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Quantum 't Hooft operators and S-duality in N=4 super Yang-Mills

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arxiv 0904.4486 v2 pith:VKNXPXJT submitted 2009-04-29 hep-th

Quantum 't Hooft operators and S-duality in N=4 super Yang-Mills

classification hep-th
keywords hooftloopcouplingoperatoroperatorss-dualitysuperyang-mills
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We provide a quantum path integral definition of an 't Hooft loop operator, which inserts a pointlike monopole in a four dimensional gauge theory. We explicitly compute the expectation value of the circular 't Hooft operators in N=4 super Yang-Mills with arbitrary gauge group G up to next to leading order in perturbation theory. We also compute in the strong coupling expansion the expectation value of the circular Wilson loop operators. The result of the computation of an 't Hooft loop operator in the weak coupling expansion exactly reproduces the strong coupling result of the conjectured dual Wilson loop operator under the action of S-duality. This paper demonstrates - for the first time - that correlation functions in N=4 super Yang-Mills admit the action of S-duality.

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