A-D-E POLYNOMIAL AND ROGERS-RAMANUJAN IDENTITIES

DOI10.1142/S0217751X96000146zbMath1044.82540arXivhep-th/9411009MaRDI QIDQ2775542

Paul A. Pearce, S. Ole Warnaar

Publication date: 26 February 2002

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9411009

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Virasoro and related algebras (17B68) Exactly solvable models; Bethe ansatz (82B23) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

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Polynomial fermionic forms for the branching functions of the rational coset conformal field theories \(\widehat{su}(2)_M\times\widehat{su}(2)_N/\widehat{su}(2)_{M+N}\) ⋮ Multinomials and polynomial bosonic forms for the branching functions of the \(\widehat{su}(2)_{M}\times \widehat{su}(2)_{N}/\widehat{su}(2)_{M+N}\) conformal coset models ⋮ Continued fractions and fermionic representations for characters of \(M(p,p')\) minimal models ⋮ Polynomial identities, indices, and duality for the \(N=1\) superconformal model \(SM(2,4\nu)\). ⋮ Fermionic solution of the Andrews-Baxter-Forrester model. II: Proof of Melzer's polynomial identities. ⋮ Universal amplitude ratios and Coxeter geometry in the dilute \(A_L\) model

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