Deformed Chern-Simons theories

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 406, Issue 3, 1997, Pages 205-214

  Bimonte, G ^a   Musto, R ^a   Stern, A ^b   Vitale, P ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b UNIVERSITY OF ALABAMA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0003113704     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-2693(97)00689-8     Document Type: Article

References (73)

1. A review and reprints of original papers can be found in Fractional Statistics and Anyon Superconductivity (World Scientific, Singapore, 1990); see also A. Lerda, Anyons (Springer-Verlag Berlin, 1992).
2. A review and reprints of original papers can be found in Fractional Statistics and Anyon Superconductivity (World Scientific, Singapore, 1990); see also A. Lerda, Anyons (Springer-Verlag Berlin, 1992).
3. S.C. Zhong T.H. Hanson and S. Kivelson, Phys. Rev. Lett. 62 (1989) 82; J. Frölich and A. Zee, Nucl. Phys. B 364 (1991) 517; X.G. Wen and A. Zee, Phys. Rev. B 46 (1992) 229; for a review see for example, Quantum Hall Effect, M. Stone ed. (World Scientific, Singapore, 1992).
4. S.C. Zhong T.H. Hanson and S. Kivelson, Phys. Rev. Lett. 62 (1989) 82; J. Frölich and A. Zee, Nucl. Phys. B 364 (1991) 517; X.G. Wen and A. Zee, Phys. Rev. B 46 (1992) 229; for a review see for example, Quantum Hall Effect, M. Stone ed. (World Scientific, Singapore, 1992).
5. S.C. Zhong T.H. Hanson and S. Kivelson, Phys. Rev. Lett. 62 (1989) 82; J. Frölich and A. Zee, Nucl. Phys. B 364 (1991) 517; X.G. Wen and A. Zee, Phys. Rev. B 46 (1992) 229; for a review see for example, Quantum Hall Effect, M. Stone ed. (World Scientific, Singapore, 1992).
6. S.C. Zhong T.H. Hanson and S. Kivelson, Phys. Rev. Lett. 62 (1989) 82; J. Frölich and A. Zee, Nucl. Phys. B 364 (1991) 517; X.G. Wen and A. Zee, Phys. Rev. B 46 (1992) 229; for a review see for example, Quantum Hall Effect, M. Stone ed. (World Scientific, Singapore, 1992).
7. E. Witten, Nucl. Phys. B 311 (1988) 46.
8. A Achúcarro and P.K. Townsend, Phys. Lett. B 180 (1986) 89.
9. E. Witten, Comm. Math. Phys. 121 (1989) 351.
10. This point has been further clarified, in: G. Moore and N. Seiberg, Phys. Lett. B 220 (1989) 422; M. Bos and V.P. Nair, Phys. Lett. B 223 (1989) 61.
11. This point has been further clarified, in: G. Moore and N. Seiberg, Phys. Lett. B 220 (1989) 422; M. Bos and V.P. Nair, Phys. Lett. B 223 (1989) 61.
12. S. Elitzur, G. Moore, A. Schwimmer and N. Seiberg, Nucl. Phys. B 326 (1989) 108; A. Balachandran, G. Bimonte, K.S. Gupta and A. Stern, Int. J. Mod. Phys. A 7 (1992) 4655; A. Balachandran, G. Bimonte and P. Teotonio-Sobrinho, Mod. Phys. Lett. A 8 (1993) 1305; G. Bimonte, K.S. Gupta and A. Stern, Int. J. Mod. Phys. A 8 (1993) 653; A. Balachandran, L. Chandar and E. Ercolessi, Int. J. Mod. Phys. A 10 (1995) 1969; A. Balachandran, A. Momen and L. Chandar, Nucl. Phys. B 461 (1996) 581; for a review see A. Balachandran, Gauge symmetries, topology and quantization, in AIP Conference Proceedings, No. 317, Fifth Mexican School of Particles and Fields, Guanajuato, Mexico (1992), ed. J.L. Lucio and M. Vargas (1994) p. 1.
13. S. Elitzur, G. Moore, A. Schwimmer and N. Seiberg, Nucl. Phys. B 326 (1989) 108; A. Balachandran, G. Bimonte, K.S. Gupta and A. Stern, Int. J. Mod. Phys. A 7 (1992) 4655; A. Balachandran, G. Bimonte and P. Teotonio-Sobrinho, Mod. Phys. Lett. A 8 (1993) 1305; G. Bimonte, K.S. Gupta and A. Stern, Int. J. Mod. Phys. A 8 (1993) 653; A. Balachandran, L. Chandar and E. Ercolessi, Int. J. Mod. Phys. A 10 (1995) 1969; A. Balachandran, A. Momen and L. Chandar, Nucl. Phys. B 461 (1996) 581; for a review see A. Balachandran, Gauge symmetries, topology and quantization, in AIP Conference Proceedings, No. 317, Fifth Mexican School of Particles and Fields, Guanajuato, Mexico (1992), ed. J.L. Lucio and M. Vargas (1994) p. 1.
14. S. Elitzur, G. Moore, A. Schwimmer and N. Seiberg, Nucl. Phys. B 326 (1989) 108; A. Balachandran, G. Bimonte, K.S. Gupta and A. Stern, Int. J. Mod. Phys. A 7 (1992) 4655; A. Balachandran, G. Bimonte and P. Teotonio-Sobrinho, Mod. Phys. Lett. A 8 (1993) 1305; G. Bimonte, K.S. Gupta and A. Stern, Int. J. Mod. Phys. A 8 (1993) 653; A. Balachandran, L. Chandar and E. Ercolessi, Int. J. Mod. Phys. A 10 (1995) 1969; A. Balachandran, A. Momen and L. Chandar, Nucl. Phys. B 461 (1996) 581; for a review see A. Balachandran, Gauge symmetries, topology and quantization, in AIP Conference Proceedings, No. 317, Fifth Mexican School of Particles and Fields, Guanajuato, Mexico (1992), ed. J.L. Lucio and M. Vargas (1994) p. 1.
15. S. Elitzur, G. Moore, A. Schwimmer and N. Seiberg, Nucl. Phys. B 326 (1989) 108; A. Balachandran, G. Bimonte, K.S. Gupta and A. Stern, Int. J. Mod. Phys. A 7 (1992) 4655; A. Balachandran, G. Bimonte and P. Teotonio-Sobrinho, Mod. Phys. Lett. A 8 (1993) 1305; G. Bimonte, K.S. Gupta and A. Stern, Int. J. Mod. Phys. A 8 (1993) 653; A. Balachandran, L. Chandar and E. Ercolessi, Int. J. Mod. Phys. A 10 (1995) 1969; A. Balachandran, A. Momen and L. Chandar, Nucl. Phys. B 461 (1996) 581; for a review see A. Balachandran, Gauge symmetries, topology and quantization, in AIP Conference Proceedings, No. 317, Fifth Mexican School of Particles and Fields, Guanajuato, Mexico (1992), ed. J.L. Lucio and M. Vargas (1994) p. 1.
16. S. Elitzur, G. Moore, A. Schwimmer and N. Seiberg, Nucl. Phys. B 326 (1989) 108; A. Balachandran, G. Bimonte, K.S. Gupta and A. Stern, Int. J. Mod. Phys. A 7 (1992) 4655; A. Balachandran, G. Bimonte and P. Teotonio-Sobrinho, Mod. Phys. Lett. A 8 (1993) 1305; G. Bimonte, K.S. Gupta and A. Stern, Int. J. Mod. Phys. A 8 (1993) 653; A. Balachandran, L. Chandar and E. Ercolessi, Int. J. Mod. Phys. A 10 (1995) 1969; A. Balachandran, A. Momen and L. Chandar, Nucl. Phys. B 461 (1996) 581; for a review see A. Balachandran, Gauge symmetries, topology and quantization, in AIP Conference Proceedings, No. 317, Fifth Mexican School of Particles and Fields, Guanajuato, Mexico (1992), ed. J.L. Lucio and M. Vargas (1994) p. 1.
17. S. Elitzur, G. Moore, A. Schwimmer and N. Seiberg, Nucl. Phys. B 326 (1989) 108; A. Balachandran, G. Bimonte, K.S. Gupta and A. Stern, Int. J. Mod. Phys. A 7 (1992) 4655; A. Balachandran, G. Bimonte and P. Teotonio-Sobrinho, Mod. Phys. Lett. A 8 (1993) 1305; G. Bimonte, K.S. Gupta and A. Stern, Int. J. Mod. Phys. A 8 (1993) 653; A. Balachandran, L. Chandar and E. Ercolessi, Int. J. Mod. Phys. A 10 (1995) 1969; A. Balachandran, A. Momen and L. Chandar, Nucl. Phys. B 461 (1996) 581; for a review see A. Balachandran, Gauge symmetries, topology and quantization, in AIP Conference Proceedings, No. 317, Fifth Mexican School of Particles and Fields, Guanajuato, Mexico (1992), ed. J.L. Lucio and M. Vargas (1994) p. 1.
18. S. Elitzur, G. Moore, A. Schwimmer and N. Seiberg, Nucl. Phys. B 326 (1989) 108; A. Balachandran, G. Bimonte, K.S. Gupta and A. Stern, Int. J. Mod. Phys. A 7 (1992) 4655; A. Balachandran, G. Bimonte and P. Teotonio-Sobrinho, Mod. Phys. Lett. A 8 (1993) 1305; G. Bimonte, K.S. Gupta and A. Stern, Int. J. Mod. Phys. A 8 (1993) 653; A. Balachandran, L. Chandar and E. Ercolessi, Int. J. Mod. Phys. A 10 (1995) 1969; A. Balachandran, A. Momen and L. Chandar, Nucl. Phys. B 461 (1996) 581; for a review see A. Balachandran, Gauge symmetries, topology and quantization, in AIP Conference Proceedings, No. 317, Fifth Mexican School of Particles and Fields, Guanajuato, Mexico (1992), ed. J.L. Lucio and M. Vargas (1994) p. 1.
19. X.G. Wen, Phys. Rev. B 41 (1990) 12838; G. Cristofano, G. Maiella, R. Musto and F. Nicodemi, Mod. Phys. Lett. A 6 (1991) 2985; A.P. Balachandran, L. Chandar and B. Sathiapalan, Nucl. Phys. B 443 (1995) 465; Int. J. Mod. Phys. A 11 (1996) 3587; for a review see X.G. Wen, Int. J. Mod. Phys. B 6 (1992) 1711.
20. X.G. Wen, Phys. Rev. B 41 (1990) 12838; G. Cristofano, G. Maiella, R. Musto and F. Nicodemi, Mod. Phys. Lett. A 6 (1991) 2985; A.P. Balachandran, L. Chandar and B. Sathiapalan, Nucl. Phys. B 443 (1995) 465; Int. J. Mod. Phys. A 11 (1996) 3587; for a review see X.G. Wen, Int. J. Mod. Phys. B 6 (1992) 1711.
21. X.G. Wen, Phys. Rev. B 41 (1990) 12838; G. Cristofano, G. Maiella, R. Musto and F. Nicodemi, Mod. Phys. Lett. A 6 (1991) 2985; A.P. Balachandran, L. Chandar and B. Sathiapalan, Nucl. Phys. B 443 (1995) 465; Int. J. Mod. Phys. A 11 (1996) 3587; for a review see X.G. Wen, Int. J. Mod. Phys. B 6 (1992) 1711.
22. X.G. Wen, Phys. Rev. B 41 (1990) 12838; G. Cristofano, G. Maiella, R. Musto and F. Nicodemi, Mod. Phys. Lett. A 6 (1991) 2985; A.P. Balachandran, L. Chandar and B. Sathiapalan, Nucl. Phys. B 443 (1995) 465; Int. J. Mod. Phys. A 11 (1996) 3587; for a review see X.G. Wen, Int. J. Mod. Phys. B 6 (1992) 1711.
23. X.G. Wen, Phys. Rev. B 41 (1990) 12838; G. Cristofano, G. Maiella, R. Musto and F. Nicodemi, Mod. Phys. Lett. A 6 (1991) 2985; A.P. Balachandran, L. Chandar and B. Sathiapalan, Nucl. Phys. B 443 (1995) 465; Int. J. Mod. Phys. A 11 (1996) 3587; for a review see X.G. Wen, Int. J. Mod. Phys. B 6 (1992) 1711.
24. P. Goddard and D. Olive, Int. J. Mod. Phys. A 1 (1986) 303.
25. S. Fubini and G. Veneziano, Ann. Phys. 63 (1970) 12.
26. A.P. Balachandran, G. Bimonte, K.S. Gupta and A. Stern, Int. J. Mod. Phys. A 7 (1992) 5855.
27. V.G. Drinfeld, Quantum Groups ICM Proc., New York, Berkeley (1986); M. Jimbo, Lett. Math. Phys. 10 (1985) 63; L.D. Faddeev, N. Yu. Reshetikin and L.A. Takhtajan, Algebra and Analysis 1 (1987) 178; S. Majid, Int. J. Mod. Phys. A 5 (1990) 1.
28. V.G. Drinfeld, Quantum Groups ICM Proc., New York, Berkeley (1986); M. Jimbo, Lett. Math. Phys. 10 (1985) 63; L.D. Faddeev, N. Yu. Reshetikin and L.A. Takhtajan, Algebra and Analysis 1 (1987) 178; S. Majid, Int. J. Mod. Phys. A 5 (1990) 1.
29. V.G. Drinfeld, Quantum Groups ICM Proc., New York, Berkeley (1986); M. Jimbo, Lett. Math. Phys. 10 (1985) 63; L.D. Faddeev, N. Yu. Reshetikin and L.A. Takhtajan, Algebra and Analysis 1 (1987) 178; S. Majid, Int. J. Mod. Phys. A 5 (1990) 1.
30. V.G. Drinfeld, Quantum Groups ICM Proc., New York, Berkeley (1986); M. Jimbo, Lett. Math. Phys. 10 (1985) 63; L.D. Faddeev, N. Yu. Reshetikin and L.A. Takhtajan, Algebra and Analysis 1 (1987) 178; S. Majid, Int. J. Mod. Phys. A 5 (1990) 1.
31. L. Frappat, A. Sciarrino, S. Sciuto and P. Sorba, Phys. Lett. B 369 (1996) 313; Zeich. J. Phys. 47 (1997) 91.
32. L. Frappat, A. Sciarrino, S. Sciuto and P. Sorba, Phys. Lett. B 369 (1996) 313; Zeich. J. Phys. 47 (1997) 91.
33. For a review see, in: Integrable Quantum Field theories NATO Proceedings, L. Bonora and G. Mussardo, eds. (Plenum, 1993); Quantum Groups and their Physical Applications Proceedings of the 127th Course, E. Fermi School, Varenna (1994); L.D. Faddeev and L.A. Takhtajan, Hamiltonian Methods in the Theory of Solitons (Springer-Verlag, 1987); V. Korepin, G. Izergin and N.M. Bogoliubov, Quantum Inverse Scattering Method, Correlation Functions and Algebraic Bethe Ansatz (Cambridge U.P., 1993).
34. For a review see, in: Integrable Quantum Field theories NATO Proceedings, L. Bonora and G. Mussardo, eds. (Plenum, 1993); Quantum Groups and their Physical Applications Proceedings of the 127th Course, E. Fermi School, Varenna (1994); L.D. Faddeev and L.A. Takhtajan, Hamiltonian Methods in the Theory of Solitons (Springer-Verlag, 1987); V. Korepin, G. Izergin and N.M. Bogoliubov, Quantum Inverse Scattering Method, Correlation Functions and Algebraic Bethe Ansatz (Cambridge U.P., 1993).
35. For a review see, in: Integrable Quantum Field theories NATO Proceedings, L. Bonora and G. Mussardo, eds. (Plenum, 1993); Quantum Groups and their Physical Applications Proceedings of the 127th Course, E. Fermi School, Varenna (1994); L.D. Faddeev and L.A. Takhtajan, Hamiltonian Methods in the Theory of Solitons (Springer-Verlag, 1987); V. Korepin, G. Izergin and N.M. Bogoliubov, Quantum Inverse Scattering Method, Correlation Functions and Algebraic Bethe Ansatz (Cambridge U.P., 1993).
36. For a review see, in: Integrable Quantum Field theories NATO Proceedings, L. Bonora and G. Mussardo, eds. (Plenum, 1993); Quantum Groups and their Physical Applications Proceedings of the 127th Course, E. Fermi School, Varenna (1994); L.D. Faddeev and L.A. Takhtajan, Hamiltonian Methods in the Theory of Solitons (Springer-Verlag, 1987); V. Korepin, G. Izergin and N.M. Bogoliubov, Quantum Inverse Scattering Method, Correlation Functions and Algebraic Bethe Ansatz (Cambridge U.P., 1993).
37. S.G. Rajeev, A. Stern and P. Vitale, Phys. Lett. B 388 (1996) 769; A. Stern and P. Vitale, Hidden Quantum Group Symmetry in the Chiral Model, to appear in Nucl. Phys. B, and refs. therein.
38. S.G. Rajeev, A. Stern and P. Vitale, Phys. Lett. B 388 (1996) 769; A. Stern and P. Vitale, Hidden Quantum Group Symmetry in the Chiral Model, to appear in Nucl. Phys. B, and refs. therein.
39. D. Bernard and A. Le Clair, Phys. Lett. B 247 (1990) 309; G. Felder and A. Le Clair, Int. J. Mod. Phys. A 7 (1992) 239.
40. D. Bernard and A. Le Clair, Phys. Lett. B 247 (1990) 309; G. Felder and A. Le Clair, Int. J. Mod. Phys. A 7 (1992) 239.
41. A.B. Zamolodchikov, Int. J. Mod. Phys. A 4 (1989) 4235; Advanced Studies in Pure Mathematics 19 (1989) 641.
42. A.B. Zamolodchikov, Int. J. Mod. Phys. A 4 (1989) 4235; Advanced Studies in Pure Mathematics 19 (1989) 641.
43. Bo-Yu Hou, Bo-Yuan Hou and Zhong-Qi Ma, J. Phys. A 28 (1995) 543.
44. U. Carow-Watamura, M. Schlieker, S. Watamura and W. Weich, Comm. Math. Phys. 142 (1991) 605.
45. G. Bimonte, R. Musto, A. Stern and P. Vitale, in preparation.
46. G. Bimonte, R. Musto, A. Stern and P. Vitale, in preparation.
47. L. Castellani, Mod. Phys. Lett. A 9 (1994) 2835; Phys. Lett. B 292 (1992) 93.
48. L. Castellani, Mod. Phys. Lett. A 9 (1994) 2835; Phys. Lett. B 292 (1992) 93.
49. P. Aschieri and L. Castellani, Int. J. Mod. Phys. A 11 (1996) 4513.
50. I. Ya. Arefeva and I.V. Volovich, Mod. Phys. Lett A 6 (1991) 893; J.M. Maillet and F. Nijoff, Phys. Lett. B 229 (1989) 71. M. Hirayama, Prog. Theor. Phys. 88 (1992) 111.
51. I. Ya. Arefeva and I.V. Volovich, Mod. Phys. Lett A 6 (1991) 893; J.M. Maillet and F. Nijoff, Phys. Lett. B 229 (1989) 71. M. Hirayama, Prog. Theor. Phys. 88 (1992) 111.
52. I. Ya. Arefeva and I.V. Volovich, Mod. Phys. Lett A 6 (1991) 893; J.M. Maillet and F. Nijoff, Phys. Lett. B 229 (1989) 71. M. Hirayama, Prog. Theor. Phys. 88 (1992) 111.
53. T. Brezinski and S. Majid, Phys. Lett B 298 (1993) 339.
54. q(2) YM Theory on Quantum Principal Bundles, hep-th/9406129.
55. q(2) YM Theory on Quantum Principal Bundles, hep-th/9406129.
56. q(2) YM Theory on Quantum Principal Bundles, hep-th/9406129.
57. q(2) YM Theory on Quantum Principal Bundles, hep-th/9406129.
58. A.P. Isaev and Z. Popowicz, Phys. Lett. B 281 (1992) 271; B 307 (1993) 353; S. Watamura, Comm. Math. Phys. 158 (1993) 67; P. Watts it Toward a q-Deformed Standard Model, Preprint hep-th/9603143.
59. A.P. Isaev and Z. Popowicz, Phys. Lett. B 281 (1992) 271; B 307 (1993) 353; S. Watamura, Comm. Math. Phys. 158 (1993) 67; P. Watts it Toward a q-Deformed Standard Model, Preprint hep-th/9603143.
60. A.P. Isaev and Z. Popowicz, Phys. Lett. B 281 (1992) 271; B 307 (1993) 353; S. Watamura, Comm. Math. Phys. 158 (1993) 67; P. Watts it Toward a q-Deformed Standard Model, Preprint hep-th/9603143.
61. A.P. Isaev and Z. Popowicz, Phys. Lett. B 281 (1992) 271; B 307 (1993) 353; S. Watamura, Comm. Math. Phys. 158 (1993) 67; P. Watts it Toward a q-Deformed Standard Model, Preprint hep-th/9603143.
62. A. Sudbery, Phys. Lett. B 375 (1996) 75.
63. G. Bimonte, A. Stern and P. Vitale, Phys. Rev. D 54 (1996) 1054.
64. S.L. Woronowicz, Comm. Math. Phys. 111 (1987) 613; 122 (1989) 125.
65. S.L. Woronowicz, Comm. Math. Phys. 111 (1987) 613; 122 (1989) 125.
66. B. Zumino, Proc. Math. Phys X Leipzig (Springer-Verlag, 1992); P. Schupp, P. Watts and B. Zumino, Comm. Math. Phys. 157 (1993) 305.
67. B. Zumino, Proc. Math. Phys X Leipzig (Springer-Verlag, 1992); P. Schupp, P. Watts and B. Zumino, Comm. Math. Phys. 157 (1993) 305.
68. D. Bernard, Prog. Theor. Phys. Suppl 102 (1990) 49; D. Bernard and A. Le Clair, Comm. Math. Phys. 142 (1991) 99.
69. D. Bernard, Prog. Theor. Phys. Suppl 102 (1990) 49; D. Bernard and A. Le Clair, Comm. Math. Phys. 142 (1991) 99.
70. P. Aschieri and L. Castellani, Int. J. Mod. Phys. A 8 (1993) 1667.
71. L. Castellani and M.A. R-Monteiro, Phys. Lett. B 314 (1993) 25.
72. A. Schirrmacher, J. Phys. A 24 (1991) L1249.
73. M. Lukin, A. Stern and I. Yakushin, J. Phys. A 26 (1993) 5115.