Integrable lattice spin models from supersymmetric dualities
Mathematical Physics
2018-12-05 v1 Statistical Mechanics
High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
Recently, there has been observed an interesting correspondence between supersymmetric quiver gauge theories with four supercharges and integrable lattice models of statistical mechanics such that the two-dimensional spin lattice is the quiver diagram, the partition function of the lattice model is the partition function of the gauge theory and the Yang-Baxter equation expresses the identity of partition functions for dual pairs. This correspondence is a powerful tool which enables us to generate new integrable models. The aim of the present paper is to give a short account on a progress in integrable lattice models which has been made due to the relationship with supersymmetric gauge theories.
Cite
@article{arxiv.1712.09651,
title = {Integrable lattice spin models from supersymmetric dualities},
author = {Ilmar Gahramanov and Shahriyar Jafarzade},
journal= {arXiv preprint arXiv:1712.09651},
year = {2018}
}
Comments
35 pages, preliminary version