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Prog. Theor. Phys. Vol. 89 No. 2 (1993) pp. 531-544
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
References:
- V. G. Drinfeld, Sov. Math. Dokl. 32 (1985), 254; Quantum Groups, Proc. of ICM (Berkeley, 1986), p. 798.
- M. Jimbo, Lett. Math, Phys. 10 (1985), 63; 11 (1986), 247;
Commun. Math. Phys. 102 (1986), 537[CrossRef].
- P. P. Kulish and E. K. Sklyanin, Lecture Notes in Phys. 151 (1982), p. 61.
P. P. Kulish and N. Yu. Reshetikhin, J. Sov. Math. 23 (1983), 2435.
- E. Witten Nucl. Phys. B330 (1990), 285.
- L. Alvarez-Gaumé, C. Gomez and G. Sierra, Phys. Lett. B220 (1989), 142; Nucl. Phys. B319 (1989), 155.
- V. Pasquier and H. Saleurs, Nucl. Phys. B330 (1990), 523.
- T. Curtright and C. Zachos, Phys. Lett. B243 (1990), 237.
- M. Chaichian, P. P. Kulish and J. Lukierski, Phys. Lett. B237 (1990), 401.
- N. Aizawa and H. Sato, Phys. Lett. B256 (1991), 185.
- M. Chaichian, A. P. Isaev, J. Lukierski, Z. Popowicz and P. Presnajder, Phys. Lett. B262 (1991), 32.
- Ch. Devchand and M. V. Saveliev, Phys. Lett. B258 (1991), 364.
-
F. J. Narganes-Quijano, J. of Phys. A24 (1991), 593[IoP STACKS].
- A. P. Polychronakos, Phys. Lett. B256 (1991), 35.
- M. Chaichian, D. Ellinas and Z. Popowicz, Phys. Lett. B248 (1990), 95.
- M. Chaichian, Z. Popowicz and P. Presnajder, Phys. Lett. B249 (1990), 63.
- H. Hiro-oka, O. Matsui, T. Naito and S. Saito, Tokyo Metropolitan Univ. Preprint TMUP-HEL-9004 (1990).
- S. Woronowicz, Publ. RIMS-Kyoto 23 (1987), 117.
-
Y. Manin, Commun. Math. Phys. 123 (1989), 163[CrossRef].
-
A. J. Macfarlane, J. of Phys. A22 (1989), 4581[IoP STACKS].
L. C. Biederharn, of Phys. A22 (1989), L873.
T. Hayashi, Commun. Math. Phys. 127 (1990), 129[CrossRef].
-
P. P. Kulish and E. V. Damaskinsky, J. of Phys. A23 (1990), L415[IoP STACKS].
- M. B. Green, J. H. Schwarz and E. Witten, Superstring Theory I (Cambridge Univ. Press, 1987).
- A. A. Belavin, A. M. Polyakov and A. B. Zamolodchikov, Nucl. Phys. B241 (1984), 333.
- A. B. Zamolodchikov, Theor. Math. Phys. 65 (1985) 1205; Integrable Field Theory from Conformal Field Theory, Proc. of Taniguchi Conference on Integrable Models (1988).
- L. D. Faddeev and L. A. Takhtajan, Hamiltonian Methods in the Theory of Solitons (Springer-Verlag, 1987).
- O. Babelon, Phys. Lett. B238 (1990), 234.