Open fishchain in N = 4 Supersymmetric Yang-Mills Theory

Abstract

Abstract We consider a cusped Wilson line with J insertions of scalar fields in N $$ \mathcal{N} $$ = 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.

Keywords

• AdS-CFT Correspondence
• Integrable Field Theories