Integrable multiparametric quantum spin chains

TL;DR

This paper develops a formalism for constructing multiparametric quantum spin chains using Reshetikhin's approach, showing their relation to twisted boundary conditions and applying it to supersymmetric t-J and U models.

Contribution

It introduces a new multiparametric construction method for quantum spin chains and demonstrates its application to important models like t-J and U models.

Findings

Multiparametric quantum spin chains can be derived from Reshetikhin's construction.

Certain models can be mapped to chains with twisted boundary conditions.

The formalism applies to supersymmetric t-J and U models.

Abstract

Using Reshetikhin's construction for multiparametric quantum algebras we obtain the associated multiparametric quantum spin chains. We show that under certain restrictions these models can be mapped to quantum spin chains with twisted boundary conditions. We illustrate how this general formalism applies to construct multiparametric versions of the supersymmetric t-J and U models.