Elliptic Ruijsenaars-Schneider model from the cotangent bundle over the two-dimensional current group

Journal of Mathematical Physics

Volumn 38, Issue 11, 1997, Pages 5682-5689

  Arutyunov, G E ^a   Frolov, S A ^a   Medvedev, P B ^b  

^a STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

^b INSTITUTE FOR THEORETICAL AND EXPERIMENTAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031513243     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532160     Document Type: Article

References (11)

1. G. E. Arutyunov, S. A. Frolov, and P. B. Medvedev, Elliptic Ruijsenaars-Schneider model via the Poisson reduction of the Affine Heisenberg Double; hep-th/9607170, to appear in J. Phys. A: Math, and Gen.
2. S. N. Ruijsenaars, Commun. Math. Phys. 110, 191 (1987).
3. V. I. Arnol'd, Mathematical Methods of Classical Mechanics, Graduate Texts in Math., 60, (Springer, Berlin, 1989).
4. M. A. Olshanetsky and A. M. Perelomov, Invent. Math. 37, 93 (1976).
5. D. Kazhdan, B. Kostant, and S. Sternberg, Commun. Pure Appl. Math. 31, 481 (1978).
6. M. A. Olshanetsky and A. M. Perelomov, Phys. Rep. 71, 313 (1981).
7. M. A. Olshanetsky and A. M. Perelomov, Phys. Rep. 94, 6 (1983).
8. J. Avan and M. Talon, Phys. Lett. B 303, 33 (1993).
9. A. Gorsky and N. Nekrasov. Elliptic Calogero-Moser system from two-dimensional current algebra; Preprint hep-th/ 9401021.
10. G. E. Arutyunov and P. B. Medvedev, Generating equation for r-matrices related to dynamical systems of Calogero type; Preprint hep-th/9511070, Phys. Lett. A 223, 66-74 (1996).
11. Yu. B. Suris, Elliptic Ruijsenaars-Schneider and Calogero-Moser hierarchies are governed by the same r-matrix, solvint/9603011.