Non-trivial extension of the (1 + 2)-Poincaré algebra and conformal invariance on the boundary of AdS3

European Physical Journal C

Volumn 21, Issue 4, 2001, Pages 735-747

  Benkaddour, I ^a   El Rhalami, A ^a   Saidi, E H ^a  

^a FACULTÉ DES SCIENCES   (Morocco)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039248546     PISSN: 14346044     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100520100769     Document Type: Article

References (47)

1. M. Rausch de Traubenberg, M.J. Slupinski, Mod. Phys. Lett. A 12, 3051 (1997)
2. D. Friedan, Z. Qiu, S. Shenker, Phys. Rev. Lett. 52, 1575 (1984)
3. G. Mussardo, P. Simonetti, Int. J. Mod. Phys. A 9, 3307 (1994); S. Cecotti, C. Vafa, Commun. Math. Phys. 157, 139 (1993)
4. G. Mussardo, P. Simonetti, Int. J. Mod. Phys. A 9, 3307 (1994); S. Cecotti, C. Vafa, Commun. Math. Phys. 157, 139 (1993)
5. G. Mussardo, Phys. Rep. 182 (1993)
6. R.E. Prange, S.M. Girvin, The quantum Hall effect (Springer, New York 1987); R.B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983)
7. R.E. Prange, S.M. Girvin, The quantum Hall effect (Springer, New York 1987); R.B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983)
8. X.G. Wen, Topological orders and Edge Excitations in FQH states, cond-mat/9506066
9. X.G. Wen, A. Zee, Field Theory, Topology and Condensed Matter Physics, Proceedings of the Ninth Chris Engelbrecht Summer School in Theoretical Physics, held at Storms River Mouth, Tsitsikamma National Park, South Africa, 17-28 January 1994, edited by Hendrik B. Geyer (Springer-Verlag, 1995)
10. 5 System and Singular CFT, hep-th/9903224
11. 3, hep-th/9806194
12. 3, hep-th/9903219, JHEP 9904, 008 (1999)
13. A. Leclair, C. Vafa, Nucl. Phys. B 401, 413 (1993); D. Bernard, A. Leclair, Nucl. Phys. B 340, 712 (1990); Phys. Lett. B 247, 309 (1991); Commun. Math. Phys. 142, 99
14. A. Leclair, C. Vafa, Nucl. Phys. B 401, 413 (1993); D. Bernard, A. Leclair, Nucl. Phys. B 340, 712 (1990); Phys. Lett. B 247, 309 (1991); Commun. Math. Phys. 142, 99
15. A. Leclair, C. Vafa, Nucl. Phys. B 401, 413 (1993); D. Bernard, A. Leclair, Nucl. Phys. B 340, 712 (1990); Phys. Lett. B 247, 309 (1991); Commun. Math. Phys. 142, 99
16. A. Leclair, C. Vafa, Nucl. Phys. B 401, 413 (1993); D. Bernard, A. Leclair, Nucl. Phys. B 340, 712 (1990); Phys. Lett. B 247, 309 (1991); Commun. Math. Phys. 142, 99
17. E.H. Saidi, M.B. Sedra, J. Zerouaoui, Class. Quant. Grav. 12, 1567 (1995)
18. A. Perez, M. Rausch de Traubenberg, P. Simon. Nucl. Phys. B 482, 352 (1996)
19. q(sl(2)) as Dynamical Symmetry Algebra of the Quantum Hall Effect, math.QA/9803032
20. q(sl(2)) as Dynamical Symmetry Algebra of the Quantum Hall Effect, math.QA/9803032
21. A. Jellal, Mod. Phys. Lett. A 14, 2253 (1999); M. Rachidi, E.H. Saidi, J. Zerouaoui, Phys. Lett. B 409, 349 (1997)
22. A. Jellal, Mod. Phys. Lett. A 14, 2253 (1999); M. Rachidi, E.H. Saidi, J. Zerouaoui, Phys. Lett. B 409, 349 (1997)
23. I. Benkaddour, E.H. Saidi, Class. Quantum. Grav. 16, 1793 (1999)
24. A. Elfallah, E.H Saidi, J. Zerouaoui, Phys. Lett. B 468, 86 (1999)
25. A.M. Zamolodchikov, V.A. Fateev, Sov. Phys. JETP 62, 215 (1985)
26. H. Chakir, A. Elfallah, E.H. Saidi, Mod. Phys. Lett. A 38, 2931 (1995)
27. P.C. Argyres, S.H-H. Tye, Commun. Math. Phys. 159, 471 (1993); P.C. Argyres, A. Leclair, S.H-H. Tye, Phys. Lett. B 253, (1991); P.C. Argyres, S.H-H. Tye, Phys. Rev. Lett. 67, 3339 (1991)
28. P.C. Argyres, S.H-H. Tye, Commun. Math. Phys. 159, 471 (1993); P.C. Argyres, A. Leclair, S.H-H. Tye, Phys. Lett. B 253, (1991); P.C. Argyres, S.H-H. Tye, Phys. Rev. Lett. 67, 3339 (1991)
29. P.C. Argyres, S.H-H. Tye, Commun. Math. Phys. 159, 471 (1993); P.C. Argyres, A. Leclair, S.H-H. Tye, Phys. Lett. B 253, (1991); P.C. Argyres, S.H-H. Tye, Phys. Rev. Lett. 67, 3339 (1991)
30. H. Chakir, A. ElFallah, E.H. Saidi, Class. Quant. Grav. 14, 2049 (1997)
31. M. Wakimoto, Comm. Math. Phys. 104, 605 (1986)
32. M. Rausch de Traubenberg, Lectures delivered at the Workshop on Non-commutative Geometry and Superstring theory, Rabat 16-17 June 2000
33. J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1997), hep-th/9711200
34. E. Witten, Heterotic String Conformal Field Theory And A-D-E Singularities, hep-th/9909229
35. J. Balog, L. O'Raifeartaigh, P. Forgacs, A. Wipf, Nucl. Phys. B 325, 225 (1989)
36. C. Vafa, N.P. Warner, Phys. Lett. B 218, 51 (1989); W. Lerche, C. Vafa, N.P. Warner, Nucl. Phys. B 324, 427 (1989)
37. C. Vafa, N.P. Warner, Phys. Lett. B 218, 51 (1989); W. Lerche, C. Vafa, N.P. Warner, Nucl. Phys. B 324, 427 (1989)
38. E. Witten, Introduction to Cohomological Field Theories, lectures given at Conference on Topological Methods in Quantum Field Theory (Trieste, June 1990), Int. J. Mod. Phys. A 6, 2775 (1991); J. Sonnenschein, Phys. Rev. D 42, 2080 (1990); M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa, Nucl. Phys. B 405, 279 (1993); T. Eguchi, Y. Yamada, S.-K. Yang, Topological Field Theories and the Period Integrals, hep-th/9304121; Mod. Phys. Lett. A 8, (1993)
39. E. Witten, Introduction to Cohomological Field Theories, lectures given at Conference on Topological Methods in Quantum Field Theory (Trieste, June 1990), Int. J. Mod. Phys. A 6, 2775 (1991); J. Sonnenschein, Phys. Rev. D 42, 2080 (1990); M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa, Nucl. Phys. B 405, 279 (1993); T. Eguchi, Y. Yamada, S.-K. Yang, Topological Field Theories and the Period Integrals, hep-th/9304121; Mod. Phys. Lett. A 8, (1993)
40. E. Witten, Introduction to Cohomological Field Theories, lectures given at Conference on Topological Methods in Quantum Field Theory (Trieste, June 1990), Int. J. Mod. Phys. A 6, 2775 (1991); J. Sonnenschein, Phys. Rev. D 42, 2080 (1990); M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa, Nucl. Phys. B 405, 279 (1993); T. Eguchi, Y. Yamada, S.-K. Yang, Topological Field Theories and the Period Integrals, hep-th/9304121; Mod. Phys. Lett. A 8, (1993)
41. E. Witten, Introduction to Cohomological Field Theories, lectures given at Conference on Topological Methods in Quantum Field Theory (Trieste, June 1990), Int. J. Mod. Phys. A 6, 2775 (1991); J. Sonnenschein, Phys. Rev. D 42, 2080 (1990); M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa, Nucl. Phys. B 405, 279 (1993); T. Eguchi, Y. Yamada, S.-K. Yang, Topological Field Theories and the Period Integrals, hep-th/9304121; Mod. Phys. Lett. A 8, (1993)
42. E. Witten, Introduction to Cohomological Field Theories, lectures given at Conference on Topological Methods in Quantum Field Theory (Trieste, June 1990), Int. J. Mod. Phys. A 6, 2775 (1991); J. Sonnenschein, Phys. Rev. D 42, 2080 (1990); M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa, Nucl. Phys. B 405, 279 (1993); T. Eguchi, Y. Yamada, S.-K. Yang, Topological Field Theories and the Period Integrals, hep-th/9304121; Mod. Phys. Lett. A 8, (1993)
43. E. Witten, Introduction to Cohomological Field Theories, lectures given at Conference on Topological Methods in Quantum Field Theory (Trieste, June 1990), Int. J. Mod. Phys. A 6, 2775 (1991); J. Sonnenschein, Phys. Rev. D 42, 2080 (1990); M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa, Nucl. Phys. B 405, 279 (1993); T. Eguchi, Y. Yamada, S.-K. Yang, Topological Field Theories and the Period Integrals, hep-th/9304121; Mod. Phys. Lett. A 8, (1993)
44. M. Rausch de Traubenberg, M.J. Slupinski, J. Math. Phys. 41, 4556 (2000)
45. S. Gukov, C. Vafa, E. Witten, CFT's From Calabi-Yau Four-folds, hep-th/9906070
46. A. Elfallah, E.H. Saidi, J. Zerouaoui, Phys. Lett. B 468, 86 (1999)
47. I. Benkaddour, A. El Rhalami, E.H. Saidi, Fractional Quantum Hall Excitations as RdTS Highest Weight State Representations, hep-th/0101188