Master Symmetry for Holographic Wilson Loops

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.

5 pages, 1 table, 1 figure, v2: plots added, slight rewriting v3: definition of deltahat below (28) corrected

References in corpus (3)

• Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
• Wilson loops and minimal area surfaces in hyperbolic space
• Construction of Lax Connections by Exponentiation

Cited by in corpus (7)

• Nonlocal Symmetries, Spectral Parameter and Minimal Surfaces in AdS/CFT
• Deformations of the circular Wilson loop and spectral (in)dependence
• $q$-Poincaré supersymmetry in $Ad{S}_5/CF{T}_4$
• $q$-Poincaré invariance of the $Ad{S}_3/CF{T}_2$ $R$-matrix
• Dual conformal transformations of smooth holographic Wilson loops
• Minimal area surfaces in AdS${}_3$ through integrability
• Wilson Loops and Integrability