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Spectral Decomposition of Path Space in Solvable Lattice Model

Tomoyuki Arakawa·Tomoki Nakanishi·Kazuyuki Oshima·Akihiro Tsuchiya
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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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Tomoyuki Arakawa, Tomoki Nakanishi, Kazuyuki Oshima, Akihiro Tsuchiya. 1996-02-28. Spectral Decomposition of Path Space in Solvable Lattice Model. https://doi.org/10.1007/bf02101676

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