# 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} }

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

## 4 Citations

### Integrated correlators from integrability: Maldacena-Wilson line in $\mathcal{N}=4$ SYM

- Physics, Mathematics
- 2022

: We present a systematic method for the derivation of a relation which connects the correlation function of operators on the straight Maldacena-Wilson line with the integrability data for the cusp…

### Form-factors and complete basis of observables via separation of variables for higher rank spin chains

- Materials ScienceJournal of High Energy Physics
- 2022

Integrable sl\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek}…

### Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: chemical potentials and deformations

- Mathematics, PhysicsJournal of High Energy Physics
- 2022

Abstract
We describe how to calculate the Hagedorn temperature of $$ \mathcal{N} $$
N
= 4 SYM theory and type IIB superstring theory on AdS5 × S5 via the Quantum Spectral Curve (QSC) — providing…

### Separation of variables in AdS/CFT: functional approach for the fishnet CFT

- Mathematics
- 2021

The major simplification in a number of quantum integrable systems is the existence of special coordinates in which the eigenstates take a factorised form. Despite many years of studies, the basis…

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