Structure of the space of states in RSOS models

TL;DR

This paper explores the structure of the state space in RSOS models within the quantum affine algebra framework, defining operators and their relations to understand the model's underlying algebraic structure.

Contribution

It provides a representation theoretical analysis of RSOS models, introducing local and quasi-particle operators and their commutation relations.

Findings

Representation theoretical description of the state space

Explicit construction of local and quasi-particle operators

Calculation of their commutation relations

Abstract

The restricted solid-on-solid models in the anti-ferromagnetic regime is studied in the framework of quantum affine algebras. Following the line developed recently for vertex models, a representation theoretical picture is presented for the structure of the space of states. The local operators and the creation/annihilation operators of quasi-particles are defined using vertex operators, and their commutation relations are calculated.