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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 181, Number 1, Pages 45–72
DOI: https://doi.org/10.4213/tmf8669 (Mi tmf8669) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Creation operators for the Fateev–Zamolodchikov spin chain

M. Jimboa, T. Miwab, F. A. Smirnovc

a Department of Mathematics, Rikkyo University, Toshima-ku, Tokyo, Japan
b Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto, Japan
c Sorbonne University, UPMC Univ Paris, CNRS, LPTHE, Paris, France
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DOI: https://doi.org/10.4213/tmf8669
Abstract: In previous works, we studied the problem of constructing a basis in the space of local operators for an anisotropic XXZ spin chain with spin $1/2$ such that the vacuum expectation values have a simple form. For this, we introduced fermionic creation operators. Here, we extend this construction to the spin-$1$ case. Using a certain version of the fusion procedure, we find two doublets of fermionic creation operators and one triplet of bosonic creation operators. We prove that the basis obtained by the action of these operators satisfies the dual reduced quantum Knizhnik–Zamolodchikov equation.
Keywords: exactly solvable model, Heisenberg magnet, correlation function.
Received: 27.02.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 181, Issue 1, Pages 1169–1193
DOI: https://doi.org/10.1007/s11232-014-0207-5
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. Jimbo, T. Miwa, F. A. Smirnov, “Creation operators for the Fateev–Zamolodchikov spin chain”, TMF, 181:1 (2014), 45–72; Theoret. and Math. Phys., 181:1 (2014), 1169–1193
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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