Long Range Interaction Models and Yangian Symmetry

TL;DR

This paper explores the formulation of long-range interaction models with internal spins using Yangian symmetry, employing the Polychronakos approach and RTT relations, and introduces reflection algebra to these models.

Contribution

It presents a unified formulation of generalized Sutherland-Romer and Yan models with internal spins via Yangian symmetry and extends them with reflection algebra.

Findings

Yangian symmetry generates the models

Models are formulated using RTT relations

Reflection algebra is incorporated into the models

Abstract

The generalized Sutherland-Romer models and Yan models with internal spin degrees are formulated in terms of the Polychronakos' approach and RTT relation associated to the Yang-Baxter equation in consistent way. The Yangian symmetry is shown to generate both models. We finally introduce the reflection algebra K(u) to the long range models.