[Formula presented] superanyons, [Formula presented], and the deformed Heisenberg algebra

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 56, Issue 6, 1997, Pages 3744-3755

  Gorbunov, I V ^a   Kuzenko, S M ^a   Lyakhovich, S L ^a  

^a TOMSK STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000728226     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.56.3744     Document Type: Article

References (57)

1. F. Wilczek, Phys. Rev. Lett. 48, 1144 (1982);
2. 49, 957 (1982).
3. J. M. Leinaas and J. Myrheim, Nuovo Cimento B 37, 1 (1977).
4. G. A. Goldin, R. Menikoff, and D. H. Sharp, J. Math. Phys. (N.Y.) 21, 650 (1980);
5. 22, 1664 (1981).
6. D. P. Arovas, R. Schrieffer, F. Wilczek, and A. Zee, Nucl. Phys. B251, 117 (1985).
7. C. Hagen, Phys. Rev. D 31, 2135 (1985).
8. G. W. Semenoff, Phys. Rev. Lett. 61, 517 (1988).
9. J. Fröhlich and P. A. Marchetti, Lett. Math. Phys. 16, 347 (1988);
10. Commun. Math. Phys. 121, 177 (1988);
11. Nucl. Phys. B356, 533 (1991), and references therein.
12. D. C. Tsui, H. L. Stormer, and A. C. Gossard, Phys. Rev. Lett. 48, 1559 (1982).
13. R. B Laughlin, Phys. Rev. Lett. 50, 1395 (1983).
14. F. D. M. Haldane, Phys. Rev. Lett. 51, 605 (1983);
15. B. I. Halperin, 52, 1583 (1984);
16. 52, 2390(E) (1984).
17. F. Wilczek, Fractional Statistics and Anyon Superconductivity (World Scientific, Singapore, 1990).
18. M. S. Plyushchay, Phys. Lett. B 262, 71 (1991);
19. Nucl. Phys. B362, 54 (1991).
20. M. S. Plyushchay, Phys. Lett. B 273, 250 (1991).
21. M. S. Plyushchay, Int. J. Mod. Phys. A 7, 7045 (1992).
22. D. P. Sorokin, V. I. Tkach, and D. V. Volkov, in Problems of modern quantum field theory, edited by A. A. Belavin, A. V. Klimyk, and A. B. Zamolodchikov (Springer-Verlag, Berlin, 1989);
23. D. P. Sorokin and D. V. Volkov, Nucl. Phys. B409, 547 (1993).
24. D. Dalmazi and A. de Souza Dutra, Phys. Lett. B 343, 225 (1995).
25. C. Chou, V. P. Nair, and A. P. Polychronakos, Phys. Lett. B 304, 105 (1993).
26. C. Chou, Phys. Lett. B 323, 147 (1994).
27. M. Chaichian, R. Gonzales Felipe, and D. Louis Martinez, Phys. Rev. Lett. 71, 3405 (1993);
28. R. Jackiw and V. P. Nair, 73, 2007 (1994).
29. S. Ghosh, Phys. Lett. B 338, 235 (1994);
30. Phys. Rev. D 51, 5827 (1995);
31. S. Ghosh and S. Mukhopadhyay, 51, 6843 (1995).
32. N. Banerjee and S. Ghosh, Phys. Rev. D 52, 6130 (1995).
33. J. L. Cortés and M. S. Plyushchay, Int. J. Mod. Phys. A 11, 3331 (1996).
34. I. V. Gorbunov, S. M. Kuzenko, and S. L. Lyakhovich, Int. J. Mod. Phys. A (to be published).
35. M. S. Plyushchay, Phys. Lett. B 248, 107 (1990).
36. R. Jackiw and V. P. Nair, Phys. Rev. D 43, 1933 (1991).
37. S. Forte and J. Jolicoeur, Nucl. Phys. B350, 589 (1991).
38. M. S. Plyushchay, Phys. Lett. B 320, 91 (1994);
39. Ann. Phys. (N.Y.) 245, 339 (1996).APNYA6
40. M. A. Vasiliev, Pis'ma Zh. Eksp. Teor. Fiz. 50, 344 (1989);
41. Int. J. Mod. Phys. A 6, 1115 (1991).
42. S. L. Lyakhovich, A. Yu. Segal, and A. A. Sharapov, Phys. Rev. D 54, 5223 (1996).
43. P. Fayet, Nucl. Phys. B51, 135 (1976);
44. M. F. Sohnius, B138, 109 (1978);
45. Phys. Rep. 128, 39 (1985).
46. F. A. Berezin, Commun. Math. Phys. 40, 153 (1975);
47. Sov. J. Nucl. Phys. 29, 153 (1979).
48. B. Kostant, Quantization and unitary representations, Lecture Notes in Mathematics Vol. 1970 (Springer-Verlag, New York, 1970), p. 47;Graded manifolds, graded Lie theory and prequantization, in Conference on Differential Geometric Methods in Mathematical Physics, edited by K. Bleuler and A. Reetz, Lecture Notes on Mathematics Vol. 570 (Springer, Berlin, 1977), p. 177.
49. A. B. Balantekin, H. A. Schmitt, and B. R Barrett, J. Math. Phys. (N.Y.) 29, 1634 (1988).
50. A. M. El Gradechi, J. Math. Phys. (N.Y.) 34, 5951 (1993).
51. A. M. El Gradechi and L. M. Nieto, Commun. Math. Phys. 175, 521 (1996).
52. M. A. Perelomov, Generalized Coherent States (Nauka, Moskow, 1987).
53. N. Ya. Vilenkin, Special functions and the group representations (Nauka, Moskow, 1965).
54. I. M. Gelfand, M. I. Graiev, and N. Ya. Vilenkin, Generalized functions (Academic, New York, 1966), Vol. 5.
55. S. M. Kuzenko, S. L. Lyakhovich, and A. Yu. Segal, Int. J. Mod. Phys. A 10, 1529 (1995);
56. Phys. Lett. B 348, 421 (1995).
57. M. S. Plyushchay, Mod. Phys. Lett. A 11, 2953 (1996).