Spectral Decomposition of Path Space in Solvable Lattice Model

Details Spectral Decomposition of Path Space in Solvable Lattice Model Spectral Decomposition of Path Space in Solvable Lattice Model

1995-07-24

arxiv.org/abs/q-alg/9507025v2

Commun.Math.Phys. 181 (1996) 157-182

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/BF02101676

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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