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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 398, Pages 87–99 (Mi znsl5197)  
On quantum $L$-operator for two-dimensional lattice Toda model

A. G. Bytskoa, I. Yu. Davydenkovab

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
b Section of Mathematics, University of Geneva, Genève, Switzerland
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Abstract: The two-dimensional quantum lattice Toda model for the affine and simple Lie algebras of the type A is considered. For its known $L$-operator a correction of the second order in the lattice parameter $\varepsilon$ is found. It is proved that the equation determining a correction of the third order in $\varepsilon$ has no solutions.
Key words and phrases: quantum lattice Toda model, $R$-matrix, $L$-operator.
Received: 18.11.2011
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 192, Issue 1, Pages 50–56
DOI: https://doi.org/10.1007/s10958-013-1372-z
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. G. Bytsko, I. Yu. Davydenkova, “On quantum $L$-operator for two-dimensional lattice Toda model”, Questions of quantum field theory and statistical physics. Part 22, Zap. Nauchn. Sem. POMI, 398, POMI, St. Petersburg, 2012, 87–99; J. Math. Sci. (N. Y.), 192:1 (2013), 50–56
Citation in format AMSBIB
\Bibitem{BytDav12}
\by A.~G.~Bytsko, I.~Yu.~Davydenkova
\paper On quantum $L$-operator for two-dimensional lattice Toda model
\inbook Questions of quantum field theory and statistical physics. Part~22
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 398
\pages 87--99
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5197}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2944990}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 192
\issue 1
\pages 50--56
\crossref{https://doi.org/10.1007/s10958-013-1372-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884984862}
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