Geodesic
Creation operators for the~Fateev--Zamolodchikov spin chain
Teoretičeskaâ i matematičeskaâ fizika, Tome 181 (2014) no. 1, pp. 45-72

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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. 
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     author = {M. Jimbo and T. Miwa and F. A. Smirnov},
     title = {Creation operators for {the~Fateev--Zamolodchikov} spin chain},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2014_181_1_a3/}
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M. Jimbo; T. Miwa; F. A. Smirnov. Creation operators for the~Fateev--Zamolodchikov spin chain. Teoretičeskaâ i matematičeskaâ fizika, Tome 181 (2014) no. 1, pp. 45-72. http://geodesic.mathdoc.fr/item/TMF_2014_181_1_a3/