메뉴 건너뛰기




Volumn 35, Issue 47, 2002, Pages 10015-10032

A generalized Q-operator for Uq(S-frakturl2) vertex models

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0041880613     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/47/304     Document Type: Article
Times cited : (43)

References (30)
  • 1
    • 36049056500 scopus 로고
    • Residual entropy of square ice
    • Lieb E H 1967 Residual entropy of square ice Phys. Rev. 162 162-72
    • (1967) Phys. Rev. , vol.162 , pp. 162-172
    • Lieb, E.H.1
  • 2
    • 4243995511 scopus 로고
    • Exact solution of the F model of an antiferroelectric
    • Lieb E H 1967 Exact solution of the F model of an antiferroelectric Phys. Rev. Lett. 18 1046-8
    • (1967) Phys. Rev. Lett. , vol.18 , pp. 1046-1048
    • Lieb, E.H.1
  • 3
    • 33744705565 scopus 로고
    • Exact solution of the two-dimensional slater KDP model of a ferroelectric
    • Lieb E H 1967 Exact solution of the two-dimensional Slater KDP model of a ferroelectric Phys. Rev. Lett. 19 108-10
    • (1967) Phys. Rev. Lett. , vol.19 , pp. 108-110
    • Lieb, E.H.1
  • 4
    • 0000510582 scopus 로고
    • Exact solution of a two-dimensional model for hydrogen-bonded crystals
    • Sutherland B 1967 Exact solution of a two-dimensional model for hydrogen-bonded crystals Phys. Rev. Lett. 19 103-4
    • (1967) Phys. Rev. Lett. , vol.19 , pp. 103-104
    • Sutherland, B.1
  • 5
    • 0011630061 scopus 로고
    • Partition function of the eight-vertex lattice model
    • Baxter R J 1972 Partition function of the eight-vertex lattice model Ann. Phys. 70 193-228
    • (1972) Ann. Phys. , vol.70 , pp. 193-228
    • Baxter, R.J.1
  • 6
    • 0002152395 scopus 로고
    • Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain: I. Some fundamental eigenvectors
    • Baxter R J 1973 Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain: I. Some fundamental eigenvectors Ann. Phys. 76 1-24
    • (1973) Ann. Phys. , vol.76 , pp. 1-24
    • Baxter, R.J.1
  • 7
    • 49549172862 scopus 로고
    • Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain: II. Equivalence to a generalized ice-type model
    • Baxter R J 1973 Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain: II. Equivalence to a generalized ice-type model Ann. Phys. 76 25-47
    • (1973) Ann. Phys. , vol.76 , pp. 25-47
    • Baxter, R.J.1
  • 8
    • 49549168660 scopus 로고
    • Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain: III. Eigenvectors of the transfer matrix and Hamiltonian
    • Baxter R J 1973 Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain: III. Eigenvectors of the transfer matrix and Hamiltonian Ann. Phys. 76 48-71
    • (1973) Ann. Phys. , vol.76 , pp. 48-71
    • Baxter, R.J.1
  • 10
    • 84901244244 scopus 로고
    • The quantum method of the inverse problem and the Heisenberg XYZ model
    • Takhtadzhan L A and Faddeev L D 1979 The quantum method of the inverse problem and the Heisenberg XYZ model Russ. Math. Surv. 34 511-68
    • (1979) Russ. Math. Surv. , vol.34 , pp. 511-568
    • Takhtadzhan, L.A.1    Faddeev, L.D.2
  • 11
    • 33645677331 scopus 로고
    • The periodic toda chain and a matrix generalization of the bessel function recursion relations
    • Pasquier V and Gaudin M 1992 The periodic Toda chain and a matrix generalization of the Bessel function recursion relations J. Phys. A: Math. Gen. 25 5243-52
    • (1992) J. Phys. A: Math. Gen. , vol.25 , pp. 5243-5252
    • Pasquier, V.1    Gaudin, M.2
  • 12
    • 0031549912 scopus 로고    scopus 로고
    • Integrable structure of conformal field theory: II. Q-operator and DDV equation
    • Bazhanov V V, Lukyanov S L and Zamolodchikov A B 1997 Integrable structure of conformal field theory: II. Q-operator and DDV equation Commun. Math. Phys. 190 247-78
    • (1997) Commun. Math. Phys. , vol.190 , pp. 247-278
    • Bazhanov, V.V.1    Lukyanov, S.L.2    Zamolodchikov, A.B.3
  • 13
    • 0043016617 scopus 로고    scopus 로고
    • Quantum group representations and the Baxter equation
    • Antonov A and Feigin B 1997 Quantum group representations and the Baxter equation Phys. Lett. B 392 115-22
    • (1997) Phys. Lett. B , vol.392 , pp. 115-122
    • Antonov, A.1    Feigin, B.2
  • 14
    • 0039446339 scopus 로고    scopus 로고
    • Baxter's Q-operator for the homogenous XXX spin chain
    • Derkachov S E 1999 Baxter's Q-operator for the homogenous XXX spin chain J. Phys. A: Math. Gen. 28 5299-316
    • (1999) J. Phys. A: Math. Gen. , vol.28 , pp. 5299-5316
    • Derkachov, S.E.1
  • 15
    • 0034349098 scopus 로고    scopus 로고
    • On the Baxter's Q-operator for the XXX spin chain
    • Pronko G P 2000 On the Baxter's Q-operator for the XXX spin chain Commun. Math. Phys. 212 687-701
    • (2000) Commun. Math. Phys. , vol.212 , pp. 687-701
    • Pronko, G.P.1
  • 16
    • 0034711196 scopus 로고    scopus 로고
    • On the Baxter's Q-operator for toda chain
    • Pronko G P 2000 On the Baxter's Q-operator for Toda chain J. Phys. A: Math. Gen. 33 8251-66
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 8251-8266
    • Pronko, G.P.1
  • 18
    • 0037177784 scopus 로고    scopus 로고
    • A braided Yang-Baxter algebra in a theory of two coupled lattice quantum KdV: Algebraic properties and ABA representations
    • Fioravanti D and Rossi M 2002 A braided Yang-Baxter algebra in a theory of two coupled lattice quantum KdV: algebraic properties and ABA representations J. Phys. A: Math. Gen. 35 3647-82
    • (2002) J. Phys. A: Math. Gen. , vol.35 , pp. 3647-3682
    • Fioravanti, D.1    Rossi, M.2
  • 19
    • 0033600680 scopus 로고    scopus 로고
    • Anharmonic oscillators, the thermodynamic bethe ansatz and nonlinear integral equations
    • Dorey P and Tateo R 1999 Anharmonic oscillators, the thermodynamic Bethe ansatz and nonlinear integral equations J. Phys. A: Math. Gen. 38 L419-L425
    • (1999) J. Phys. A: Math. Gen. , vol.38
    • Dorey, P.1    Tateo, R.2
  • 20
    • 0035534191 scopus 로고    scopus 로고
    • Spectral determinants for Schrödinger equation and Q-operators of conformal field theory
    • Bazhanov V V, Lukyanov S I, and Zamolodchikov Al B 2001 Spectral determinants for Schrödinger equation and Q-operators of conformal field theory J, Stqt. Phys. 102 567-76; Bazhanov V V, Lukyanov S L and Zamolodchikov Al B 2000 Proc. Baxter Revolution in Mathematical Physics (Canberra, 2000)
    • (2001) J. Stqt. Phys. , vol.102 , pp. 567-576
    • Bazhanov, V.V.1    Lukyanov, S.I.2    Zamolodchikov, Al.B.3
  • 22
    • 0033590228 scopus 로고    scopus 로고
    • On the relation between stokes multipliers and the T-Q systems of conformal field theory
    • Dorey P and Tateo R 1999 On the relation between Stokes multipliers and the T-Q systems of conformal field theory Nucl. Phys. B 563 573-602
    • (1999) Nucl. Phys. B , vol.563 , pp. 573-602
    • Dorey, P.1    Tateo, R.2
  • 25
    • 0001663460 scopus 로고
    • Functional relations in solvable lattice models: I. Functional relations and representation theory
    • Kuniba A, Nakanishi T and Suzuki J 1994 Functional relations in solvable lattice models: I. Functional relations and representation theory Int. J. Mod. Phys. A 9 5215-66
    • (1994) Int. J. Mod. Phys. A , vol.9 , pp. 5215-5266
    • Kuniba, A.1    Nakanishi, T.2    Suzuki, J.3
  • 27
    • 0011522466 scopus 로고
    • Contraction of quantum algebras, and q-oscillators
    • Kulish P P 199 J Contraction of quantum algebras, and q-oscillators Theor. Math. Phys. 86 108-10
    • (1991) Theor. Math. Phys. , vol.86 , pp. 108-110
    • Kulish, P.P.1
  • 28
    • 0011498783 scopus 로고
    • Berkeley, CA: American Mathematical Society
    • Drinfeld V G 1986 Proc. ICM (Berkeley, CA: American Mathematical Society)
    • (1986) Proc. ICM
    • Drinfeld, V.G.1
  • 29
    • 0035537477 scopus 로고    scopus 로고
    • Completing Bethe's equations at roots of unity
    • Fabricius K and McCoy B 2001 Completing Bethe's equations at roots of unity J. Stat. Phys. 104 573-87
    • (2001) J. Stat. Phys. , vol.104 , pp. 573-587
    • Fabricius, K.1    McCoy, B.2
  • 30
    • 0041995050 scopus 로고    scopus 로고
    • On the Baxter's Q-operator for toda chain
    • Pronko G and Sergeev S 2001 On the Baxter's Q-operator for Toda chain J. Appl. Math. 1 47-68
    • (2001) J. Appl. Math. , vol.1 , pp. 47-68
    • Pronko, G.1    Sergeev, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.