH Open1257.81056arXiv0712.2824OpenAlexW3103109706MaRDI QIDQ443881

Publication date: 13 August 2012

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/0712.2824

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25)

Cites Work

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