The Operator Product Expansion for Wilson Loops and Surfaces in the Large N Limit

TL;DR

This paper investigates the operator product expansion for small Wilson loops in N=4 SYM and Wilson surfaces in 6D superconformal theory, calculating OPE coefficients via AdS/CFT and identifying UV divergences.

Contribution

It provides explicit calculations of OPE coefficients in the large N and strong coupling limit using AdS/CFT correspondence, and explores UV divergences in Wilson surfaces.

Findings

OPE coefficients computed for small Wilson loops in N=4 SYM

UV divergent terms include a rigid string action component

Analysis extends to Wilson surfaces in 6D superconformal theory

Abstract

The operator product expansion for ``small'' Wilson loops in {\cal N}=4, d=4 SYM is studied. The OPE coefficients are calculated in the large N and g_{YM}^2 N limit by exploiting the AdS/CFT correspondence. We also consider Wilson surfaces in the (0,2), d=6 superconformal theory. In this case, we find that the UV divergent terms include a term proportional to the rigid string action.