Correlator of Fundamental and Anti-symmetric Wilson Loops in AdS/CFT Correspondence

TL;DR

This paper investigates the correlator of Wilson loops in different representations within N=4 super Yang-Mills theory, using AdS/CFT duality to analyze phase transitions and limiting behaviors.

Contribution

It provides a detailed holographic calculation of the correlator involving a D5-brane and a fundamental string, elucidating the Gross-Ooguri transition.

Findings

Identified the holographic dual system of D5-brane and fundamental string.

Calculated the on-shell action and characterized the Gross-Ooguri transition.

Explored limiting cases of the Wilson loop correlator.

Abstract

We study the two circular Wilson loop correlator in which one is of anti-symmetric representation, while the other is of fundamental representation in 4-dimensional ${\cal N}=4$ super Yang-Mills theory. This correlator has a good AdS dual, which is a system of a D5-brane and a fundamental string. We calculated the on-shell action of the string, and clarified the Gross-Ooguri transition in this correlator. Some limiting cases are also examined.