Semiclassical correlation functions of Wilson loops and local vertex operators

TL;DR

This paper studies the strong-coupling behavior of correlation functions involving Wilson loops and local operators in AdS/CFT, using semiclassical methods to evaluate specific configurations with light string states.

Contribution

It provides a semiclassical framework for calculating correlation functions of Wilson loops and local operators, focusing on cases with light string states and specific geometric configurations.

Findings

Correlation functions can be approximated semiclassically at strong coupling.

Explicit evaluation for chiral primary and massive scalar operators.

Analysis of concentric Wilson loop surfaces in the semiclassical regime.

Abstract

We analyze correlation functions of Wilson loop observables and local vertex operators within the strong-coupling regime of the AdS/CFT correspondence. When the local operator corresponds to a light string state with finite conserved charges the correlation function can be evaluated in the semiclassical approximation of large string tension, where the contribution from the light vertex can be neglected. We consider the cases where the Wilson loops are described by two concentric surfaces and the local vertices are the superconformal chiral primary scalar or a singlet massive scalar operator.