Open Fishchain in N=4 Supersymmetric Yang-Mills Theory

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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
Original languageEnglish
Article number127
Pages (from-to)1-47
JournalJournal of High Energy Physics
Volume2021
Issue number7
Early online date19 Jul 2021
DOIs
Publication statusPublished - Jul 2021

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