Exceptional structure of the dilute A3model: E8and E7Rogers-Ramanujan identities

DOI10.1088/0305-4470/27/23/005zbMath0840.17027arXivhep-th/9408136OpenAlexW3100147180MaRDI QIDQ4874833

S. Ole Warnaar, Paul A. Pearce

Publication date: 9 July 1996

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9408136

zbMATH Keywords

thermodynamic limitIsing modelRogers-Ramanujan identity\(E_ 8\) structuredilute \(A_ 3\) lattice model

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Exactly solvable models; Bethe ansatz (82B23) Miscellaneous applications of number theory (11Z05) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (13)

The diluteA_Lmodels and the Φ_1,2perturbation of unitary minimal CFTs ⋮ 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 ⋮ Single particle excitations in the lattice \(E_ 8\) Ising model. ⋮ q -Trinomial identities ⋮ Correlation lengths and \(E_8\) mass spectrum of the dilute \(A_3\) lattice model ⋮ Anyonic interpretation of Virasoro characters and the thermodynamic Bethe ansatz ⋮ Critical behaviour of the dilute \(O(n)\), Izergin-Korepin and dilute \(A_L\) face models: Bulk properties ⋮ Fermionic solution of the Andrews-Baxter-Forrester model. I: Unification of TBA and CTM methods. ⋮ 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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