Spectral decomposition of path space in solvable lattice model

1995/07/31 by Tomoyuki Arakawa, Tomoki Nakanishi, Kazuyuki Oshima +1 · 4 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Quantum many-body systems #hep-th #math.QA #q-alg

paper · pdf · doi:10.1007/bf02101676

published as Commun.Math.Phys. 181 (1996) 157-182 · 27 pages, Plain Tex, epsf.tex, 7 figures; minor revision. identical with the version to be published in Commun.Math.Phys

arxiv created 1996/02/28 · openalex publication_date 1996/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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