Open fishchain in N = 4 Supersymmetric YangMills 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 nontrivially on the physical space. We derive the Baxter equation for Qfunctions and provide the quantisation condition for the spectrum. This allows us to find the nonperturbative spectrum numerically.
 Publication:

Journal of High Energy Physics
 Pub Date:
 July 2021
 DOI:
 10.1007/JHEP07(2021)127
 arXiv:
 arXiv:2101.01232
 Bibcode:
 2021JHEP...07..127G
 Keywords:

 AdSCFT Correspondence;
 Integrable Field Theories;
 High Energy Physics  Theory;
 Condensed Matter  Statistical Mechanics;
 Mathematical Physics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 49 pages, 14 figures, v2: references added, minor typos corrected