Fusion of RSOS Models as a Coset Construction

TL;DR

This paper demonstrates that fusion of RSOS models can be understood through a coset construction, reproducing spectra and S-matrices, and expressing correlation functions in terms of standard RSOS models.

Contribution

It introduces a novel interpretation of RSOS model fusion as a coset construction, linking it to conformal field theory methods.

Findings

Reproduces excitation spectrum and S-matrix of fusion RSOS models.

Shows correlation functions can be expressed via ordinary RSOS models.

Establishes a connection between fusion RSOS models and coset constructions.

Abstract

Using the vertex operator approach we show that fusion of the RSOS models can be considered as a kind of coset construction which is very similar to the coset construction of minimal models in conformal field theory. We reproduce the excitation spectrum and $S$-matrix of the fusion RSOS models in the regime III and show that their correlation functions and form factors can be expressed in terms of those of the ordinary (ABF) RSOS models.