Integrability As Duality: The Gauge/YBE Correspondence
High Energy Physics - Theory
2020-03-31 v2 Statistical Mechanics
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The Gauge/YBE correspondence states a surprising connection between solutions to the Yang-Baxter equation with spectral parameters and partition functions of supersymmetric quiver gauge theories. This correspondence has lead to systematic discoveries of new integrable models based on quantum-field-theory methods. We provide pedagogical introduction to the subject and summarizes many recent developments. This is a write-up of the lecture at the String-Math 2018 conference.
Cite
@article{arxiv.1808.04374,
title = {Integrability As Duality: The Gauge/YBE Correspondence},
author = {Masahito Yamazaki},
journal= {arXiv preprint arXiv:1808.04374},
year = {2020}
}
Comments
37 pages, 18 figures, review article; v2: version to appear in Phys. Rept