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.

arXiv comment49 pages, 14 figures, v2: references added, minor typos corrected

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• Separation of Variables in AdS/CFT: Functional Approach for the Fishnet CFT
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• 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