Minimal Surfaces of the $AdS_5\times S^5$ Superstring and the Symmetries of Super Wilson Loops at Strong Coupling

TL;DR

This paper extends the holographic principle to superspace, describing super Wilson loops at strong coupling via minimal surfaces in $AdS_5 imes S^5$, and derives associated symmetry identities using integrability.

Contribution

It introduces a superstring-based holographic description of super Wilson loops and derives their symmetry constraints at strong coupling.

Findings

Derived superconformal and Yangian Ward identities for super Wilson loops.

Computed minimal surface solutions up to third order near the boundary.

Extended strong coupling results to supersymmetric Wilson loops.

Abstract

Based on an extension of the holographic principle to superspace, we provide a strong-coupling description of smooth super Wilson loops in terms of minimal surfaces of the $AdS_5 \times S^5$ superstring. We employ the classical integrability of the Green-Schwarz superstring on $AdS_5 \times S^5$ to derive the superconformal and Yangian $Y[\mathfrak{psu}(2,2|4)]$ Ward identities for the super Wilson loop, thus extending the strong coupling results obtained for the Maldacena-Wilson loop. In the course of the derivation, we determine the minimal surface solution up to third order in an expansion close to the conformal boundary.