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

2008/05/31 by P. Jacob, Pierre Mathieu, P. Mathieu · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Physics of Superconductivity and Magnetism #hep-th #math-ph #math.MP

paper · pdf · doi:10.1016/j.nuclphysb.2008.07.004

published as Nucl.Phys.B805:517-544,2008 · 29 pages, minor corrections, one reference added; version to appear in Nucl.Phys.B

openalex publication_date 2008/07/11 · arxiv created 2008/08/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Polynomial fermionic forms for the branching functions of the rational coset conformal field theories
• Fermionic solution of the Andrews-Baxter-Forrester model. II. Proof of Melzer's polynomial identities

Cited by

• Path representation of suˆ(2)k states I: Operators and particles for k=1,2