Spectral decomposition of path space in solvable lattice model |
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Authors: | Tomoyuki Arakawa Tomoki Nakanishi Kazuyuki Oshima Akihiro Tsuchiya |
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Institution: | (1) Department of Mathematics, Nagoya University, 464-01 Chikusa-ku, Nagoya, Japan |
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Abstract: | We give thespectral decomposition of the path space of the
vertex model with respect to the local energy functions. The result suggests the hidden Yangian module structure on the
levell integrable modules, which is consistent with the earlier work 1] in the level one case. Also we prove the fermionic character formula of the
levell integrable representations in consequence. |
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Keywords: | |
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