New series of integrable vertex models through a unifying approach

TL;DR

This paper introduces a new class of integrable vertex models using a unifying Lax operator approach, providing exact solutions and exploring hybrid models across various quantum algebra regimes.

Contribution

It presents a novel unifying framework for integrable vertex models based on quantum algebra, including hybrid models and exact solutions via algebraic Bethe ansatz.

Findings

New integrable vertex models based on quantum algebra are proposed.

Exact solutions are obtained through algebraic Bethe ansatz.

Hybrid vertex models are introduced as a novel concept.

Abstract

Applying a unifying Lax operator approach to statistical systems a new class of integrable vertex models based on quantum algebra is proposed, which exhibits a rich variety for generic q, q roots of unity and q -> 1. Exact solutions are formulated through algebraic Bethe ansatz and a novel possibility of hybrid vertex models is introduced.