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Volumn 42, Issue 10, 2001, Pages 4894-4914

The Lax pairs for elliptic Cn and BCn Ruijsenaars-Schneider models and their spectral curves

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EID: 0035537092     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1389091     Document Type: Article
Times cited : (7)

References (49)
  • 1
    • 0031480003 scopus 로고    scopus 로고
    • Ruijsenaars' commuting difference operators as commuting transfer matrices
    • K. Hasegawa, "Ruijsenaars' commuting difference operators as commuting transfer matrices," Commun. Math. Phys. 187, 289 (1997).
    • (1997) Commun. Math. Phys. , vol.187 , pp. 289
    • Hasegawa, K.1
  • 2
  • 3
    • 0000967131 scopus 로고    scopus 로고
    • Towards effective topological gauge theories on spectral curves
    • A. Gorsky and A. Marshakov, "Towards effective topological gauge theories on spectral curves," Phys. Lett. B 375, 127 (1996).
    • (1996) Phys. Lett. B , vol.375 , pp. 127
    • Gorsky, A.1    Marshakov, A.2
  • 4
    • 0000531582 scopus 로고    scopus 로고
    • Five-dimension gauge theories and relativistic integrable systems
    • hep-th/96C9219
    • N. Nekrasov, "Five-dimension gauge theories and relativistic integrable systems," hep-th/96C9219; Nucl. Phys. B 531, 323 (1998).
    • (1998) Nucl. Phys. B , vol.531 , pp. 323
    • Nekrasov, N.1
  • 5
    • 0033523574 scopus 로고    scopus 로고
    • The Ruijsenaars-Schneider model in the context of Seiberg-Witten theory
    • hep-th/9902205
    • H.W. Braden, A. Marshakov, A. Mironov, and A. Morozov, "The Ruijsenaars-Schneider model in the context of Seiberg-Witten theory," hep-th/9902205; Nucl. Phys. B 558, 371 (1999).
    • (1999) Nucl. Phys. B , vol.558 , pp. 371
    • Braden, H.W.1    Marshakov, A.2    Mironov, A.3    Morozov, A.4
  • 6
    • 3543099119 scopus 로고
    • Complete integrability of relativistic Calogero-Moser systems and el iptic function identities
    • S.N.M. Ruijsenaars, "Complete integrability of relativistic Calogero-Moser systems and el iptic function identities," Commun. Math. Phys. 110, 191 (1987).
    • (1987) Commun. Math. Phys. , vol.110 , pp. 191
    • Ruijsenaars, S.N.M.1
  • 7
    • 0001172520 scopus 로고
    • Action-angle maps and scattering theory for some finite-dimensional integrable systems
    • S.N.M. Ruijsenaars, "Action-angle maps and scattering theory for some finite-dimensional integrable systems," Commun. Math. Phys. 115, 127 (1988).
    • (1988) Commun. Math. Phys. , vol.115 , pp. 127
    • Ruijsenaars, S.N.M.1
  • 8
    • 0011546968 scopus 로고
    • Classical integrable finite-dimensional systems related to Lie algebras
    • M.A. Olshanetsky and A.M. Perelomov, "Classical integrable finite-dimensional systems related to Lie algebras," Phys. Rep. 71, 314 (1981); A.M. Perelomov. Integrable Systems of Classical Mechanics and Lie Algebras (Birkhàuser, Boston, 1990).
    • (1981) Phys. Rep. , vol.71 , pp. 314
    • Olshanetsky, M.A.1    Perelomov, A.M.2
  • 10
    • 0001842633 scopus 로고
    • Lax representation with spectral parameter on a torus for integrable particle systems
    • VI. Inozemtsev, "Lax representation with spectral parameter on a torus for integrable particle systems," Lett. Math. Phys. 17, 11 (1989).
    • (1989) Lett. Math. Phys. , vol.17 , pp. 11
    • Inozemtsev, V.I.1
  • 11
    • 0032547607 scopus 로고    scopus 로고
    • Calogero-Moser Lax pairs with spectral parameter for general Lie algebras
    • hep-th/9804124
    • E. D'Hoker and D.H. Phong, "Calogero-Moser Lax pairs with spectral parameter for general Lie algebras," hep-th/9804124; Nucl. Phys. B 530, 537 (1998).
    • (1998) Nucl. Phys. B , vol.530 , pp. 537
    • D'Hoker, E.1    Phong, D.H.2
  • 12
    • 0000181470 scopus 로고    scopus 로고
    • Calogero-Moser models. I. A new formulatior
    • hep-th/9805106
    • A.J. Bordner, E. Corrigan, and R. Sasaki, "Calogero-Moser Models. I. A new formulatior," hep-th/9805106; Prog. Theor. Phys. 100, 1107 (1998).
    • (1998) Prog. Theor. Phys. , vol.100 , pp. 1107
    • Bordner, A.J.1    Corrigan, E.2    Sasaki, R.3
  • 13
    • 0033246764 scopus 로고    scopus 로고
    • Calogero-Moser models. II. Symmetries and foldings
    • hep-th/9809068
    • A.J. Bordner, R. Sasaki, and K. Takasaki, "Calogero-Moser Models. II. Symmetries and foldings," hep-th/9809068; Prog. Theor. Phys. 101, 487 (1999).
    • (1999) Prog. Theor. Phys. , vol.101 , pp. 487
    • Bordner, A.J.1    Sasaki, R.2    Takasaki, K.3
  • 14
    • 0033112593 scopus 로고    scopus 로고
    • Calogero-Moser models III: Elliptic potentials and twisting
    • hep-th/9812232
    • A.J. Bordner and R. Sasaki, "Calogero-Moser Models III: Elliptic potentials and twisting," hep-th/9812232; Prog. Theor. Phys. 101, 799 (1999).
    • (1999) Prog. Theor. Phys. , vol.101 , pp. 799
    • Bordner, A.J.1    Sasaki, R.2
  • 15
    • 0033197082 scopus 로고    scopus 로고
    • Generalized Calogero-Moser models and universal Lax pair operators
    • hep-th/9905011
    • A.J. Bordner, E. Corrigan, and R. Sasaki, "Generalized Calogero-Moser models and universal Lax pair operators," hep-th/9905011; Prog. Theor. Phys. 102, 499 (1999).
    • (1999) Prog. Theor. Phys. , vol.102 , pp. 499
    • Bordner, A.J.1    Corrigan, E.2    Sasaki, R.3
  • 17
    • 0034146062 scopus 로고    scopus 로고
    • Calogero-Moser models, V. Supersymmetry and quantum Lax pair
    • hep-th/9910033
    • A.J. Bordner, N.S. Manton, and R. Sasaki, "Calogero-Moser models, V. Supersymmetry and quantum Lax pair," hep-th/9910033; Prog. Theor. Phys. 103, 463 (2000).
    • (2000) Prog. Theor. Phys. , vol.103 , pp. 463
    • Bordner, A.J.1    Manton, N.S.2    Sasaki, R.3
  • 19
    • 0007456353 scopus 로고
    • Quantum integrable systems related to Lie algebras
    • M.A. Olshanetsky and A.M. Perelomov, "Quantum integrable systems related to Lie algebras," Phys. Rep. 94, 313 (1983).
    • (1983) Phys. Rep. , vol.94 , pp. 313
    • Olshanetsky, M.A.1    Perelomov, A.M.2
  • 20
    • 0001574684 scopus 로고
    • The Lax pair representation for an integrable class of relativistic dynamical systems
    • M. Bruschi and F. Calogero, "The Lax pair representation for an integrable class of relativistic dynamical systems," Commun. Math. Phys. 109, 481 (1987).
    • (1987) Commun. Math. Phys. , vol.109 , pp. 481
    • Bruschi, M.1    Calogero, F.2
  • 21
    • 0001882723 scopus 로고
    • Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra
    • I. Krichever and A. Zabrodin, "Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and representations of the Sklyanin algebra," Usp. Mat. Nauk 50, 3 (1995).
    • (1995) Usp. Mat. Nauk , vol.50 , pp. 3
    • Krichever, I.1    Zabrodin, A.2
  • 23
    • 0039054087 scopus 로고    scopus 로고
    • Elliptic Ruijssnaars-Schneider and Calogero-Moser hierarchies are governed by the same r-matrix
    • solv-int/9603011
    • Y.B. Suris, "Elliptic Ruijssnaars-Schneider and Calogero-Moser hierarchies are governed by the same r-matrix," solv-int/9603011; Phys. Lett. A 225, 253 (1997).
    • (1997) Phys. Lett. A , vol.225 , pp. 253
    • Suris, Y.B.1
  • 24
    • 0031513243 scopus 로고    scopus 로고
    • Elliptic Ruijsenaars-Schneider model from the cotangent bundle over the two-dimensional current group
    • hep-th/9608013
    • G.E. Arutyunov, S.A. Frolov, and P.B. Medvedev, "Elliptic Ruijsenaars-Schneider model from the cotangent bundle over the two-dimensional current group," hep-th/9608013; J. Math. Phys. 38, 5682 (1997).
    • (1997) J. Math. Phys. , vol.38 , pp. 5682
    • Arutyunov, G.E.1    Frolov, S.A.2    Medvedev, P.B.3
  • 25
    • 0032332145 scopus 로고    scopus 로고
    • Conserved operators of the generalized elliptic Ruijsenaars models
    • Y. Komori and K. Hikami, "Conserved operators of the generalized elliptic Ruijsenaars models," J. Math. Phys. 39, 6175 (1998).
    • (1998) J. Math. Phys. , vol.39 , pp. 6175
    • Komori, Y.1    Hikami, K.2
  • 27
    • 21344479784 scopus 로고
    • Integrability of difference Calogero-Moser systems
    • J.F. van Diejen, "Integrability of difference Calogero-Moser systems," J. Math. Phys. 35, 2983 (1994).
    • (1994) J. Math. Phys. , vol.35 , pp. 2983
    • Van Diejen, J.F.1
  • 28
    • 0001355038 scopus 로고
    • Commuting difference operators with polynomial eigenfunctions
    • J.F. van Diejen, "Commuting difference operators with polynomial eigenfunctions," Compositio. Math. 95, 183 (1995).
    • (1995) Compositio. Math. , vol.95 , pp. 183
    • Van Diejen, J.F.1
  • 30
    • 0035373669 scopus 로고    scopus 로고
    • 2-type Ruijsenaars-Schneider model
    • hep-th/0004006
    • 2-type Ruijsenaars-Schneider model," hep-th/0004006; Chin. Phys. 10, 550 (2001).
    • (2001) Chin. Phys. , vol.10 , pp. 550
    • Chen, K.1    Hou, B.Y.2    Yang, W.-L.3
  • 33
    • 0034388885 scopus 로고    scopus 로고
    • Instanton correction of prepotential in Ruijsenaars model associated with N = 2 SU(2) Seiberg-Witten theory
    • hep-th/9909196
    • Y. Ohta, "Instanton correction of prepotential in Ruijsenaars model associated with N = 2 SU(2) Seiberg-Witten theory," hep-th/9909196; J. Math. Phys. 41, 4541 (2000).
    • (2000) J. Math. Phys. , vol.41 , pp. 4541
    • Ohta, Y.1
  • 36
    • 14944363471 scopus 로고
    • A new class of integrable systems and its relation to solitons
    • S.N.M. Ruijsenaars and H. Schneider, "A new class of integrable systems and its relation to solitons," Ann. Phys. (Leipzig) 170, 370 (1986).
    • (1986) Ann. Phys. (Leipzig) , vol.170 , pp. 370
    • Ruijsenaars, S.N.M.1    Schneider, H.2
  • 42
    • 0032583037 scopus 로고    scopus 로고
    • Spectral curves for Super-Yang-Mills with adjoint hypermultiplet for general Lie algebras
    • hep-th/9804126
    • E. D'Hoker and D.H. Phong, "Spectral curves for Super-Yang-Mills with adjoint hypermultiplet for general Lie algebras," hep-th/9804126; Nucl. Phys. B 534, 697 (1998).
    • (1998) Nucl. Phys. B , vol.534 , pp. 697
    • D'Hoker, E.1    Phong, D.H.2
  • 44
    • 0008982194 scopus 로고
    • The finite Toda lattices
    • V. I. Inozemtsev, "The finite Toda lattices," Commun. Math. Phys. 121, 628 (1989).
    • (1989) Commun. Math. Phys. , vol.121 , pp. 628
    • Inozemtsev, V.I.1
  • 45
    • 0032547608 scopus 로고    scopus 로고
    • Calogero-Moser and Toda systems for twisted and untwisted affine Lie algebras
    • hep-th/9804125
    • E. D'Hoker and D.H. Phong, "Calogero-Moser and Toda systems for twisted and untwisted affine Lie Algebras," hep-th/9804125; Nucl. Phys. B 530, 611 (1998).
    • (1998) Nucl. Phys. B , vol.530 , pp. 611
    • D'Hoker, E.1    Phong, D.H.2
  • 46
    • 0033234857 scopus 로고    scopus 로고
    • Calogero-Moser models. IV. Limits to Toda theory
    • hep-th/9907102
    • S.P. Khastgir, R. Sasaki, and K. Takasaki, "Calogero-Moser Models. IV. Limits to Toda theory," hep-th/9907102; Prog. Theor. Phys. 102, 749 (1999).
    • (1999) Prog. Theor. Phys. , vol.102 , pp. 749
    • Khastgir, S.P.1    Sasaki, R.2    Takasaki, K.3
  • 47
    • 0345860250 scopus 로고
    • Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles
    • I.M. Krichever, "Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles," Funct. Anal. Appl. 14, 282 (1980).
    • (1980) Funct. Anal. Appl. , vol.14 , pp. 282
    • Krichever, I.M.1
  • 48
    • 0030583978 scopus 로고    scopus 로고
    • Integrable systems and supersymmetric gauge theory
    • hep-th/9509161
    • E. Martinec and N. Warner, "Integrable Systems and supersymmetric gauge theory," hep-th/9509161; Nucl. Phys. B 459, 97 (1996).
    • (1996) Nucl. Phys. B , vol.459 , pp. 97
    • Martinec, E.1    Warner, N.2
  • 49
    • 0034692388 scopus 로고    scopus 로고
    • Whitham deformation of Seiberg-Witten curves for classical gauge groups
    • hep-th/9901120
    • K. Takasaki, "Whitham deformation of Seiberg-Witten curves for classical gauge groups," hep-th/9901120; Int. J. Mod. Phys. A 15, 3635 (2000).
    • (2000) Int. J. Mod. Phys. A , vol.15 , pp. 3635
    • Takasaki, K.1


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