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Volumn 519, Issue 3, 1998, Pages 597-625

The perturbations φ2,1 and φ1,5 of the minimal models M(p,p′) and the trinomial analogue of Bailey's lemma

Author keywords

Integrable models; Perturbed conformal field theory; Rogers Ramanujan identities

Indexed keywords


EID: 0032565498     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00167-9     Document Type: Article
Times cited : (20)

References (73)
  • 1
    • 0001762107 scopus 로고
    • Higher-order integrals of motion in two-dimensional models of field theory with a broken conformal symmetry
    • [1] A.B. Zamolodchikov, Higher-order integrals of motion in two-dimensional models of field theory with a broken conformal symmetry, JETP Lett. 46 (1987) 160.
    • (1987) JETP Lett. , vol.46 , pp. 160
    • Zamolodchikov, A.B.1
  • 2
    • 0001588392 scopus 로고
    • Integrals of motion in scaling 3-state Potts model field theory
    • [2] A.B. Zamolodchikov, Integrals of motion in scaling 3-state Potts model field theory. Int. J. Mod. Phys. A3 (1988) 743.
    • (1988) Int. J. Mod. Phys. , vol.A3 , pp. 743
    • Zamolodchikov, A.B.1
  • 3
    • 0000333179 scopus 로고
    • Integrable field theory from conformal field theory
    • [3] A.B. Zamolodchikov, Integrable field theory from conformal field theory, Adv. Stud. Pure Math. 19 (1989) 641.
    • (1989) Adv. Stud. Pure Math. , vol.19 , pp. 641
    • Zamolodchikov, A.B.1
  • 4
    • 0021422438 scopus 로고
    • Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
    • [4] G.E. Andrews, R.J. Baxter and P.J. Forrester, Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities, J. Stat. Phys. 35 (1984) 193.
    • (1984) J. Stat. Phys. , vol.35 , pp. 193
    • Andrews, G.E.1    Baxter, R.J.2    Forrester, P.J.3
  • 5
    • 0000765049 scopus 로고
    • Further exact solution of the eight-vertex SOS model and generalizations of the Rogers-Ramanujan identities
    • [5] P.J. Forrester and R.J. Baxter, Further exact solution of the eight-vertex SOS model and generalizations of the Rogers-Ramanujan identities, J. Stat. Phys. 38 (1985) 435.
    • (1985) J. Stat. Phys. , vol.38 , pp. 435
    • Forrester, P.J.1    Baxter, R.J.2
  • 6
    • 36049056498 scopus 로고
    • One-dimensional chain of anisotropic spin-spin interactions. I Proof of Bethe's hypothesis for ground state in a finite system
    • [6] C.N. Yang and C.P. Yang, One-dimensional chain of anisotropic spin-spin interactions. I Proof of Bethe's hypothesis for ground state in a finite system, Phys. Rev. 150 (1966) 321; One-dimensional chain of anisotropic spin-spin interactions. II. Properties of the ground-state energy per lattice site for an infinite system, Phys. Rev. 150 (1966) 327.
    • (1966) Phys. Rev. , vol.150 , pp. 321
    • Yang, C.N.1    Yang, C.P.2
  • 7
    • 36049058064 scopus 로고
    • One-dimensional chain of anisotropic spin-spin interactions. II. Properties of the ground-state energy per lattice site for an infinite system
    • [6] C.N. Yang and C.P. Yang, One-dimensional chain of anisotropic spin-spin interactions. I Proof of Bethe's hypothesis for ground state in a finite system, Phys. Rev. 150 (1966) 321; One-dimensional chain of anisotropic spin-spin interactions. II. Properties of the ground-state energy per lattice site for an infinite system, Phys. Rev. 150 (1966) 327.
    • (1966) Phys. Rev. , vol.150 , pp. 327
  • 8
    • 0000632786 scopus 로고
    • Eight-vertex model in lattice statistics
    • [7] R.J. Baxter, Eight-vertex model in lattice statistics, Phys. Rev. Lett. 26 (1971) 832; One-dimensional anisotropic Heisenberg model, Phys. Rev. Lett. 26 (1971) 834.
    • (1971) Phys. Rev. Lett. , vol.26 , pp. 832
    • Baxter, R.J.1
  • 9
    • 10344226015 scopus 로고
    • One-dimensional anisotropic Heisenberg model
    • [7] R.J. Baxter, Eight-vertex model in lattice statistics, Phys. Rev. Lett. 26 (1971) 832; One-dimensional anisotropic Heisenberg model, Phys. Rev. Lett. 26 (1971) 834.
    • (1971) Phys. Rev. Lett. , vol.26 , pp. 834
  • 10
    • 0001698539 scopus 로고
    • One dimensional anisotropic Heisenberg model at finite temperatures
    • [8] M.Takahashi and M. Suzuki, One dimensional anisotropic Heisenberg model at finite temperatures, Prog. Theor. Phys. 48 (1992) 2187.
    • (1992) Prog. Theor. Phys. , vol.48 , pp. 2187
    • Takahashi, M.1    Suzuki, M.2
  • 11
    • 4243392845 scopus 로고
    • Restricted sine-Gordon theory and the minimal conformal series
    • [9] A. Leclair, Restricted sine-Gordon theory and the minimal conformal series, Phys. Lett. B 230 (1989) 103.
    • (1989) Phys. Lett. B , vol.230 , pp. 103
    • Leclair, A.1
  • 12
    • 0011404695 scopus 로고
    • Reductions of quantum sine-Gordon model as perturbations of minimal models of conformal field theory
    • [10] F.A. Smirnov, Reductions of quantum sine-Gordon model as perturbations of minimal models of conformal field theory, Nucl. Phys. B 337 (1990) 156.
    • (1990) Nucl. Phys. B , vol.337 , pp. 156
    • Smirnov, F.A.1
  • 13
    • 0000030251 scopus 로고
    • Thermodynamic Bethe ansatz for RSOS scattering theories
    • [11] Al.B. Zamolodchikov, Thermodynamic Bethe ansatz for RSOS scattering theories, Nucl. Phys. B 358 (1991) 497; From tricritical Ising to critical Ising by thermodynamic Bethe ansatz, Nucl. Phys. B 358 (1991) 524.
    • (1991) Nucl. Phys. B , vol.358 , pp. 497
    • Zamolodchikov, Al.B.1
  • 14
    • 0042055213 scopus 로고
    • From tricritical Ising to critical Ising by thermodynamic Bethe ansatz
    • [11] Al.B. Zamolodchikov, Thermodynamic Bethe ansatz for RSOS scattering theories, Nucl. Phys. B 358 (1991) 497; From tricritical Ising to critical Ising by thermodynamic Bethe ansatz, Nucl. Phys. B 358 (1991) 524.
    • (1991) Nucl. Phys. B , vol.358 , pp. 524
  • 15
    • 0031548107 scopus 로고    scopus 로고
    • Exact expectation values of local fields in the quantum sine-Gordon model
    • [12] S. Lukyanov and A.B. Zamolodchikov, Exact expectation values of local fields in the quantum sine-Gordon model, Nucl. Phys. B 493 (1997) 571.
    • (1997) Nucl. Phys. B , vol.493 , pp. 571
    • Lukyanov, S.1    Zamolodchikov, A.B.2
  • 17
    • 0001570895 scopus 로고
    • The inverse scattering method approach to the quantum Shabat-Mikhailov model
    • [14] A.G. Izergin and V. Korepin, The inverse scattering method approach to the quantum Shabat-Mikhailov model, Comm. Math. Phys. 79 (1981) 303.
    • (1981) Comm. Math. Phys. , vol.79 , pp. 303
    • Izergin, A.G.1    Korepin, V.2
  • 18
    • 0001039817 scopus 로고
    • Polynomial conserved identities for the sine-Gordon equations
    • [15] R.K. Dodd and R.K. Bullough, Polynomial conserved identities for the sine-Gordon equations, Proc. Roy. Soc. Lond. A 352 (1977) 481.
    • (1977) Proc. Roy. Soc. Lond. A , vol.352 , pp. 481
    • Dodd, R.K.1    Bullough, R.K.2
  • 19
    • 0001363058 scopus 로고
    • Klein-Gordon equations with a non-trivial group
    • [16] A.V. Zhiber and A.B. Shabat, Klein-Gordon equations with a non-trivial group, Sov. Phys. Dokl. 24 (1979) 607; A.V. Mikhailov, Pis'ma Zh. Eksp. Theor. Fiz. 30 (1979) 443.
    • (1979) Sov. Phys. Dokl. , vol.24 , pp. 607
    • Zhiber, A.V.1    Shabat, A.B.2
  • 20
    • 0000691052 scopus 로고
    • [16] A.V. Zhiber and A.B. Shabat, Klein-Gordon equations with a non-trivial group, Sov. Phys. Dokl. 24 (1979) 607; A.V. Mikhailov, Pis'ma Zh. Eksp. Theor. Fiz. 30 (1979) 443.
    • (1979) Pis'ma Zh. Eksp. Theor. Fiz. , vol.30 , pp. 443
    • Mikhailov, A.V.1
  • 21
    • 0000368688 scopus 로고
    • New construction of solvable lattice models including an Ising model in a field
    • [17] S.O. Warnaar, B. Nienhuis and K. Seton, New construction of solvable lattice models including an Ising model in a field, Phys. Rev. Lett. 69 (1992) 710; A critical Ising model in a magnetic field, Int. J. Mod. Phys. B 7 (1993) 3727.
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 710
    • Warnaar, S.O.1    Nienhuis, B.2    Seton, K.3
  • 22
    • 0000368688 scopus 로고
    • A critical Ising model in a magnetic field
    • [17] S.O. Warnaar, B. Nienhuis and K. Seton, New construction of solvable lattice models including an Ising model in a field, Phys. Rev. Lett. 69 (1992) 710; A critical Ising model in a magnetic field, Int. J. Mod. Phys. B 7 (1993) 3727.
    • (1993) Int. J. Mod. Phys. B , vol.7 , pp. 3727
  • 23
    • 0002350309 scopus 로고
    • On the construction of integrable dilute ADE models
    • [18] Ph. Roche, On the construction of integrable dilute ADE models, Phys. Lett. B 285 (1992) 49.
    • (1992) Phys. Lett. B , vol.285 , pp. 49
    • Roche, Ph.1
  • 24
    • 34249767790 scopus 로고
    • Order parameters of the dilute A models
    • [19] S.O. Warnaar, P.A. Pearce, K.A. Seaton and B. Nienhuis, Order parameters of the dilute A models, J. Stat. Phys. 74 (1994) 469; K.A. Seaton and L.C. Scott, q-Trinomial coefficients and the dilute A model, J. Phys. A 30 (1997) 7667.
    • (1994) J. Stat. Phys. , vol.74 , pp. 469
    • Warnaar, S.O.1    Pearce, P.A.2    Seaton, K.A.3    Nienhuis, B.4
  • 25
    • 0041107214 scopus 로고    scopus 로고
    • q-Trinomial coefficients and the dilute A model
    • [19] S.O. Warnaar, P.A. Pearce, K.A. Seaton and B. Nienhuis, Order parameters of the dilute A models, J. Stat. Phys. 74 (1994) 469; K.A. Seaton and L.C. Scott, q-Trinomial coefficients and the dilute A model, J. Phys. A 30 (1997) 7667.
    • (1997) J. Phys. A , vol.30 , pp. 7667
    • Seaton, K.A.1    Scott, L.C.2
  • 27
    • 0001247719 scopus 로고
    • 1,2 perturbed minimal models of conformal field theory
    • 1,2 perturbed minimal models of conformal field theory, Int. J. Mod. Phys. A 6 (1991) 1407.
    • (1991) Int. J. Mod. Phys. A , vol.6 , pp. 1407
    • Smirnov, F.A.1
  • 28
    • 0001219217 scopus 로고
    • The subleading magnetic deformation of the tricritical Ising model in two dimensions as RSOS restrictions of the Izergin-Korepin model
    • [22] F. Colomo, A. Koubek and G, Mussardo, The subleading magnetic deformation of the tricritical Ising model in two dimensions as RSOS restrictions of the Izergin-Korepin model, Phys. Lett. B 274 (1992) 367; On the S-matrix of the subleading magnetic deformation of the tricritical Ising model in two dimensions, Int. J. Mod. Phys. A 7 (1992) 5281.
    • (1992) Phys. Lett. B , vol.274 , pp. 367
    • Colomo, F.1    Koubek, A.2    Mussardo, G.3
  • 29
    • 0000591839 scopus 로고
    • On the S-matrix of the subleading magnetic deformation of the tricritical Ising model in two dimensions
    • [22] F. Colomo, A. Koubek and G, Mussardo, The subleading magnetic deformation of the tricritical Ising model in two dimensions as RSOS restrictions of the Izergin-Korepin model, Phys. Lett. B 274 (1992) 367; On the S-matrix of the subleading magnetic deformation of the tricritical Ising model in two dimensions, Int. J. Mod. Phys. A 7 (1992) 5281.
    • (1992) Int. J. Mod. Phys. A , vol.7 , pp. 5281
  • 31
    • 0001260434 scopus 로고
    • 1,2 perturbed minimal models; IRF formulation and bootstrap program
    • 1,2 perturbed minimal models; IRF formulation and bootstrap program, Int. J. Mod. Phys. A 9 (1994) 1909.
    • (1994) Int. J. Mod. Phys. A , vol.9 , pp. 1909
    • Koubek, A.1
  • 32
    • 0032559526 scopus 로고    scopus 로고
    • Thermodynamic Bethe ansatz for the subleading magnetic perturbation of the tricritical Ising model
    • [25] R.M. Ellem and V.V. Bazhanov, Thermodynamic Bethe ansatz for the subleading magnetic perturbation of the tricritical Ising model, Nucl. Phys. B 512 (1998) 563.
    • (1998) Nucl. Phys. B , vol.512 , pp. 563
    • Ellem, R.M.1    Bazhanov, V.V.2
  • 33
    • 0000363878 scopus 로고
    • Thermodynqtmic Bethe ansatz in relativistic models: Scaling 3-state Potts and Lee-Yang models
    • [26] Al.B. Zamolodchikov, Thermodynqtmic Bethe ansatz in relativistic models: scaling 3-state Potts and Lee-Yang models, Nucl. Phys. B 342 (1990) 695.
    • (1990) Nucl. Phys. B , vol.342 , pp. 695
    • Zamolodchikov, Al.B.1
  • 34
    • 0001613270 scopus 로고
    • Exact resonance ADE S-matrices and their renormalization group trajectories
    • [27] M.J. Martins, Exact resonance ADE S-matrices and their renormalization group trajectories, Nucl. Phys. B 394 (1993) 339.
    • (1993) Nucl. Phys. B , vol.394 , pp. 339
    • Martins, M.J.1
  • 35
    • 0000439399 scopus 로고    scopus 로고
    • Generalized KdV and quantum inverse scattering description of conformal minimal models
    • [28] D. Fioravanti, F. Ravanini and M. Stanishkov, Generalized KdV and quantum inverse scattering description of conformal minimal models, Phys. Lett. B 367 (1996) 113.
    • (1996) Phys. Lett. B , vol.367 , pp. 113
    • Fioravanti, D.1    Ravanini, F.2    Stanishkov, M.3
  • 36
    • 0000670521 scopus 로고    scopus 로고
    • Integrable perturbation of CFT with complex parameter: The M(3,5) model and its generalizations
    • [29] F. Ravanini, M. Stanishkov and R. Tateo, Integrable perturbation of CFT with complex parameter: the M(3,5) model and its generalizations, Int. J. Mod. Phys. A 11 (1996) 677.
    • (1996) Int. J. Mod. Phys. A , vol.11 , pp. 677
    • Ravanini, F.1    Stanishkov, M.2    Tateo, R.3
  • 37
    • 0031557494 scopus 로고    scopus 로고
    • 1,5 perturbations of non-unitary minimal models
    • 1,5 perturbed models and unitarity, Nucl. Phys. B 489 (1997) 557.
    • (1997) Nucl. Phys. B , vol.489 , pp. 532
    • Takacs, G.1
  • 40
    • 0003188396 scopus 로고
    • Eigenvalue spectrum of the superintegrable chiral Potts model
    • ed. M. Jimbo, T. Miwa and A. Tsuchiya Kinokuniya-Academic Press, Tokyo
    • [32] G. Albertini, B.M. McCoy and J.H.H. Perk, Eigenvalue spectrum of the superintegrable chiral Potts model, Adv. Stud. Pure Math. Vol. 19, ed. M. Jimbo, T. Miwa and A. Tsuchiya (Kinokuniya-Academic Press, Tokyo 1989); G. Albertini, B.M. McCoy and J.H.H. Perk, Commensurate-incommensurate transition in the ground state of the superintegrable chiral Potts model, Phys. Lett. A 135 (1989) 159.
    • (1989) Adv. Stud. Pure Math. , vol.19
    • Albertini, G.1    McCoy, B.M.2    Perk, J.H.H.3
  • 41
    • 24244465289 scopus 로고
    • Commensurate-incommensurate transition in the ground state of the superintegrable chiral Potts model
    • [32] G. Albertini, B.M. McCoy and J.H.H. Perk, Eigenvalue spectrum of the superintegrable chiral Potts model, Adv. Stud. Pure Math. Vol. 19, ed. M. Jimbo, T. Miwa and A. Tsuchiya (Kinokuniya-Academic Press, Tokyo 1989); G. Albertini, B.M. McCoy and J.H.H. Perk, Commensurate-incommensurate transition in the ground state of the superintegrable chiral Potts model, Phys. Lett. A 135 (1989) 159.
    • (1989) Phys. Lett. A , vol.135 , pp. 159
    • Albertini, G.1    McCoy, B.M.2    Perk, J.H.H.3
  • 43
    • 0001927173 scopus 로고
    • Fermionic sum representations for conformal field theory characters
    • [34] R. Kedem, T.R. Klassen, B.M. McCoy and E. Melzer, Fermionic sum representations for conformal field theory characters, Phys. Lett. B 307 (1993) 68.
    • (1993) Phys. Lett. B , vol.307 , pp. 68
    • Kedem, R.1    Klassen, T.R.2    McCoy, B.M.3    Melzer, E.4
  • 45
    • 3943106507 scopus 로고
    • Fermionic counting of RSOS states and Virasoro character formulas for the unitary minimal series M(v,v + 1)
    • [36] A. Berkovich, Fermionic counting of RSOS states and Virasoro character formulas for the unitary minimal series M(v,v + 1), Nucl. Phys. B 431 (1994) 315.
    • (1994) Nucl. Phys. B , vol.431 , pp. 315
    • Berkovich, A.1
  • 46
    • 0001011048 scopus 로고    scopus 로고
    • Fermionic solution of the Andrews-Baxter-Forrester model I. Unification of the TBA and CTM methods
    • [37] S.O. Warnaar, Fermionic solution of the Andrews-Baxter-Forrester model I. Unification of the TBA and CTM methods, J. Stat. Phys. 82 (1996) 657.
    • (1996) J. Stat. Phys. , vol.82 , pp. 657
    • Warnaar, S.O.1
  • 47
    • 0002195290 scopus 로고    scopus 로고
    • Continued fractions and fermionic representations for characters of M(p,p′) minimal models
    • [38] A. Berkovich and B.M. McCoy, Continued fractions and fermionic representations for characters of M(p,p′) minimal models, Lett. Math. Phys. 37 (1996) 49.
    • (1996) Lett. Math. Phys. , vol.37 , pp. 49
    • Berkovich, A.1    McCoy, B.M.2
  • 48
    • 0000114390 scopus 로고    scopus 로고
    • Rogers-Schur-Ramanujan type identities for the M(p,p′) minimal models of conformal field theory
    • [39] A. Berkovich, B.M. McCoy and A. Schilling, Rogers-Schur-Ramanujan type identities for the M(p,p′) minimal models of conformal field theory, Comm. Math. Phys. 191 (1998) 325.
    • (1998) Comm. Math. Phys. , vol.191 , pp. 325
    • Berkovich, A.1    McCoy, B.M.2    Schilling, A.3
  • 49
    • 85030045931 scopus 로고    scopus 로고
    • A trinomial analogue of Bailey's lemma and N = 2 superconformal invariance
    • (in press), q-alg 9702008
    • [40] G. Andrews and A. Berkovich, A trinomial analogue of Bailey's lemma and N = 2 superconformal invariance, Comm. Math. Phys. (in press), q-alg 9702008.
    • Comm. Math. Phys.
    • Andrews, G.1    Berkovich, A.2
  • 51
    • 0002959773 scopus 로고    scopus 로고
    • Fermionic solution of the Andrews-Baxter-Forrester model II: Proof of Melzer's polynomial identities
    • [42] S.O. Warnaar, Fermionic solution of the Andrews-Baxter-Forrester model II: Proof of Melzer's polynomial identities, J. Stat. Phys. 84 (1996) 49.
    • (1996) J. Stat. Phys. , vol.84 , pp. 49
    • Warnaar, S.O.1
  • 52
    • 0001463962 scopus 로고    scopus 로고
    • A note on the trinomial analogue of Bailey's lemma
    • [43] S.O. Warnaar, A note on the trinomial analogue of Bailey's lemma, J. Comb. Theor. A 81 (1998) 114.
    • (1998) J. Comb. Theor. A , vol.81 , pp. 114
    • Warnaar, S.O.1
  • 53
    • 84960571915 scopus 로고
    • Some identities in combinatory analysis
    • [44] W.N. Bailey, Some identities in combinatory analysis Proc. London Math. Soc. (2) 49 (1947) 421; Identities of the Rogers-Ramanujan type, Proc. London Math. Soc. (2) 50 (1949) 1.
    • (1947) Proc. London Math. Soc. , vol.49 , Issue.2 , pp. 421
    • Bailey, W.N.1
  • 54
    • 0002989223 scopus 로고
    • Identities of the Rogers-Ramanujan type
    • [44] W.N. Bailey, Some identities in combinatory analysis Proc. London Math. Soc. (2) 49 (1947) 421; Identities of the Rogers-Ramanujan type, Proc. London Math. Soc. (2) 50 (1949) 1.
    • (1949) Proc. London Math. Soc. , vol.50 , Issue.2 , pp. 1
  • 55
    • 0001177444 scopus 로고
    • Lattice gas generalizations of the hard-hexagon model III. Q-trinomial coefficients
    • [45] G.E. Andrews and R.J. Baxter, Lattice gas generalizations of the hard-hexagon model III. q-trinomial coefficients, J. Stat. Phys. 47 (1987) 297.
    • (1987) J. Stat. Phys. , vol.47 , pp. 297
    • Andrews, G.E.1    Baxter, R.J.2
  • 57
    • 0030582009 scopus 로고    scopus 로고
    • M+N conformal coset models
    • M+N conformal coset models, Nucl. Phys. B 467 (1996) 247.
    • (1996) Nucl. Phys. B , vol.467 , pp. 247
    • Schilling, A.1
  • 58
    • 0002997338 scopus 로고
    • The exact relations between the coupling constants and the masses of particles for the integrable perturbed conformal field theories
    • [48] V.A. Fateev, The exact relations between the coupling constants and the masses of particles for the integrable perturbed conformal field theories, Phys. Lett. B 324 (1994) 45.
    • (1994) Phys. Lett. B , vol.324 , pp. 45
    • Fateev, V.A.1
  • 59
    • 85033538323 scopus 로고    scopus 로고
    • Supernomial coefficients, polynomial identities and q-series
    • in press
    • [49] A. Schilling and S.O.Wamaar, Supernomial coefficients, polynomial identities and q-series, The Ramanujan Journal (in press).
    • The Ramanujan Journal
    • Schilling, A.1    Wamaar, S.O.2
  • 60
    • 0039270718 scopus 로고    scopus 로고
    • Polynomial identities, indices, and duality for the N = 1 supersymmetric models SM(2,4v)
    • [50] A. Berkovich, B.M. McCoy and W.P. Orrick, Polynomial identities, indices, and duality for the N = 1 supersymmetric models SM(2,4v), J. Stat. Phys. 83 (1996) 795.
    • (1996) J. Stat. Phys. , vol.83 , pp. 795
    • Berkovich, A.1    McCoy, B.M.2    Orrick, W.P.3
  • 61
    • 0003287543 scopus 로고
    • q-Trinomial coefficients and Rogers-Ramanujan type identities
    • ed. B. Berndt et al. Boston, Birkhaüser
    • [51] G.E. Andrews, q-Trinomial coefficients and Rogers-Ramanujan type identities, in Analytic Number Theory, ed. B. Berndt et al. (Boston, Birkhaüser, 1990) 1.
    • (1990) Analytic Number Theory , pp. 1
    • Andrews, G.E.1
  • 62
    • 0004205061 scopus 로고
    • Cambridge University Press, Cambridge
    • [52] P.A. MacMahon, Combinatory Analysis, Vol. 2 (Cambridge University Press, Cambridge, 1916).
    • (1916) Combinatory Analysis , vol.2
    • MacMahon, P.A.1
  • 63
    • 0002259360 scopus 로고
    • Ein beitrag zur additiven zahlentheorie und zur theorie der kettenbrüche, S-B. Preuss
    • [53] I.J. Schur, Ein Beitrag zur additiven Zahlentheorie und zur Theorie der Kettenbrüche, S-B. Preuss, Akad. Wiss. Phys.-Math, Kl. (1917) 302.
    • (1917) Akad. Wiss. Phys.-Math, Kl. , pp. 302
    • Schur, I.J.1
  • 64
    • 0000452248 scopus 로고
    • A polynomial identity which implies the Rogers-Ramanujan identities
    • [54] G.E. Andrews, A polynomial identity which implies the Rogers-Ramanujan identities, Scripta Mathematica. 28 (1970) 297.
    • (1970) Scripta Mathematica. , vol.28 , pp. 297
    • Andrews, G.E.1
  • 65
    • 0000585207 scopus 로고
    • Restricted partition identities
    • [55] W.H. Burge, Restricted partition identities, J. Comb. Theor. A 63 (1993) 210.
    • (1993) J. Comb. Theor. A , vol.63 , pp. 210
    • Burge, W.H.1
  • 67
    • 4244094575 scopus 로고
    • Vertical-arrow correlation length in the eight-vertex model and the low-lying excitations of the X-Y-Z Hamiltonian
    • [57] J.D. Johnson, S. Krinsky and B.M. McCoy, Vertical-arrow correlation length in the eight-vertex model and the low-lying excitations of the X-Y-Z Hamiltonian, Phys. Rev. A 8 (1973) 2526.
    • (1973) Phys. Rev. A , vol.8 , pp. 2526
    • Johnson, J.D.1    Krinsky, S.2    McCoy, B.M.3
  • 68
    • 35949026082 scopus 로고
    • Eigenvalue spectrum of interacting massive fermions in one dimension
    • [58] A. Luther, Eigenvalue spectrum of interacting massive fermions in one dimension, Phys. Rev. B 14 (1976) 2153.
    • (1976) Phys. Rev. B , vol.14 , pp. 2153
    • Luther, A.1
  • 69
    • 0000535556 scopus 로고
    • Dynamical charges in the quantized renormalized massive Thirring model
    • [59] M. Lüscher, Dynamical charges in the quantized renormalized massive Thirring model, Nucl. Phys. B 117 (1976) 475.
    • (1976) Nucl. Phys. B , vol.117 , pp. 475
    • Lüscher, M.1
  • 70
    • 0001653696 scopus 로고
    • Exact results in the two-dimensional U(1) symmetric Thirring model
    • [60] G.I. Japaridze, A.A. Nersesyan and P.B. Wiegmann, Exact results in the two-dimensional U(1) symmetric Thirring model, Nucl. Phys. B 230 [FS10] (1984) 511.
    • (1984) Nucl. Phys. B , vol.230 , Issue.FS10 , pp. 511
    • Japaridze, G.I.1    Nersesyan, A.A.2    Wiegmann, P.B.3
  • 71
    • 0000344986 scopus 로고
    • The mass spectrum and the S-matrix of the massive Thirring model in the repulsive case
    • [61] V.E. Korepin, The mass spectrum and the S-matrix of the massive Thirring model in the repulsive case, Comm. Math. Phys. 76 (1980) 165.
    • (1980) Comm. Math. Phys. , vol.76 , pp. 165
    • Korepin, V.E.1
  • 72
    • 0000544678 scopus 로고
    • The lattice quantum sine-Gordon equation
    • [62] A.G. Izergin and V. Korepin, The lattice quantum sine-Gordon equation, Lett. Math. Phys. 5 (1981) 199.
    • (1981) Lett. Math. Phys. , vol.5 , pp. 199
    • Izergin, A.G.1    Korepin, V.2
  • 73
    • 0010175633 scopus 로고
    • Structure of the vacuum in the quantum sine-Gordon model
    • [63] N.M. Bogolyubov and V.E. Korepin, Structure of the vacuum in the quantum sine-Gordon model, Phys. Lett. B 159 (1985) 345.
    • (1985) Phys. Lett. B , vol.159 , pp. 345
    • Bogolyubov, N.M.1    Korepin, V.E.2


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