Ladder Limit for Correlators of Wilson Loops

TL;DR

This paper investigates the correlator of concentric Wilson loops, revealing a ladder limit where resummation and string theory agree, and identifies a supersymmetric point allowing exact resummation at all couplings.

Contribution

It introduces a ladder limit via analytic continuation, demonstrating exact agreement between ladder resummation and string theory in strong coupling, and finds a supersymmetric point for exact resummation.

Findings

Ladder limit enables precise matching of resummation and string theory.

A critical value of internal space separation yields supersymmetry.

Exact resummation of ladder diagrams possible at the supersymmetric point.

Abstract

We study the correlator of concentric circular Wilson loops for arbitrary radii, spatial and internal space separations. For real values of the parameters specifying the dual string configuration, a typical Gross-Ooguri phase transition is observed. In addition, we explore some analytic continuation of a parameter $\gamma$ that characterizes the internal space separation. This enables a ladder limit in which ladder resummation and string theory computations precisely agree in the strong coupling limit. Finally, we find a critical value of $\gamma$ for which the correlator is supersymmetric and ladder diagrams can be exactly resummed for any value of the coupling constant.