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Zap. Nauchn. Sem. 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

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.

UDC: 530.14+517.43

Received: 20.10.1992

Language: English


 English version:
Journal of Mathematical Sciences (New York), 1999, 94:4, 1581–1588

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© Steklov Math. Inst. of RAS, 2024