Open fishchain in N = 4 Supersymmetric Yang-Mills Theory

  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},
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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