Holographic Operator Product Expansion of Loop Operators in $\mathcal{N}=4$ $SO(N)$ Super Yang-Mills Theory

Abstract In this paper, we compute the correlation functions of Wilson(-'t~Hooft) loops with chiral primary operators in $\mathcal{N}=4$ supersymmetric Yang-Mills theory $SO(N)$ gauge symmetry, which has a holographic dual description Type IIB superstring on $AdS_{5}\times\mathbf{RP}^{5}$ background.Content from work may be used under terms Creative Commons Attribution 3.0 licence. Any further distribution must maintain attribution to author(s) and title work, journal citation DOI. Article funded by SCOAP3 published licence Chinese Physical Society Institute High Energy Physics Academy Science Modern Sciences IOP Publishing Ltd.
Specifically, coefficients operator product expansion Wilson fundamental representation, Wilson-'t Hooft symmetric anti-fundamental representation spinor representation. We also compare these results $SU(N)$ super theory.