Dressed Wilson Loops on S^2

TL;DR

This paper introduces a new family of string solutions holographically dual to specific 1/8-BPS Wilson loops on S^2 in N=4 SYM, constructed via the dressing method on known solutions, with verified regularized areas.

Contribution

It presents a novel two-parameter family of string solutions for Wilson loops in N=4 SYM, extending the known solutions using the dressing method on the sigma-model.

Findings

Constructed explicit string solutions for Wilson loops on S^2.

Verified the regularized areas match theoretical expectations.

Extended the known solution space for holographic Wilson loops.

Abstract

We present a new, two-parameter family of string solutions corresponding to the holographic duals of specific 1/8-BPS Wilson loops on S^2 in N = 4 supersymmetric Yang-Mills theory. The solutions are obtained using the dressing method on the known longitude solution in the context of the auxiliary sigma-model on S^3 put forth in arXiv:0905.0665[hep-th]. We verify that the regularized area of the worldsheets are consistent with expectations.