dorsal/arxiv
View SchemaSpectral Decomposition of Path Space in Solvable Lattice Model
| Authors | Tomoyuki Arakawa, Tomoki Nakanishi, Kazuyuki Oshima, Akihiro Tsuchiya |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9507025 |
| URL | https://arxiv.org/abs/q-alg/9507025 |
| DOI | 10.1007/BF02101676 |
| Journal | Commun.Math.Phys. 181 (1996) 157-182 |
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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"abstract": "We give the {\\it spectral decomposition} of the path space of the\n$U_q(\\hatsl)$ vertex model with respect to the local energy functions. The\nresult suggests the hidden Yangian module structure on the $\\hatsl$ level $l$\nintegrable modules, which is consistent with the earlier work [1] in the level\none case. Also we prove the fermionic character formula of the $\\hatsl$ level\n$l$ integrable representations in consequence.",
"arxiv_id": "q-alg/9507025",
"authors": [
"Tomoyuki Arakawa",
"Tomoki Nakanishi",
"Kazuyuki Oshima",
"Akihiro Tsuchiya"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1007/BF02101676",
"journal_ref": "Commun.Math.Phys. 181 (1996) 157-182",
"title": "Spectral Decomposition of Path Space in Solvable Lattice Model",
"url": "https://arxiv.org/abs/q-alg/9507025"
},
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