TL;DR
This paper explores the connection between thermodynamic densities and quasi-particle spectra in RSOS models, providing proofs of state completeness and an algorithm for constructing conformal field theory branching functions.
Contribution
It introduces a novel method linking Bethe equations to conformal field theory structures and offers an algorithm for branching function construction in these models.
Findings
Proves state completeness in certain RSOS models.
Provides an algorithm for conformal field theory branching functions.
Discusses properties of $Z_n$ lattice models derived from Bethe equations.
Abstract
We outline the relationship between the thermodynamic densities and quasi-particle descriptions of spectra of RSOS models with an underlying Bethe equation. We use this to prove completeness of states in some cases and then give an algorithm for the construction of branching functions of their emergent conformal field theories. Starting from the Bethe equations of type, we discuss some aspects of the lattice models.
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