Dressing the Giant Gluon

TL;DR

This paper applies the dressing method to generate new classical Euclidean worldsheet solutions in anti-de Sitter space, expanding the set of known solutions relevant for calculating Wilson loops in AdS/CFT correspondence.

Contribution

It introduces a novel application of the dressing method to construct complex solutions for Euclidean worldsheets in AdS, extending previous work on gluon scattering amplitudes.

Findings

Constructed new solutions in AdS_3 and AdS_5 with complex boundary curves.

Demonstrated the method's applicability to Wilson loop calculations.

Extended the class of known classical solutions in AdS space.

Abstract

We demonstrate the applicability of the dressing method to the problem of constructing new classical solutions for Euclidean worldsheets in anti-de Sitter space. The motivation stems from recent work of Alday and Maldacena, who studied gluon scattering amplitudes at strong coupling using a generalization of a particular worldsheet found by Kruczenski whose edge traces a path composed of light-light segments on the boundary of AdS. We dress this `giant gluon' to find new solutions in AdS_3 and AdS_5 whose edges trace out more complicated, timelike curves on the boundary. These solutions may be used to calculate certain Wilson loops via AdS/CFT.