Multi-point Local Height Probabilities in the Integrable RSOS Model

TL;DR

This paper derives an integral representation for multi-point local height probabilities in the integrable RSOS model using bosonization, highlighting the role of deformed Virasoro algebra as the model's dynamical symmetry.

Contribution

It introduces a novel integral representation for multi-point probabilities in the RSOS model and links the model's symmetry to the deformed Virasoro algebra.

Findings

Integral representation for multi-point local height probabilities derived

Dynamical symmetry identified as deformed Virasoro algebra

Applicable to the Andrews-Baxter-Forrester model in regime III

Abstract

By using the bosonization technique, we derive an integral representation for multi-point Local Hight Probabilities for the Andrews-Baxter-Forrester model in the regime III. We argue that the dynamical symmetry of the model is provided by the deformed Virasoro algebra.