Spectral Decomposition of Path Space in Solvable Lattice Model

Abstract

We give the {\it spectral decomposition} of the path space of the $U_q(\hatsl)$ vertex model with respect to the local energy functions. The result suggests the hidden Yangian module structure on the $\hatsl$ level $l$ integrable modules, which is consistent with the earlier work [1] in the level one case. Also we prove the fermionic character formula of the $\hatsl$ level $l$ integrable representations in consequence.

27 pages, Plain Tex, epsf.tex, 7 figures; minor revision. identical with the version to be published in Commun.Math.Phys

References in corpus (3)

• Spinons in Conformal Field Theory
• Spinon basis for higher level SU(2) WZW models
• Crystalizing the Spinon Basis

Cited by in corpus (10)

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• Exclusion statistics in conformal field theory and the UCPF for WZW models
• Characters for ${\widehat{sl(n)}}_{k=1}$ from a novel Thermodynamic Bethe Ansatz
• Skew Young diagram method in spectral decomposition of integrable lattice models II: Higher levels
• An integrable $U_q(\widehat{gl}(2|2){)}_1$-Model: Corner Transfer Matrices and Young Skew Diagrams
• Path representation of su(2)_k states II: Operator construction of the fermionic character and spin-1/2--RSOS factorization
• Path representation of su(2)_k states I: Operators and particles for k=1,2