Infinite Symmetry of the Spin Systems with Inverse Square Interactions

Journal of the Physical Society of Japan

Volumn 62, Issue 12, 1993, Pages 4203-4217

  Hikami, Kazuhiro ^a   Wadati, Miki ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Calogero type; integrability; Sutherland type; W1+ algebra

Indexed keywords

EID: 0043067458     PISSN: 00319015     EISSN: 13474073     Source Type: Journal    
DOI: 10.1143/JPSJ.62.4203     Document Type: Article

References (27)

1. F. Calogero: J. Math. Phys. 10 (1969) 2197; J. Math. Phys. 12 (1971) 418.
2. J. Moser: Adv. Math. 16 (1975) 197.
3. B. Sutherland: J. Math. Phys. 12 (1971) 246, 251; Phys. Rev. A4 (1971) 2019; Phys. Rev. A5 (1972) 1372.
4. Z. N. C. Ha and F. D. M. Haldane: Phys. Rev. B46 (1992) 9359.
5. K. Hikami and M. Wadati: J. Phys. Soc. Jpn. 62 (1993) 469; Phys. Lett. 173A (1993) 263.
6. J. Minahan and A. Polychronakos: Phys. Lett. 302B (1993) 265.
7. F. D. M. Haldane: Phys. Rev. Lett. 60 (1988) 635.
8. B. S. Shastry: Phys. Rev. Lett. 60 (1988) 639.
9. M. Wadati, K. Hikami and H. Ujino: Chaos, Solitons & Fractals (1993), in press; H. Ujino, M. Wadati and K. Hikami: J. Phys. Soc. Jpn. 62 (1993) 3035.
10. V. G. Knizhnik and A. B. Zamolodchikov: Nucl. Phys. B247 (1984) 83.
11. C. N. Pope: in Proc. of the 1991 Trieste Summer School in High Energy Physics, World Scientific, 1992; P. Bouwknegt and K. Shoutens: Phys. Rep. 223 (1993) 183.
12. K. Hikami and M. Wadati: J. Phys. Soc. Jpn. 62 (1993) 2525.
13. H. Ujino, K. Hikami and M. Wadati: J. Phys. Soc. Jpn. 61 (1992) 3425.
14. G. Barucchi and T. Regge: J. Math. Phys. 18 (1977) 1149.
15. V. Kac: Infinite Dimensional Lie Algebras, Birkhauser, Basel, 1983; P. Goddard and D. Olive: Int. J. Mod. Phys. A1 (1986) 303.
16. J. Gibbons and T. Hermsen: Physica IID (1984) 337.
17. A. Bilal: Phys. Lett. 227B (1989) 406; L Bakas: Phys. Lett. 228B (1989) 57.
18. D. Bernard, M. Gaudin, F. D. M. Haldane and V. Pasquier: J. Phys. A26 (1993) 5219.
19. L Bakas and E. B. Kiritsis: Prog. Theor. Phys. Suppl. No. 102 (1990) 15; S. Odake and T. Sano: Phys. Lett. 258B (1991) 369.
20. K. Hikami and M. Wadati: J. Phys. Soc. Jpn. 62 (1993) 3857.
21. A. Jevicki and B. Sakita: Nucl. Phys. B165 (1980) 511.
22. J. Avan and A. Jevicki: Phys. Lett. 266 (1991) 35; Phys. Lett. 272B (1991) 17.
23. S. Iso, D. Karabali and B. Sakita: Nucl. Phys. B388 (1992) 700; A. Cappelli, C. A. Trugenberger and G. R. Zemba: Nucl. Phys. B396 (1993) 465.
24. N. Kawakami: Phys. Rev. Lett. 71 (1993) 275.
25. F. D. M. Haldane, Z. N. C. Ha, J. C. Talstra, D. Bernard and V. Pasquier: Phys. Rev. Lett. 69 (1992) 2021.
26. V. G. Drinfeld: in Proc. of ICM, Berkeley, California, USA, 1986.
27. A. LeClair and F. A. Smirnov: Int. J. Mod. Phys. A7 (1992) 2997; F. A. Smirnov: Int. J. Mod. Phys. A7 Suppl. IB (1992) 813.