# Open fishchain in N = 4 Supersymmetric Yang-Mills Theory

@article{Gromov2021OpenFI,
title={Open fishchain in N = 4 Supersymmetric Yang-Mills Theory},
author={Nikolay Gromov and Julius Julius and Nicolo Primi},
journal={Journal of High Energy Physics},
year={2021}
}
• Published 4 January 2021
• Mathematics, Physics
• Journal of High Energy Physics
Abstract We consider a cusped Wilson line with J insertions of scalar fields in $$\mathcal{N}$$ 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…
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