Semi-classical open string corrections and symmetric Wilson loops

TL;DR

This paper investigates semi-classical open string corrections in the AdS/CFT framework to differentiate symmetric Wilson loops from multiply wound loops, confirming results with matrix model calculations.

Contribution

It provides a semi-classical analysis of disk open strings attached to D3-branes, deriving corrections that distinguish Wilson loop representations in N=4 super Yang-Mills theory.

Findings

Derived the exponential correction term for symmetric Wilson loops

Confirmed the correction matches matrix model results

Enhanced understanding of open string contributions in AdS/CFT

Abstract

In the AdS/CFT correspondence, an AdS_2 x S^2 D3-brane with electric flux in AdS_5 x S^5 spacetime corresponds to a circular Wilson loop in the symmetric representation or a multiply wound one in N=4 super Yang-Mills theory. In order to distinguish the symmetric loop and the multiply wound loop, one should see an exponentially small correction in large 't Hooft coupling. We study semi-classically the disk open string attached to the D3-brane. We obtain the exponent of the term and it agrees with the result of the matrix model calculation of the symmetric Wilson loop.