Dual conformal transformations of smooth holographic Wilson loops

TL;DR

This paper investigates how dual conformal transformations affect smooth holographic Wilson loops in AdS/CFT, revealing that such transformations alter boundary contours and regularized areas of minimal surfaces.

Contribution

It introduces a method to perform dual conformal transformations on minimal surfaces in AdS, showing how boundary contours and areas are modified.

Findings

Transformations map solutions to different boundary contours.

Boundary contours are not preserved at the AdS boundary.

Regularized areas of surfaces change under transformations.

Abstract

We study dual conformal transformations of minimal area surfaces in $AdS_5 \times S^5$ corresponding to holographic smooth Wilson loops and some other related observables. To act with dual conformal transformations we map the string solutions to the dual space by means of T-duality, then we apply a conformal transformation and finally T-dualize back to the original space. The transformation maps between string solutions with different boundary contours. The boundary contours of the minimal surfaces are not mapped back to the AdS boundary, and the regularized area of the surface changes.