Exact results for ’t Hooft loops in Gauge theories on S 4

• Published in: Journal of High Energy Physics
• Main Authors: Gomis, Jaume, Okuda, Takuya, Pestun, Vasily
• Format: Article in Journal/Newspaper
• Language: English
• Published: Springer Science and Business Media LLC 2012
• Subjects: Nuclear and High Energy Physics; North Pole; South Pole; South pole
• Online Access: http://dx.doi.org/10.1007/jhep05(2012)141; https://link.springer.com/content/pdf/10.1007/JHEP05(2012)141.pdf; https://link.springer.com/article/10.1007/JHEP05(2012)141/fulltext.html; http://link.springer.com/content/pdf/10.1007/JHEP05(2012)141

A bstract The path integral of a general $\mathcal{N} = 2$ supersymmetric gauge theory on S 4 is exactly evaluated in the presence of a supersymmetric ’t Hooft loop operator. The result we find — obtained using localization techniques — captures all perturbative quantum corrections as well as non-perturbative effects due to instantons and monopoles, which are supported at the north pole, south pole and equator of S 4 . As a by-product, our gauge theory calculations successfully confirm the predictions made for ’t Hooft loops obtained from the calculation of topological defect correlators in Liouville/Toda conformal field theory.