• DOI:10.1007/JHEP07(2021)127
• Corpus ID: 230523825

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},
  volume={2021}
}

• N. Gromov, Julius Julius, Nicolo Primi
• Published 4 January 2021
• Mathematics, Physics
• Journal of High Energy Physics

We consider a cusped Wilson line with J insertions of scalar fields in N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = 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.