Hidden Symmetry of the Bogoyavlensky Lattice. The Lattice W Algebras and the Vertex Operators

Journal of the Physical Society of Japan

Volumn 66, Issue 12, 1997, Pages 3756-3763

  Hikami, Kazuhiro ^a   Sogo, Kiyoshi ^b   Inoue, Rei ^a  

^a UNIVERSITY OF TOKYO   (Japan)

^b KITASATO UNIVERSITY   (Japan)

Author keywords

Bogoyavlensky lattice; Hirota's bilinear equation; Lattice W algebra; Vertex operator; Virasoro algebra; Volterra model; function

Indexed keywords

EID: 0031376193     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.66.3756     Document Type: Article

References (31)

1. A. B. Zamolodchikov: Theor. Math. Phys. 65 (1985) 1205.
2. L. A. Dickey: Soliton Equations and Hamiltonian Systems (World Scientific, Singapore, 1991).
3. V. A. Fateev and S. L. Lukyanov: Int. J. Mod. Phys. A 7 (1992) 853.
4. E. Frenkel: IMRN 1996 (1996) 55.
5. J. Shiraishi, H. Kubo, H. Awata and S. Odake: Lett. Math. Phys. 38 (1996) 33.
6. L. D. Faddeev and L. A. Takhtajan: Lecture Notes in Physics (Springer, Berlin, 1986) Vol. 246, p. 166.
7. A. Yu. Volkov: Phys. Lett. A 167 (1992) 345.
8. A. Yu. Volkov and L. D. Faddeev: Teor. Mat. Fiz. 92 (1992) 207.
9. L. D. Faddeev and A. Yu. Volkov: Phys. Lett. B 315 (1993) 311.
10. A. A. Belov and K. D. Chaltikian: Phys. Lett. B 317 (1993) 64.
11. A. A. Belov and K. D. Chaltikian: Phys. Lett. B 317 (1993) 73.
12. A. V. Antonov, A. A. Belov and K. D. Chaltikian: J. Geom. Phys. 22 (1997) 298.
13. M. Semenov-Tian-Shansky and A. Sevostyanov: q-alg/9702016 (1997).
14. E. Frenkel, N. Reshetikhin and M. Semenov-Tian-Shansky: q-alg/9704011 (1997).
15. K. Hikami and R. Inoue: J. Phys. A: Math. Gen. 30 (1997) 6911.
16. K. Hikami: Chaos, Solitons & Fractals 9 (1998) to appear.
17. O. I. Bogoyavlensky: Phys. Lett. A 134 (1988) 34.
18. Y. Itoh: Prog. Theor. Phys. 78 (1987) 507.
19. Yu. B. Suris: Phys. Lett. A 188 (1994) 256.
20. R. Inoue and K. Hikami: J. Phys. Soc. Jpn. 67 (1998) No. 1, to appear.
21. L. D. Faddeev and L. A. Takhtajan: Hamiltonian Methods in the Theory of Solitons (Springer, Berlin, 1987).
22. R. Hirota and J. Satsuma: J. Phys. Soc. Jpn. 40 (1976) 891.
23. R. Hirota: J. Phys. Soc. Jpn. 51 (1981) 3785.
24. E. Date, M. Kashiwara, M. Jimbo and T. Miwa: Nonlinear Integrate Systems (World Scientific, Singapore, 1983) p. 39.
25. A. Nagai and J. Satsuma: J. Phys. Soc. Jpn. 64 (1995) 3669.
26. L. Bonora, L. P. Colatto and C. P. Constantinidis: Phys. Lett. B 387 (1996) 759.
27. Y. Itoh: J. Phys. Soc. Jpn. 62 (1993) 1826.
28. R. Hirota, S. Tsujimoto and T. Imai: Future Directions of Nonlinear Dynamics in Physical and Biological Systems, ed. P. L. Christiansen, J. C. Eilbeck and R. D. Parmentier (Plenum Press, New York, 1993) p. 7.
29. Y. Itoh: Prog. Theor. Phys. 80 (1988) 749.
30. R. Hirota and S. Tsujimoto: RIMS Kôkyûroku 868 (1994) 31 [in Japanese].
31. K. Hikami: Nucl. Phys. B 505 (1997) 749.