Exact conserved quantities on the cylinder I: Conformal case

Journal of High Energy Physics

Volumn 7, Issue 7, 2003, Pages 751-781

  Fioravanti, Davide ^a   Rossi, Marco ^b  

^a DURHAM UNIVERSITY   (United Kingdom)

^b HERIOT WATT UNIVERSITY   (United Kingdom)

Author keywords

Bethe Ansatz; Conformal and W Symmetry; Integrable Field Theories

Indexed keywords

EID: 23044464035     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2003/07/031     Document Type: Article

References (43)

1. V.V. Bazhanov, S.L. Lukyanov and A.B. Zamolodchikov, Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz, Commun. Math. Phys. 177 (1996) 381 [hep-th/9412229].
2. V.V. Bazhanov, S.L. Lukyanov and A.B. Zamolodchikov, Integrable structure of conformal field theory, 2. Q operator and DDV equation, Commun. Math. Phys. 190 (1997) 247 [hep-th/9604044].
3. C. Destri and H.J. de Vega, New thermodynamic Bethe ansatz equations without strings, Phys. Rev. Lett. 69 (1992) 2313.
4. A. Klümper and P.A. Pearce, Analytic calculation of scaling dimensions: tricritical hard squares and critical hard hexagons, J. Stat. Phys. 64 (1991) 13;
5. A. Klümper, M. Batchelor, P.A. Pearce, Central charges of the 6- and 19-vertex models with twisted boundary conditions, J. Phys. A 24 (1991) 3111.
6. C. Destri and H.J. De Vega, Unified approach to thermodynamic bethe ansatz and finite size corrections for lattice models and field theories, Nucl. Phys. B 438 (1995) 413 [hep-th/9407117];
7. A.B. Zamolodchikov, Thermodynamics of imaginary coupled Sine-Gordon: dense polymer finite size scaling function, Phys. Lett. B 335 (1994) 436.
8. D. Fioravanti, A. Mariottini, E. Quattrini and F. Ravanini, Excited state Destri-de Vega equation for Sine-Gordon and restricted Sine-Gordon models, Phys. Lett. B 390 (1997) 243 [hep-th/9608091].
9. F. Ravanini, Finite size effects in integrable quantum field theories, in Non-perturbative QFT methods and their applications, pp. 199-264, Budapest 2000.
10. D. Fioravanti and M. Rossi, From the braided to the usual Yang-Baxter relation, J. Phys. A 34 (2001) L567 [hep-th/0107050];
11. A braided Yang-Baxter algebra in a theory of two coupled lattice quantum KdV: algebraic properties and ABA representations, J. Phys. A 35 (2002) 3647 [hep-th/0104002].
12. A. Kundu, Exact Bethe ansatz solution of nonultralocal quantum mKdV model, Mod. Phys. Lett. A 10 (1995) 2955 [hep-th/9510131].
13. L. Hlavaty, Quantum braided groups, J. Math. Phys. 35 (1994) 2560 [hep-th/9210152];
14. L. Hlavaty and A. Kundu, Quantum integrability of nonultralocal models through baxterization of quantized braided algebra, Int. J. Mod. Phys. A 11 (1996) 2143 [hep-th/9406215].
15. L.D. Faddeev and O. Tirkkonen, Connections of the Liouville model and XXZ spin chain, Nucl. Phys. B 453 (1995) 647 [hep-th/9506023].
16. A.Y. Volkov, Quantum lattice KdV equation, Lett. Math. Phys. 39 (1997) 313 [hep-th/9509024].
17. R.J. Baxter, Partition function of the eight vertex lattice model, Ann. Phys. (NY) 70 (1972) 193.
18. L.D. Faddeev and A.Y. Volkov, Algebraic quantization of integrable models in discrete space-time, hep-th/9710039.
19. C. Bender, S. Böttcher and P. Meisinger, PT-symmetric quantum mechanics, J. Math. Phys. 40 (1999) 2201 [quant-ph/9809072].
20. P. Dorey and R. Tateo, On the relation between stokes multipliers and the T-Q systems of conformal field theory, Nucl. Phys. B 563 (1999) 573 [hep-th/9906219];
21. V.V. Bazhanov, S.L. Lukyanov and A.B. Zamolodchikov, On nonequilibrium states in QFT model with boundary interaction, Nucl. Phys. B 549 (1999) 529 [hep-th/9812091];
22. Spectral determinants for Schrodinger equation and Q operators of conformal field theory, J. Stat. Phys. 102 (2001) 567 [hep-th/9812247].
23. R. Sasaki and I. Yamanaka, Virasoro algebra, vertex operators, quantum Sine-Gordon and solvable Quantum Field Theories, Adv. Stud. Pure Math. 16 (1988) 271.
24. B. Feigin and E. Frenkel, Free field resolutions in affine toda field theories, Phys. Lett. B 276 (1992) 79;
25. Integrals of motion and quantum groups, Lect. Notes in Math. 1620 Springer Verlag, Berlin 1995.
26. D. Fioravanti, F. Ravanini and M. Stanishkov, Generalized KdV and quantum inverse scattering description of conformal minimal models, Phys. Lett. B 367 (1996) 113 [hep-th/9510047].
27. D. Fioravanti and M. Stanishkov, On the null-vectors in the spectra of the 2d integrable hierarchies, Phys. Lett. B 430 (1998) 109 [hep-th/9806090];
28. Hidden virasoro symmetry of (soliton solutions of) the Sine Gordon theory, Nucl. Phys. B 591 (2000) 685 [hep-th/0005158].
29. V.A. Fateev and S.L. Lukyanov, Poisson Lie groups and classical W algebras, Int. J. Mod. Phys. A 7 (1992) 853;
30. Vertex operators and representations of quantum universal enveloping algebras, Int. J. Mod. Phys. A 7 (1992) 1325.
31. 3 conformal field theory, quantum Boussinesq theory and boundary affine Toda theory, Nucl. Phys. B 622 (2002) 475 [hep-th/0105177].
32. B.L. Feigin and D.B. Fuks, Lect. Notes in Math. 1060 Springer Verlag 1984;
33. V.S. Dotsenko and V.A. Fateev, Conformal algebra and multipoint correlation functions in 2d statistical models, Nucl. Phys. B 240 (1984) 312.
34. N.M. Bogoliubov, On the physical sector of the lattice Sine-Gordon model, Theor. Math. Phys. 51 (1982) 540.
35. C. Destri and H.J. de Vega, Non-linear integral equation and excited-states scaling functions in the Sine-Gordon model, Nucl. Phys. B 504 (1997) 621 [hep-th/9701107].
36. I.S. Gradshteyn and I.M. Ryzhik, Table of integrals, series and products, Fifth edition, Academic Press.
37. H.W.J. Blöte, J.L. Cardy and M.P. Nightingale, Conformal invariance, the central charge and universal finite size amplitudes at criticality, Phys. Rev. Lett. 56 (1986) 742.
38. A. Klümper, Thermodynamics of the anisotropic spin-1/2 Heisenberg chain and related quantum chains, Z. Phys. B91 (1993) 507;
39. A. Klümper, T. Wehner and J. Zittartz, Conformal spectrum of the six-vertex models, J. Phys. A 26 (1993) 2815.
40. P. Dorey, C. Dunning and R. Tateo, Spectral equivalences, Bethe ansatz equations, and reality properties in PT-symmetric quantum mechanics, J. Phys. A 34 (2001) 5679 [hep-th/0103051].
41. M.P. Morse and H. Feshbach, Methods of theoretical physics, McGraw-Hill Book Company, Inc., 1953.
42. D. Fioravanti, G. Mussardo and P. Simon, Universal amplitude ratios of the renormalization group: two-dimensional tricritical Ising model, Phys. Rev. D 63 (2001) 016103 [cond-mat/0008216];
43. 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 [hep-th/9301046].