Integrability from supersymmetric duality: a short review
High Energy Physics - Theory
2022-01-04 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
Integrable models of statistical mechanics play a prominent role in modern mathematical physics, especially in conformal field theory, knot theory, combinatorics, topology, etc. In this brief review, we discuss a program of constructing integrable lattice spin models with the nearest neighbor interaction using methods inspired by the supersymmetric gauge theory computations, called gauge/YBE correspondence. After a brief introduction to the topic, we review some recent examples of this correspondence and the role of special functions and symmetries. Finally, we discuss future directions of research.
Cite
@article{arxiv.2201.00351,
title = {Integrability from supersymmetric duality: a short review},
author = {Ilmar Gahramanov},
journal= {arXiv preprint arXiv:2201.00351},
year = {2022}
}
Comments
18 pages