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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 117, Number 3, Pages 370–384
DOI: https://doi.org/10.4213/tmf939 (Mi tmf939) 		 
This article is cited in 55 scientific papers (total in 55 papers)

Functional tetrahedron equation

R. M. Kashaeva, I. G. Korepanovb, S. M. Sergeevc

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b South Ural State University
c Branch of the Institute of Nuclear Physics
Full-text PDF (243 kB) Citations (55)
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DOI: https://doi.org/10.4213/tmf939
Abstract: We describe a method for constructing classical integrable models in a $(2+1)$-dimensional discrete space–time based on the functional tetrahedron equation, an equation that makes the symmetries of a model obvious in a local form. We construct a very general “block-matrix model”, find its algebraic-geometric solutions, and study its various particular cases. We also present a remarkably simple quantization scheme for one of those cases.
Received: 28.02.1998
English version:
Theoretical and Mathematical Physics, 1998, Volume 117, Issue 3, Pages 1402–1413
DOI: https://doi.org/10.1007/BF02557179
Bibliographic databases:
Language: Russian
Citation: R. M. Kashaev, I. G. Korepanov, S. M. Sergeev, “Functional tetrahedron equation”, TMF, 117:3 (1998), 370–384; Theoret. and Math. Phys., 117:3 (1998), 1402–1413
Citation in format AMSBIB
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\by R.~M.~Kashaev, I.~G.~Korepanov, S.~M.~Sergeev
\paper Functional tetrahedron equation
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\yr 1998
\vol 117
\issue 3
\pages 370--384
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\crossref{https://doi.org/10.4213/tmf939}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1694046}
\zmath{https://zbmath.org/?q=an:0941.82018}
\transl
\jour Theoret. and Math. Phys.
\yr 1998
\vol 117
\issue 3
\pages 1402--1413
\crossref{https://doi.org/10.1007/BF02557179}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000079147900004}
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  • https://www.mathnet.ru/eng/tmf/v117/i3/p370
    • This publication is cited in the following 55 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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