Holographic operator product expansion of loop operators in the super Yang-Mills theory*

Abstract

Abstract In this study, we compute the correlation functions of Wilson(-'t Hooft) loops with chiral primary operators in the <?CDATA $ \mathcal{N}=4 $?> supersymmetric Yang-Mills theory with <?CDATA $S O(N)$?> gauge symmetry, which has a holographic dual description of the Type IIB superstring theory on the <?CDATA $ AdS_{5}\times\mathbf{RP}^{5} $?> 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 <?CDATA $\mathcal{N}=4~ S U(N)$?> super Yang-Mills theory.

Locations

• arXiv (Cornell University) - View - PDF
• Chinese Physics C - View - PDF