Fermi-gas interpretation of the RSOS path representation of the superconformal unitary minimal models

TL;DR

This paper introduces a novel fermionic character formula for superconformal minimal models by interpreting RSOS paths as fermi-gas systems, extending previous methods from Virasoro models to supersymmetric cases.

Contribution

It extends the fermi-gas interpretation method to superconformal models, providing new finitized fermionic characters and a path-to-particle identification scheme.

Findings

Derived new finitized fermionic characters for superconformal models

Extended Warnaar's method from Virasoro to superconformal cases

Identified fermi-type particles via path peaks

Abstract

We derive new finitized fermionic characters for the superconformal unitary minimal models by interpreting the RSOS configuration sums as fermi-gas partition functions. This extends to the supersymmetric case the method introduced by Warnaar for the Virasoro unitary mimimal models. The key point in this construction is the proper identification of fermi-type charged particles in terms of the path's peaks. For this, an instrumental preliminary step is the adaptation to the superconformal case of the operator description of the usual RSOS paths introduced recently.