Crystalline Spinon Basis for RSOS Models

Abstract

The crystalline spinon basis for the RSOS models associated with $\widehat{s{l}_2}$ is studied. This basis gives fermionic type character formulas for the branching coefficients of the coset $(\widehat{s{l}_2}{)}_l\times (\widehat{s{l}_2}{)}_N/(\widehat{s{l}_2}{)}_{l+N}$. In addition the path description of the parafermion characters is found as a limit of the spinon description of the string functions.

16 pages, latex, no figures, Comments are added in the discussion section. Some references are added

References in corpus (9)

• Dilogarithm identities
• Diagonalization of the XXZ Hamiltonian by Vertex Operators
• Fermionic counting of RSOS-states and Virasoro character formulas for the unitary minimal series M(ν,ν+1). Exact results
• Spinon Bases, Yangian Symmetry and Fermionic Representations of Virasoro Characters in Conformal Field Theory
• Quantum affine symmetry in vertex models
• Characters in Conformal Field Theories from Thermodynamic Bethe Ansatz
• Virasoro character identities from the Andrews--Bailey construction
• Crystalizing the Spinon Basis
• The sums of Rogers, Schur and Ramanujan and the Bose-Fermi correspondence in $1+1$-dimensional quantum field theory

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• A Matrix Model for WZW
• Conjugate Bailey pairs
• A proof of polynomial identities of type $\widehat{sl(n{)}_1}\otimes \widehat{sl(n{)}_1}/\widehat{sl(n{)}_2}$
• Integrable and Conformal Boundary Conditions for Z_k Parafermions on a Cylinder
• Vertex Models with Alternating Spins