Calogero-moser models. I - A new formulation

Progress of Theoretical Physics

Volumn 100, Issue 6, 1998, Pages 1107-1129

  Bordner, A J ^b   Corrigan, E ^a   Sasaki, Ryu ^b  

^a DURHAM UNIVERSITY   (United Kingdom)

^b KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000181470     PISSN: 0033068X     EISSN: None     Source Type: Journal    
DOI: 10.1143/PTP.100.1107     Document Type: Article

References (40)

1. F. Calogero, J. Math. Physics 12 (1971), 419. B. Sutherland, Phys. Rev. A5 (1972), 1372. J. Moser, Adv. Math. 16 (1975), 197; "Integrable systems of non-linear evolution equations", in Dynamical Systems, Theory and Applications, Lecture Notes in Physics 38, ed. J. Moser (Springer-Verlag, 1975). F. Calogero, C. Marchioro and O. Ragnisco, Lett. Nuovo Cim. 13 (1975), 383. F. Calogero, Lett. Nuovo Cim. 13 (1975), 411.
2. F. Calogero, J. Math. Physics 12 (1971), 419. B. Sutherland, Phys. Rev. A5 (1972), 1372. J. Moser, Adv. Math. 16 (1975), 197; "Integrable systems of non-linear evolution equations", in Dynamical Systems, Theory and Applications, Lecture Notes in Physics 38, ed. J. Moser (Springer-Verlag, 1975). F. Calogero, C. Marchioro and O. Ragnisco, Lett. Nuovo Cim. 13 (1975), 383. F. Calogero, Lett. Nuovo Cim. 13 (1975), 411.
3. F. Calogero, J. Math. Physics 12 (1971), 419. B. Sutherland, Phys. Rev. A5 (1972), 1372. J. Moser, Adv. Math. 16 (1975), 197; "Integrable systems of non-linear evolution equations", in Dynamical Systems, Theory and Applications, Lecture Notes in Physics 38, ed. J. Moser (Springer-Verlag, 1975). F. Calogero, C. Marchioro and O. Ragnisco, Lett. Nuovo Cim. 13 (1975), 383. F. Calogero, Lett. Nuovo Cim. 13 (1975), 411.
4. F. Calogero, J. Math. Physics 12 (1971), 419. B. Sutherland, Phys. Rev. A5 (1972), 1372. J. Moser, Adv. Math. 16 (1975), 197; "Integrable systems of non-linear evolution equations", in Dynamical Systems, Theory and Applications, Lecture Notes in Physics 38, ed. J. Moser (Springer-Verlag, 1975). F. Calogero, C. Marchioro and O. Ragnisco, Lett. Nuovo Cim. 13 (1975), 383. F. Calogero, Lett. Nuovo Cim. 13 (1975), 411.
5. F. Calogero, J. Math. Physics 12 (1971), 419. B. Sutherland, Phys. Rev. A5 (1972), 1372. J. Moser, Adv. Math. 16 (1975), 197; "Integrable systems of non-linear evolution equations", in Dynamical Systems, Theory and Applications, Lecture Notes in Physics 38, ed. J. Moser (Springer-Verlag, 1975). F. Calogero, C. Marchioro and O. Ragnisco, Lett. Nuovo Cim. 13 (1975), 383. F. Calogero, Lett. Nuovo Cim. 13 (1975), 411.
6. F. Calogero, J. Math. Physics 12 (1971), 419. B. Sutherland, Phys. Rev. A5 (1972), 1372. J. Moser, Adv. Math. 16 (1975), 197; "Integrable systems of non-linear evolution equations", in Dynamical Systems, Theory and Applications, Lecture Notes in Physics 38, ed. J. Moser (Springer-Verlag, 1975). F. Calogero, C. Marchioro and O. Ragnisco, Lett. Nuovo Cim. 13 (1975), 383. F. Calogero, Lett. Nuovo Cim. 13 (1975), 411.
7. M. A. Olshanetsky and A. M. Perelomov, Inventions Math. 37 (1976), 93.
8. M. A. Olshanetsky and A. M. Perelomov, Phys. Rep. C71 (1981), 314. A. M. Perelomov, Integrable Systems of Classical Mechanics and Lie Algebras, Vol. I (Birkhäuser, Boston, 1990).
9. M. A. Olshanetsky and A. M. Perelomov, Phys. Rep. C71 (1981), 314. A. M. Perelomov, Integrable Systems of Classical Mechanics and Lie Algebras, Vol. I (Birkhäuser, Boston, 1990).
10. VI. Inozemtsev, Lett. Math. Phys. 17 (1981), 11.
11. S. Iso and S. J. Rey, Phys. Lett. B352 (1995), 111. H. Awata, Y. Matsuo and T. Yamamoto, J. of Phys. A29 (1996), 3089. L. Brink, T. H. Hansson, S. Konstein and M. A. Vasiliev, Nucl. Phys. B401 (1993), 591. I. Andrić, V. Bardek and L. Jonke, Phys. Lett. B357 (1995), 374.
12. S. Iso and S. J. Rey, Phys. Lett. B352 (1995), 111. H. Awata, Y. Matsuo and T. Yamamoto, J. of Phys. A29 (1996), 3089. L. Brink, T. H. Hansson, S. Konstein and M. A. Vasiliev, Nucl. Phys. B401 (1993), 591. I. Andrić, V. Bardek and L. Jonke, Phys. Lett. B357 (1995), 374.
13. S. Iso and S. J. Rey, Phys. Lett. B352 (1995), 111. H. Awata, Y. Matsuo and T. Yamamoto, J. of Phys. A29 (1996), 3089. L. Brink, T. H. Hansson, S. Konstein and M. A. Vasiliev, Nucl. Phys. B401 (1993), 591. I. Andrić, V. Bardek and L. Jonke, Phys. Lett. B357 (1995), 374.
14. S. Iso and S. J. Rey, Phys. Lett. B352 (1995), 111. H. Awata, Y. Matsuo and T. Yamamoto, J. of Phys. A29 (1996), 3089. L. Brink, T. H. Hansson, S. Konstein and M. A. Vasiliev, Nucl. Phys. B401 (1993), 591. I. Andrić, V. Bardek and L. Jonke, Phys. Lett. B357 (1995), 374.
15. N. Seiberg and E. Witten, Nucl. Phys. B426 (1994), 19, hep-th/9407087; Nucl. Phys. B431 (1994), 494, hep-th/9408099.
16. N. Seiberg and E. Witten, Nucl. Phys. B426 (1994), 19, hep-th/9407087; Nucl. Phys. B431 (1994), 494, hep-th/9408099.
17. W. Lerche, "Introduction to Seiberg-Witten theory and its stringy origin", Proceedings of the Spring School and Workshop in String Theory, ICTP, Trieste (1996), hep-th/9611190; Nucl. Phys. Proc. Suppl. 55B (1997), 83, and references therein.
18. W. Lerche, "Introduction to Seiberg-Witten theory and its stringy origin", Proceedings of the Spring School and Workshop in String Theory, ICTP, Trieste (1996), hep-th/9611190; Nucl. Phys. Proc. Suppl. 55B (1997), 83, and references therein.
19. A. Gorskii, I. M. Krichever, A. Marshakov, A. Mironov and A. Morozov, Phys. Lett. B355 (1995), 466, hep-th/9505035. M. Matone, Phys. Lett. B357 (1995), 342, hep-th/9506102. T. Nakatsu and K. Takasaki, Mod. Phys. Lett. A11 (1996), 157, hep-th/9509162; Int. J. Mod. Phys. A11 (1996), 5505, hep-th/9603069.
20. A. Gorskii, I. M. Krichever, A. Marshakov, A. Mironov and A. Morozov, Phys. Lett. B355 (1995), 466, hep-th/9505035. M. Matone, Phys. Lett. B357 (1995), 342, hep-th/9506102. T. Nakatsu and K. Takasaki, Mod. Phys. Lett. A11 (1996), 157, hep-th/9509162; Int. J. Mod. Phys. A11 (1996), 5505, hep-th/9603069.
21. A. Gorskii, I. M. Krichever, A. Marshakov, A. Mironov and A. Morozov, Phys. Lett. B355 (1995), 466, hep-th/9505035. M. Matone, Phys. Lett. B357 (1995), 342, hep-th/9506102. T. Nakatsu and K. Takasaki, Mod. Phys. Lett. A11 (1996), 157, hep-th/9509162; Int. J. Mod. Phys. A11 (1996), 5505, hep-th/9603069.
22. A. Gorskii, I. M. Krichever, A. Marshakov, A. Mironov and A. Morozov, Phys. Lett. B355 (1995), 466, hep-th/9505035. M. Matone, Phys. Lett. B357 (1995), 342, hep-th/9506102. T. Nakatsu and K. Takasaki, Mod. Phys. Lett. A11 (1996), 157, hep-th/9509162; Int. J. Mod. Phys. A11 (1996), 5505, hep-th/9603069.
23. R. Donagi and E. Witten, Nucl. Phys. B460 (1996) 299, hep-th/9510101.
24. E. Martinec and N. Warner, Nucl. Phys. B459 (1996), 97, hep-th/9509161.
25. E. D'Hoker and D. H. Phong, Nucl. Phys. B534 (1998), 697, hep-th/9804126.
26. E. D'Hoker and D. H. Phong, Nucl. Phys. B530 (1998), 537, hep-th/9804124.
27. D. I. Olive and N. Turok, Nucl. Phys. B215 (1983), 470. R. Sasaki, Nucl. Phys. B383 (1992), 291. S. P. Khastgir and R. Sasaki, Prog. Theor. Phys. 95 (1996), 503.
28. D. I. Olive and N. Turok, Nucl. Phys. B215 (1983), 470. R. Sasaki, Nucl. Phys. B383 (1992), 291. S. P. Khastgir and R. Sasaki, Prog. Theor. Phys. 95 (1996), 503.
29. D. I. Olive and N. Turok, Nucl. Phys. B215 (1983), 470. R. Sasaki, Nucl. Phys. B383 (1992), 291. S. P. Khastgir and R. Sasaki, Prog. Theor. Phys. 95 (1996), 503.
30. See for example, M. Toda, Theory of Nonlinear Lattices (Springer, 1981), and references therein.
31. A. E. Arinshtein, V. A. Fateev and A. B. Zamolodchikov, Phys. Lett. B87 (1979), 389. H. W. Braden, P. E. Dorey, E. Corrigan and R. Sasaki, Phys. Lett. B227 (1989), 411; Nucl. Phys. B338 (1990), 689. P. Christe and G. Mussardo, Nucl. Phys. B330 (1990), 465.
32. A. E. Arinshtein, V. A. Fateev and A. B. Zamolodchikov, Phys. Lett. B87 (1979), 389. H. W. Braden, P. E. Dorey, E. Corrigan and R. Sasaki, Phys. Lett. B227 (1989), 411; Nucl. Phys. B338 (1990), 689. P. Christe and G. Mussardo, Nucl. Phys. B330 (1990), 465.
33. A. E. Arinshtein, V. A. Fateev and A. B. Zamolodchikov, Phys. Lett. B87 (1979), 389. H. W. Braden, P. E. Dorey, E. Corrigan and R. Sasaki, Phys. Lett. B227 (1989), 411; Nucl. Phys. B338 (1990), 689. P. Christe and G. Mussardo, Nucl. Phys. B330 (1990), 465.
34. A. E. Arinshtein, V. A. Fateev and A. B. Zamolodchikov, Phys. Lett. B87 (1979), 389. H. W. Braden, P. E. Dorey, E. Corrigan and R. Sasaki, Phys. Lett. B227 (1989), 411; Nucl. Phys. B338 (1990), 689. P. Christe and G. Mussardo, Nucl. Phys. B330 (1990), 465.
35. I. M. Krichever, Funct. Anal. Appl. 14 (1980), 282.
36. P. E. Dorey, Nucl. Phys. B358 (1991), 654. H. W. Braden, J. of Phys. A25 (1992), L15.
37. P. E. Dorey, Nucl. Phys. B358 (1991), 654. H. W. Braden, J. of Phys. A25 (1992), L15.
38. A. J. Bordner, R. Sasaki and K. Takasaki, hep-th/9809068.
39. P. Goddard and D. Olive, Int. J. of Mod. Phys. A1 (1986), 303.
40. L. J. Mason and G. A. J. Sparling, J. Geom. Phys. 8 (1992), 243.