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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 291, Pages 251–262 (Mi znsl1661)  
This article is cited in 7 scientific papers (total in 7 papers)

On Bethe vectors for the $XXZ$ model at roots of unity

V. O. Tarasov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (202 kB) Citations (7)
Abstract: We give a construction of creation operators responsible for appearance of Bethe vectors with the same eigenvalues of the transfer-matrix for the inhomogeneous arbitrary spin $XXZ$ model at roots of unity with particular quasiperiodic boundary conditions. This construction generalizes the similar one, recently obtained by K. Fabricius and B. M. McCoy, for the homogeneous six-vertex model with periodic boundary conditions. Even in the last case, the given proof for the main formulas are simpler than the original one.
Received: 07.10.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 125, Issue 2, Pages 242–248
DOI: https://doi.org/10.1023/B:JOTH.0000049576.42200.77
Bibliographic databases:
UDC: 530.145
Language: Russian
Citation: V. O. Tarasov, “On Bethe vectors for the $XXZ$ model at roots of unity”, Questions of quantum field theory and statistical physics. Part 17, Zap. Nauchn. Sem. POMI, 291, POMI, St. Petersburg, 2002, 251–262; J. Math. Sci. (N. Y.), 125:2 (2005), 242–248
Citation in format AMSBIB
\Bibitem{Tar02}
\by V.~O.~Tarasov
\paper On Bethe vectors for the $XXZ$ model at roots of unity
\inbook Questions of quantum field theory and statistical physics. Part~17
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 291
\pages 251--262
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1661}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1948820}
\zmath{https://zbmath.org/?q=an:1130.82009}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 125
\issue 2
\pages 242--248
\crossref{https://doi.org/10.1023/B:JOTH.0000049576.42200.77}
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  • https://www.mathnet.ru/eng/znsl/v291/p251
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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