Abstract
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.
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ArXiv ePrint: 1105.2568
Vasily Pestun On leave of absence from ITEP, Moscow, 117259, Russia.
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Gomis, J., Okuda, T. & Pestun, V. Exact results for ’t Hooft loops in Gauge theories on S 4 . J. High Energ. Phys. 2012, 141 (2012). https://doi.org/10.1007/JHEP05(2012)141
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DOI: https://doi.org/10.1007/JHEP05(2012)141