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.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- July 2021
- DOI:
- 10.1007/JHEP07(2021)127
- arXiv:
- arXiv:2101.01232
- Bibcode:
- 2021JHEP...07..127G
- Keywords:
-
- AdS-CFT Correspondence;
- Integrable Field Theories;
- High Energy Physics - Theory;
- Condensed Matter - Statistical Mechanics;
- Mathematical Physics;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- 49 pages, 14 figures, v2: references added, minor typos corrected