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Volumn 668, Issue 3, 2003, Pages 469-505

Classification of reflection matrices related to (super-)Yangians and application to open spin chain models

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EID: 0042885923     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(03)00503-0     Document Type: Article
Times cited : (36)

References (58)
  • 1
    • 33646658856 scopus 로고
    • Factorizing particles on a half line and root systems
    • Cherednik I.V. Factorizing particles on a half line and root systems Theor. Math. Phys. 61 1984-977
    • (1984) Theor. Math. Phys. , vol.61 , pp. 977
    • Cherednik, I.V.1
  • 2
    • 0012286789 scopus 로고
    • Boundary conditions for integrable quantum systems
    • Sklyanin E.K. Boundary conditions for integrable quantum systems J. Phys. A 21 1988-2375
    • (1988) J. Phys. A , vol.21 , pp. 2375
    • Sklyanin, E.K.1
  • 3
    • 0001181969 scopus 로고
    • Boundary S matrix and boundary state in two-dimensional integrable quantum field theory
    • Ghoshal S. Zamolodchikov A.B. Boundary S matrix and boundary state in two-dimensional integrable quantum field theory Int. J. Mod. Phys. A 9 1994 3841
    • (1994) Int. J. Mod. Phys. A , vol.9 , pp. 3841
    • Ghoshal, S.1    Zamolodchikov, A.B.2
  • 4
    • 25044457615 scopus 로고
    • Boundary K matrices for the six vertex and the N(2N-1), A(N-1) vertex models
    • de Vega H.J. González-Ruiz A. Boundary K matrices for the six vertex and the N(2N-1), A(N-1) vertex models J. Phys. A 26 1993 L519
    • (1993) J. Phys. A , vol.26
    • de Vega, H.J.1    González-Ruiz, A.2
  • 5
    • 33645929032 scopus 로고
    • Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models
    • Zamolodchikov A.B. Zamolodchikov A.B. Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models Ann. Phys. 120 1979 253
    • (1979) Ann. Phys. , vol.120 , pp. 253
    • Zamolodchikov, A.B.1    Zamolodchikov, A.B.2
  • 6
    • 0001127114 scopus 로고
    • Quantum completely integrable models in field theory
    • Faddeev L.D. Quantum completely integrable models in field theory Sov. Sci. Rev. C 1 1980 107
    • (1980) Sov. Sci. Rev. C , vol.1 , pp. 107
    • Faddeev, L.D.1
  • 7
    • 0000779002 scopus 로고    scopus 로고
    • Boundary exchange algebras and scattering on the half-line
    • Liguori A. Mintchev M. Zhao L. Boundary exchange algebras and scattering on the half-line Commun. Math. Phys. 194 1998 569
    • (1998) Commun. Math. Phys. , vol.194 , pp. 569
    • Liguori, A.1    Mintchev, M.2    Zhao, L.3
  • 8
    • 0013264482 scopus 로고    scopus 로고
    • Reflection equation, twist, and equivariant quantization
    • math.QA/0204295
    • Donin J. Mudrov A.I. Reflection equation, twist, and equivariant quantization math.QA/0204295
    • Donin, J.1    Mudrov, A.I.2
  • 9
    • 4243410613 scopus 로고    scopus 로고
    • On universal solution to reflection equation
    • math.QA/0210242
    • Donin J. Kulish P.P. Mudrov A.I. On universal solution to reflection equation math.QA/0210242
    • Donin, J.1    Kulish, P.P.2    Mudrov, A.I.3
  • 10
    • 0037467595 scopus 로고    scopus 로고
    • Sine-Gordon quantum field theory on the half line with quantum boundary degrees of freedom
    • Baseilhac P. Koizumi K. Sine-Gordon quantum field theory on the half line with quantum boundary degrees of freedom Nucl. Phys. B 649 2003 491
    • (2003) Nucl. Phys. B , vol.649 , pp. 491
    • Baseilhac, P.1    Koizumi, K.2
  • 11
    • 0037327262 scopus 로고    scopus 로고
    • Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line
    • Delius G.W. MacKay N.J. Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line Commun. Math. Phys. 233 2003 173
    • (2003) Commun. Math. Phys. , vol.233 , pp. 173
    • Delius, G.W.1    MacKay, N.J.2
  • 12
    • 0041969878 scopus 로고    scopus 로고
    • Solutions of the boundary Yang-Baxter equation for arbitrary spin
    • Delius G.W. Nepomechie R.I. Solutions of the boundary Yang-Baxter equation for arbitrary spin J. Phys. A 35 2002 L341
    • (2002) J. Phys. A , vol.35
    • Delius, G.W.1    Nepomechie, R.I.2
  • 13
    • 0042092611 scopus 로고    scopus 로고
    • Boundary quantum group generators of type A
    • Nepomechie R.I. Boundary quantum group generators of type A Lett. Math. Phys. 62 2002 83
    • (2002) Lett. Math. Phys. , vol.62 , pp. 83
    • Nepomechie, R.I.1
  • 14
    • 0002143338 scopus 로고
    • Nondiagonal solutions to reflection equations in SU(N) spin chains
    • Abad J. Rios M. Nondiagonal solutions to reflection equations in SU(N) spin chains Phys. Lett. B 352 1995 92
    • (1995) Phys. Lett. B , vol.352 , pp. 92
    • Abad, J.1    Rios, M.2
  • 15
    • 0000413470 scopus 로고    scopus 로고
    • Fractional-spin integrals of motion for the boundary sine-Gordon model at the free fermion point
    • Mezincescu L. Nepomechie R.I. Fractional-spin integrals of motion for the boundary sine-Gordon model at the free fermion point Int. J. Mod. Phys. A 13 1998 2747
    • (1998) Int. J. Mod. Phys. A , vol.13 , pp. 2747
    • Mezincescu, L.1    Nepomechie, R.I.2
  • 16
    • 0033547126 scopus 로고    scopus 로고
    • Reflection K matrices for 19-vertex models
    • Lima-Santos A. Reflection K matrices for 19-vertex models Nucl. Phys. B 558 1999 637
    • (1999) Nucl. Phys. B , vol.558 , pp. 637
    • Lima-Santos, A.1
  • 17
    • 0010981562 scopus 로고    scopus 로고
    • (1) boundary Yang-Baxter equation
    • hep-th/9911178
    • (1) boundary Yang-Baxter equation hep-th/9911178
    • Gandenberger, G.M.1
  • 19
    • 0000911818 scopus 로고
    • Hopf algebras and the quantum Yang-Baxter equation
    • Drinfel'd V.G. Hopf algebras and the quantum Yang-Baxter equation Sov. Math. Dokl. 32 1985 254
    • (1985) Sov. Math. Dokl. , vol.32 , pp. 254
    • Drinfel'd, V.G.1
  • 20
    • 0000503475 scopus 로고
    • A new realization of Yangians and quantized affine algebras
    • Drinfel'd V.G. A new realization of Yangians and quantized affine algebras Sov. Math. Dokl. 36 1988 212
    • (1988) Sov. Math. Dokl. , vol.36 , pp. 212
    • Drinfel'd, V.G.1
  • 22
    • 0035851089 scopus 로고    scopus 로고
    • Spontaneous symmetry breaking in the gl(N)-NLS hierarchy on the half line
    • Mintchev M. Ragoucy É. Sorba P. Spontaneous symmetry breaking in the gl(N)-NLS hierarchy on the half line J. Phys. A 34 2001 8345
    • (2001) J. Phys. A , vol.34 , pp. 8345
    • Mintchev, M.1    Ragoucy, É.2    Sorba, P.3
  • 23
    • 0037328088 scopus 로고    scopus 로고
    • Boundary scattering, symmetric spaces and the principal chiral model on the half-line
    • MacKay N.J. Short B.J. Boundary scattering, symmetric spaces and the principal chiral model on the half-line Commun. Math. Phys. 233 2003 313
    • (2003) Commun. Math. Phys. , vol.233 , pp. 313
    • MacKay, N.J.1    Short, B.J.2
  • 24
    • 0035945015 scopus 로고    scopus 로고
    • Integrable boundary conditions and reflection matrices for the O(N) nonlinear sigma model
    • Moriconi M. Integrable boundary conditions and reflection matrices for the O(N) nonlinear sigma model Nucl. Phys. B 619 2001 396
    • (2001) Nucl. Phys. B , vol.619 , pp. 396
    • Moriconi, M.1
  • 25
    • 0002309210 scopus 로고
    • Twisted Yangians and infinite-dimensional Lie algebras
    • P. Kulish (Ed.), Quantum Groups 1510
    • Olshanski G.I. Twisted Yangians and infinite-dimensional Lie algebras in: Kulish P. (Ed.), Quantum Groups Lecture Notes in Mathematics 1510 1992 104
    • (1992) Lecture Notes in Mathematics , pp. 104
    • Olshanski, G.I.1
  • 27
    • 0030588041 scopus 로고    scopus 로고
    • Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
    • Noumi M. Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces Adv. Math. 123 1996 16
    • (1996) Adv. Math. , vol.123 , pp. 16
    • Noumi, M.1
  • 28
    • 0442263520 scopus 로고    scopus 로고
    • Coideal subalgebras in quantum affine algebras
    • math.QA/0208140
    • Molev A. Ragoucy É. Sorba P. Coideal subalgebras in quantum affine algebras math.QA/0208140
    • Molev, A.1    Ragoucy, É.2    Sorba, P.3
  • 29
    • 0002525113 scopus 로고
    • The principal chiral field in two-dimensions on classical Lie algebras: The Bethe ansatz solution and factorized theory of scattering
    • Ogievetsky E. Reshetikhin N.Yu. Wiegmann P. The principal chiral field in two-dimensions on classical Lie algebras: the Bethe ansatz solution and factorized theory of scattering Nucl. Phys. B 280 1987 45
    • (1987) Nucl. Phys. B , vol.280 , pp. 45
    • Ogievetsky, E.1    Reshetikhin, N.Yu.2    Wiegmann, P.3
  • 31
    • 0030515852 scopus 로고    scopus 로고
    • Riemannian symmetric superspaces and their origin in random-matrix theory
    • Zirnbauer M. Riemannian symmetric superspaces and their origin in random-matrix theory J. Math. Phys. 37 1996 4986
    • (1996) J. Math. Phys. , vol.37 , pp. 4986
    • Zirnbauer, M.1
  • 35
    • 0009994136 scopus 로고
    • A method of functional equations in the theory of exactly solvable quantum systems
    • Reshetikhin N.Yu. A method of functional equations in the theory of exactly solvable quantum systems Lett. Math. Phys. 7 1983 205
    • (1983) Lett. Math. Phys. , vol.7 , pp. 205
    • Reshetikhin, N.Yu.1
  • 36
    • 0009466381 scopus 로고
    • Integrable models of quantum one-dimensional magnets with O(n) and Sp(2k) symmetry
    • Reshetikhin N.Yu. Integrable models of quantum one-dimensional magnets with O(n) and Sp(2k) symmetry Theor. Math. Phys. 63 1985 555
    • (1985) Theor. Math. Phys. , vol.63 , pp. 555
    • Reshetikhin, N.Yu.1
  • 37
    • 0009995780 scopus 로고
    • The spectrum of the transfer matrices connected with Kac-Moody algebras
    • Reshetikhin N.Yu. The spectrum of the transfer matrices connected with Kac-Moody algebras Lett. Math. Phys. 14 1987 235
    • (1987) Lett. Math. Phys. , vol.14 , pp. 235
    • Reshetikhin, N.Yu.1
  • 38
    • 0011466430 scopus 로고
    • Analytical Bethe ansatz for quantum algebra invariant spin chains
    • Mezincescu L. Nepomechie R.I. Analytical Bethe ansatz for quantum algebra invariant spin chains Nucl. Phys. B 372 1992 597
    • (1992) Nucl. Phys. B , vol.372 , pp. 597
    • Mezincescu, L.1    Nepomechie, R.I.2
  • 39
    • 21844493146 scopus 로고
    • Analytic Bethe ansatz for fundamental representations of Yangians
    • Kuniba A. Suzuki J. Analytic Bethe ansatz for fundamental representations of Yangians Commun. Math. Phys. 173 1995 225
    • (1995) Commun. Math. Phys. , vol.173 , pp. 225
    • Kuniba, A.1    Suzuki, J.2
  • 42
    • 0041029475 scopus 로고    scopus 로고
    • (1) open spin chain
    • (1) open spin chain J. Phys. A 33 2000 4755
    • (2000) J. Phys. A , vol.33 , pp. 4755
    • Doikou, A.1
  • 43
    • 0040195955 scopus 로고    scopus 로고
    • Quantum spin chain with "soliton nonpreserving" boundary conditions
    • Doikou A. Quantum spin chain with "soliton nonpreserving" boundary conditions J. Phys. A 33 2000 8797
    • (2000) J. Phys. A , vol.33 , pp. 8797
    • Doikou, A.1
  • 44
    • 0011630061 scopus 로고
    • Partition function of the eight-vertex lattice model
    • Baxter R.J. Partition function of the eight-vertex lattice model Ann. Phys. 70 1972 193
    • (1972) Ann. Phys. , vol.70 , pp. 193
    • Baxter, R.J.1
  • 47
    • 0000344986 scopus 로고
    • New effects in the massive Thirring model: Repulsive case
    • Korepin V.E. New effects in the massive Thirring model: repulsive case Commun. Math. Phys. 76 1980 165
    • (1980) Commun. Math. Phys. , vol.76 , pp. 165
    • Korepin, V.E.1
  • 50
    • 0030574486 scopus 로고    scopus 로고
    • Row transfer matrix functional relations for Baxter's eight-vertex and six-vertex models with open boundaries via more general reflection matrices
    • Zhou Y.-K. Row transfer matrix functional relations for Baxter's eight-vertex and six-vertex models with open boundaries via more general reflection matrices Nucl. Phys. B 458 1996 504
    • (1996) Nucl. Phys. B , vol.458 , pp. 504
    • Zhou, Y.-K.1
  • 51
    • 0032558059 scopus 로고    scopus 로고
    • Bulk and boundary S matrices for the su(N) chain
    • Doikou A. Nepomechie R.I. Bulk and boundary S matrices for the su(N) chain Nucl. Phys. B 521 1998 547
    • (1998) Nucl. Phys. B , vol.521 , pp. 547
    • Doikou, A.1    Nepomechie, R.I.2
  • 52
    • 0032547642 scopus 로고    scopus 로고
    • (1) open spin chain with diagonal boundary fields
    • (1) open spin chain with diagonal boundary fields Nucl. Phys. B 530 1998 641
    • (1998) Nucl. Phys. B , vol.530 , pp. 641
    • Doikou, A.1    Nepomechie, R.I.2
  • 53
    • 0346328477 scopus 로고
    • Direct calculation of the S matrix in the massive Thirring model
    • Korepin V. Direct calculation of the S matrix in the massive Thirring model Theor. Math. Phys. 41 1979 953
    • (1979) Theor. Math. Phys. , vol.41 , pp. 953
    • Korepin, V.1
  • 54
    • 0000457204 scopus 로고
    • Dynamical symmetry breaking and fractionization in a new integrable model
    • Andrei N. Destri C. Dynamical symmetry breaking and fractionization in a new integrable model Nucl. Phys. B 231 1984 445
    • (1984) Nucl. Phys. B , vol.231 , pp. 445
    • Andrei, N.1    Destri, C.2
  • 55
    • 0000796722 scopus 로고
    • Bethe ansatz solution of the Osp(1/2n) invariant spin chain
    • Martins M.J. Bethe ansatz solution of the Osp(1/2n) invariant spin chain Phys. Lett. B 359 1995 334
    • (1995) Phys. Lett. B , vol.359 , pp. 334
    • Martins, M.J.1
  • 57
    • 0042092657 scopus 로고    scopus 로고
    • Functional relations and Bethe ansatz for the XXZ chain
    • hep-th/0211001
    • Nepomechie R.I. Functional relations and Bethe ansatz for the XXZ chain hep-th/0211001
    • Nepomechie, R.I.1
  • 58
    • 0242704955 scopus 로고    scopus 로고
    • Exact solutions and elementary excitations in the XXZ spin chain with unparallel boundary fields
    • cond-mat/0212163
    • Cao J.-P. Lin H.-Q. Shi K.-J. Wang Y. Exact solutions and elementary excitations in the XXZ spin chain with unparallel boundary fields cond-mat/0212163
    • Cao, J.-P.1    Lin, H.-Q.2    Shi, K.-J.3    Wang, Y.4


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