Holography of Wilson-Loop Expectation Values with Local Operator Insertions

TL;DR

This paper investigates the holographic computation of Wilson-loop expectation values with local operator insertions in AdS/CFT, constructing classical string solutions and emphasizing the importance of a tunneling interpretation in Euclidean space.

Contribution

It introduces a semi-classical tunneling framework for holographic Wilson loops with local insertions, extending previous methods to finite positions and large R-charge operators.

Findings

Constructed classical string solutions for deformed Wilson loops with insertions.

Highlighted the necessity of Euclideanized AdS and SYM for finite insertion positions.

Proposed a tunneling interpretation for holographic correlator computations.

Abstract

We study the expectation values of Wilson-loop operators with the insertionsof local operators Z^J and Zbar^J with large R-charge J from the bulk viewpoint of AdS/CFT correspondence. Classical solutions of strings attached to such deformed Wilson loops at the conformal boundary are constructed and are applied to the computation of Wilson-loop expectation values. We argue that in order to have such solutions for general insertions at finite positions in the base spacetime of the gauge theory, it is crucial to interpret the holographic correspondence in the semi-classical picture as a tunneling phenomenon, as has been previously established for holographic computations of correlators of BMN operators. This also requires to use the Euclideanized AdS background and Euclidean super Yang-Mills theory.