Yangians, Integrable Quantum Systems and Dorey's rule

TL;DR

This paper explores the structure of tensor products of fundamental Yangian representations, demonstrating that their fundamental quotients align with Dorey's rule, thereby linking algebraic representation theory with integrable quantum systems.

Contribution

It establishes a connection between tensor products of Yangian representations and Dorey's rule, providing new insights into the algebraic structure of integrable quantum models.

Findings

Fundamental quotients of tensor products follow Dorey's rule.

Yangian representation theory relates to integrable quantum systems.

New algebraic structures identified in the context of Yangians.

Abstract

We study tensor products of fundamental representations of Yangians and show that the fundamental quotients of such tensor products are given by Dorey's rule.