A Semiclassical String Description of Wilson Loop with Local Operators

TL;DR

This paper develops a semiclassical string theory approach to analyze circular Wilson loops with local operator insertions in the AdS/CFT framework, providing new evidence for the correspondence.

Contribution

It introduces a semiclassical string description for Wilson loops with local operators, including fluctuation analysis and dual operator identification.

Findings

Quadratic actions for fluctuations are computed.

Dual operators for fluctuations are identified.

Supports the validity of AdS/CFT correspondence.

Abstract

We discuss a semiclassical string description to circular Wilson loops without/with local operator insertions. By considering a semiclassical approximation of type IIB string theory on AdS_5 X S^5 around the corresponding classical solutions, quadratic actions with respect to fluctuations are computed. Then the dual corresponding operators describing the fluctuations are discussed from the point of view of a small deformation of the Wilson loops. The result gives new evidence for AdS/CFT correspondence.