Open Spin Chains and Quadratic Algebras

TL;DR

This paper develops an algebraic framework for constructing commuting operators that serve as integrals of motion in open spin chains with boundary conditions and nearest neighbor interactions.

Contribution

It introduces a novel algebraic approach to generate integrals of motion for open spin chains with boundaries.

Findings

Provides a method to construct commuting operators for open spin chains.

Establishes a connection between quadratic algebras and integrable models.

Enhances understanding of boundary effects in spin chain integrability.

Abstract

Algebraic framework for construction of a commuting set of operators that can be interpreted as integrals of motion of the open spin chain with boundary conditions and nearest neighbour interaction is investigated.