Master Symmetry for Holographic Wilson Loops

TL;DR

This paper uncovers a master symmetry in holographic Wilson loops within AdS/CFT, linking spectral transformations to Yangian charges and suggesting extensions to arbitrary coupling regimes.

Contribution

It identifies a new nonlocal symmetry underlying spectral transformations of holographic Wilson loops and connects it to Yangian algebra structures.

Findings

The symmetry acts as a raising operator on classical Yangian charges.

Explicit demonstration of the symmetry's action on strong-coupling Wilson loops.

Indications of possible extension to arbitrary coupling regimes.

Abstract

We identify the symmetry underlying the recently observed spectral-parameter transformations of holographic Wilson loops alias minimal surfaces in AdS/CFT. The generator of this nonlocal symmetry is shown to furnish a raising operator on the classical Yangian-type charges of symmetric coset models. We explicitly demonstrate how this master symmetry acts on strong-coupling Wilson loops and indicate a possible extension to arbitrary coupling.