On a New Class of Integrable Models

TL;DR

This paper introduces a new class of integrable vertex models linked to quantum groups at roots of unity, expanding the landscape of exactly solvable models in mathematical physics.

Contribution

It defines a novel class of integrable models associated with quantum groups at roots of unity, providing new tools for studying integrable systems.

Findings

Established the mathematical framework for the new models

Derived explicit solutions for specific cases

Highlighted potential applications in quantum physics

Abstract

We define a new class of integrable vertex models associated to quantum groups at roots of unit