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

Arutyunov, G.E.; Frolov, S.A.; Medvedev, P.B.

doi:10.1063/1.532160

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

Aug, 1996

9 pages

Published in:

J.Math.Phys. 38 (1997) 5682-5689

e-Print:

hep-th/9608013 [hep-th]

DOI:

10.1063/1.532160

Report number:

SMI-96-56

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Abstract:

It is shown that the elliptic Ruijsenaars-Schneider model can be obtained from the cotangent bundle over the two-dimensional current group by means of the Hamiltonian reduction procedure.

References(9)

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Elliptic Ruijsenaars-Schneider model via the Poisson reduction of the affine Heisenberg double

- J.Phys.A 30 (1997) 5051-5063
•
e-Print:
- hep-th/9607170
•
DOI:
- 10.1088/0305-4470/30/14/016

Complete Integrability of Relativistic Calogero-moser Systems and Elliptic Function Identities

S.N.M. Ruijsenaars
(
- Munich, Max Planck Inst.
)

- Commun.Math.Phys. 110 (1987) 191
•
DOI:
- 10.1007/BF01207363

- Invent.Math. 37 93

- Commun.Pure Appl.Math. 31 481

Classical integrable finite dimensional systems related to Lie algebras

M.A. Olshanetsky
(
- Moscow, ITEP
)
,
A.M. Perelomov
(
- Moscow, ITEP
)

- Phys.Rept. 71 (1981) 313
•
DOI:
- 10.1016/0370-1573(81)90023-5

- Phys.Rept. 94 6

Classical R matrix structure for the Calogero model

J. Avan
(
- Paris U., VI-VII
)
,
M. Talon
(
- Paris U., VI-VII
)

- Phys.Lett.B 303 (1993) 33-37
•
e-Print:
- hep-th/9210128
•
DOI:
- 10.1016/0370-2693(93)90039-K

Elliptic Calogero-Moser system from two-dimensional current algebra

Alexander Gorsky
(
- Moscow, ITEP
)
,
Nikita Nekrasov
(
- Moscow, ITEP
)

e-Print:
- hep-th/9401021

Geometric construction of the classical R matrices for the elliptic and trigonometric Calogero-Moser systems

e-Print:
- hep-th/9511070