Holographic operator product expansion of loop operators in the super Yang-Mills theory* *Supported in part by the National Natural Science Foundation of China (11975164, 11935009) and Natural Science Foundation of Tianjin (20JCYBJC00910, 20JCQNJC02030)

Abstract

In this study, we compute the correlation functions of Wilson(-'t Hooft) loops with chiral primary operators in the supersymmetric Yang-Mills theory with gauge symmetry, which has a holographic dual description of the Type IIB superstring theory on the background. Specifically, we compute the coefficients of the chiral primary operators in the operator product expansion of Wilson loops in the fundamental representation, Wilson-'t Hooft loops in the symmetric representation, Wilson loops in the anti-fundamental representation, and Wilson loops in the spinor representation. We also compare these results to those of the super Yang-Mills theory.