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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 235, Pages 217–227 (Mi znsl3649)  
$Q$-Deformation of Virasoro algebra and lattice conformal theories

A. A. Belova, K. D. Chaltikianb

a Int. Inst. for Theory of Earthquakes Predictions and Mathematical Geophysics
b Landau Institute for Theoretical Physics
Full-text PDF (505 kB)
Abstract: A natural definition of the $q$-deformation of the Virasoro and superconformal algebras is suggesteded. New Liealgebraic symmetries describe a lattice version of the continual theory. A close link between the deformation constructed in this paper and the lattice version of the Faddeev–Takhtadjian–Volkov Virasaro algebra is shown. Bibl. 18 titles.
Received: 20.10.1992
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 94, Issue 4, Pages 1581–1588
DOI: https://doi.org/10.1007/BF02365204
Bibliographic databases:
Document Type: Article
UDC: 530.14+517.43
Language: English
Citation: A. A. Belov, K. D. Chaltikian, “$Q$-Deformation of Virasoro algebra and lattice conformal theories”, Differential geometry, Lie groups and mechanics. Part 15–2, Zap. Nauchn. Sem. POMI, 235, POMI, St. Petersburg, 1996, 217–227; J. Math. Sci. (New York), 94:4 (1999), 1581–1588
Citation in format AMSBIB
\Bibitem{BelCha96}
\by A.~A.~Belov, K.~D.~Chaltikian
\paper $Q$-Deformation of Virasoro algebra and lattice conformal theories
\inbook Differential geometry, Lie groups and mechanics. Part~15--2
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 235
\pages 217--227
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3649}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1856097}
\zmath{https://zbmath.org/?q=an:1006.17013}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 94
\issue 4
\pages 1581--1588
\crossref{https://doi.org/10.1007/BF02365204}
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