On the relation between Φ (1,2) and Φ (1,5) perturbed minimal models and unitarity

Nuclear Physics B

Volumn 489, Issue 3, 1997, Pages 557-579

  Kausch, Horst ^a   Takács, Gábor ^b   Watts, Gérard ^a  

^a KING'S COLLEGE LONDON   (United Kingdom)

^b EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

Integrable models; Perturbed conformal field theory; Thermodynamic bethe ansatz; Truncated conformal space approach

Indexed keywords

EID: 0031557534     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00056-4     Document Type: Article

References (27)

1. [1] G. Takács, Nucl. Phys. B 489 (1997) 532 (preceding article in this issue), hep-th/9604098.
2. [2] T. Hollowood and P. Mansfield, Rational Conformal Field Theory at, and away from criticality, as Toda Field Theories, Phys. Lett. B 226 (1989) 73.
3. [3] D. Bernard and A. LeClair, Quantum Group Symmetries and non-local Currents in 2D QFT, Commun. Math. Phys. 142 (1991) 99.
4. [4] F.A. Smirnov, Exact S-matrices for φ1,2 perturbed minimal models of conformal field theory, Int. J. Mod. Phys. A 6 (1991) 1407.
5. [5] A. Koubek, S-matrices of φ 1,2-perturbed minimal models, IRF formulation and bootstrap program, Int. J. Mod. Phys. A 9 (1994) 1909-1927, hep-th/9211134.
6. [6] A. Koubek, M.J. Martins and G. Mussardo, Scattering matrices for φ 1,2 perturbed conformal minimal models in absence of kink states, Nucl. Phys. B 368 (1992) 591.
7. [7] M.J. Martins. Constructing an S-matrix from the truncated conformal approach data, Phys. Lett. B 262 (1991) 39.
8. [8] P.E. Dorey and R. Tateo, Excited states by analytic continuation of TBA equations, Durham preprint DTP-96/29, hep-th/9607167; V.V. Bazhanov, S.L. Lukyanov and A.B. Zamolodchikov, Integrable quantum field theories in finite volume: excited state energies, Preprint CLNS 96/1416, hep-th/9607099.
9. [8] P.E. Dorey and R. Tateo, Excited states by analytic continuation of TBA equations, Durham preprint DTP-96/29, hep-th/9607167; V.V. Bazhanov, S.L. Lukyanov and A.B. Zamolodchikov, Integrable quantum field theories in finite volume: excited state energies, Preprint CLNS 96/1416, hep-th/9607099.
10. [9] V.P. Yurov and Al.B. Zamolodchikov, Truncated conformal space approach to scaling Lee-Yang model, Int. J. Mod. Phys. A 5 (1990) 3221.
11. [10] A.A. Belavin, A.M. Polyakov and A.B. Zamolodchikov, Infinite conformal symmetry in two-dimensional quantum field theory, Nucl. Phys. B 241 (1984) 333.
12. [11] G. Felder, BRST Approach to Minimal Models, Nucl. Phys. B 317 (1989) 215.
13. [12] Vl.S. Dotsenko and V.A. Fateev, Conformal algebra and multipoint correlation functions in 2D statistical models, Nucl. Phys. B 240 [FS 12] (1984) 312; Four-point correlation functions and the operator product algebra in 2D conformal invariant theories with central charge C < 1, Nucl. Phys. B 251 [FS 13] (1985) 691.
14. [12] Vl.S. Dotsenko and V.A. Fateev, Conformal algebra and multipoint correlation functions in 2D statistical models, Nucl. Phys. B 240 [FS 12] (1984) 312; Four-point correlation functions and the operator product algebra in 2D conformal invariant theories with central charge C < 1, Nucl. Phys. B 251 [FS 13] (1985) 691.
15. [13] T. Eguchi and S.-K. Yang, Sine-Gordon theory at rational values of the coupling constant and minimal conformal models, Phys. Lett. B 235 (1990) 282.
16. [14] G. Felder and A. LeClair, Restricted quantum affine symmetry of perturbed minimal conformal models, Int. J. Mod. Phys. A 7 (Proc. Suppl.) 239, hep-th/9109019; V. Pasquier and H. Saleur, Common structures between finite systems and conformal field theories through quantum groups, Nucl. Phys. B 330 (1990) 523.
17. [14] G. Felder and A. LeClair, Restricted quantum affine symmetry of perturbed minimal conformal models, Int. J. Mod. Phys. A 7 (Proc. Suppl.) 239, hep-th/9109019; V. Pasquier and H. Saleur, Common structures between finite systems and conformal field theories through quantum groups, Nucl. Phys. B 330 (1990) 523.
18. [15] F.A. Smirnov, The perturbated c < 1 conformal field theories as reductions of sine-Gordon models, Int. J. Mod. Phys. A 4 (1989) 4213.
19. [16] A. LeClair, Restricted sine-Gordon theory and the minimal conformal series, Phys. Lett. B 320 (1989) 103.
20. [17] T.R. Klassen and E. Melzer, The thermodynamics of purely elastic scattering theories and conformal perturbation theory, Nucl. Phys. B 350 (1991) 635.
21. [18] Al.B. Zamolodchikov, Thermodynamic Bethe ansatz in relativistic models, scaling 3-state Potts and Lee-Yang models, Nucl. Phys. B 342 (1990) 695.
22. [19] G. Sotkov and C.J. Zhu, Bootstrap fusions and tricritical Potts model away from criticality, Phys. Lett. B 229 (1989) 391.
23. [20] M. Lässig, G. Mussardo and J.L. Cardy, The scaling region of the tricritical Ising model in two dimensions, Nucl. Phys. B 348 (1991) 591.
24. [21] A. Koubek, A method to determine the operator content of perturbed conformal field theories, Phys. Lett. B 346 (1995) 275, hep-th/9501028.
25. [22] M. Rocha-Caridi, Vacuum vector representations of the Virasoro algebra, in Vertex Operators in Mathematics and Physics, MRSI publication #3, Springer (1984), 451.
26. [23] V. Petkova and J.-B. Zuber, On structure constants of sl (2) theories, Nucl. Phys. B 438 (1995) 347, hep-th/9410209.
27. 2 affine Toda solitons, Nucl. Phys. B 449 (1995) 375, hep-th/9501136.