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Prog. Theor. Phys. Vol. 89 No. 2 (1993) pp. 531-544

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Realizations of q-Deformed Virasoro Algebra

Harutada Sato

Department of Physics, Hiroshima University, Higashi-Hiroshima 724

(Received September 24, 1992)

Abstract:

We investigate the q-deformed Virasoro algebra presented by Curtright and Zachos. After showing some new results on the central extension and the operator product expansion, we discuss the relation between the q-deformed Virasoro algebra and the Volterra Poisson bracket algebra. The realization in terms of an inifinite set of oscillators is also discussed from the viewpoint of a deformation of the Poisson bracket.


URL : http://ptp.ipap.jp/link?PTP/89/531/
DOI : 10.1143/PTP.89.531

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