Open Fishchain in N=4 Supersymmetric Yang-Mills Theory

Abstract

We consider a cusped Wilson line with J insertions of scalar fields in N=4 SYM and prove that in a certain limit the Feynman graphs are integrable to all loop orders. We identify the integrable system as a quantum fishchain with open boundary conditions. The existence of the boundary degrees of freedom results in the boundary reflection operator acting non-trivially on the physical space. We derive the Baxter equation for Q-functions and provide the quantisation condition for the spectrum. This allows us to find the non-perturbative spectrum numerically.

49 pages, 14 figures, v2: references added, minor typos corrected

References in corpus (9)

• Bootstrap equations for $\mathcal{N}=4$ SYM with defects
• Small deformations of supersymmetric Wilson loops and open spin-chains
• Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory
• Structure Constants of Defect Changing Operators on the 1/2 BPS Wilson Loop
• Introduction to the Spectrum of N=4 SYM and the Quantum Spectral Curve
• Cusped SYM Wilson loop at two loops and beyond
• Separation of Variables in AdS/CFT: Functional Approach for the Fishnet CFT
• Exactly solvable single-trace four point correlators in $\chi$CFT${}_4$
• The One-Loop Spectral Problem of Strongly Twisted $\mathcal{N}$=4 Super Yang-Mills Theory

Cited by in corpus (9)

• Separation of Variables in AdS/CFT: Functional Approach for the Fishnet CFT
• Integrated correlators from integrability: Maldacena-Wilson line in $\mathcal{N}=4$ SYM
• Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: Chemical potentials and deformations
• Form-factors and complete basis of observables via separation of variables for higher rank spin chains
• Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds
• Correlation functions of determinant operators in conformal fishnet theory
• Perturbative bootstrap of the Wilson-line defect CFT: Bulk-defect-defect correlators
• A Large Twist Limit for Any Operator
• Holographic Wilson Loop One-point Functions in ABJM Theory