TL;DR
This paper develops the geometric framework for calculating the Operator Product Expansion of Wilson-'t Hooft operators in N=4 super-Yang-Mills theory with gauge group PSU(3), verifying results via S-duality.
Contribution
It introduces the geometric structures and vector bundles needed to compute the OPE of Wilson-'t Hooft operators in a specific gauge theory, advancing understanding of their interactions.
Findings
Derived the geometry of moduli spaces of BPS configurations with 't Hooft operators
Constructed vector bundles representing electric degrees of freedom in dyonic operators
Verified the OPE results through S-duality predictions
Abstract
We find the basic ingredients required to compute the Operator Product Expansion of Wilson-'t Hooft operators in N=4 super-Yang-Mills theory with gauge group G=PSU(3). These include the geometry of certain moduli spaces of BPS configurations in the presence of 't Hooft operators and vector bundles over them. The bundles arise in computing the OPE due to electric degrees of freedom in dyonic operators. We verify our results by reproducing the OPE of 't Hooft operators predicted by S-duality.
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