R-deformed Heisenberg algebra, anyons and D = 2 + 1 supersymmetry

Modern Physics Letters A

Volumn 12, Issue 16, 1997, Pages 1153-1164

  Plyushchay, Mikhail S ^a,b  

^a FEDERAL UNIVERSITY OF JUIZ DE FORA   (Brazil)

^b INSTITUTE FOR HIGH ENERGY PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000801280     PISSN: 02177323     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217732397001187     Document Type: Article

References (46)

1. J. M. Leinaas and J. Myrheim, Nuovo Cimento B37, 1 (1977); G. A. Goldin, R. Menikoff and D. H. Sharp, J. Math. Phys. 22, (1981) 1664; F. Wilczek, Phys. Rev. Lett. 48, 1144 (1982); 49, 957 (1982).
2. J. M. Leinaas and J. Myrheim, Nuovo Cimento B37, 1 (1977); G. A. Goldin, R. Menikoff and D. H. Sharp, J. Math. Phys. 22, (1981) 1664; F. Wilczek, Phys. Rev. Lett. 48, 1144 (1982); 49, 957 (1982).
3. J. M. Leinaas and J. Myrheim, Nuovo Cimento B37, 1 (1977); G. A. Goldin, R. Menikoff and D. H. Sharp, J. Math. Phys. 22, (1981) 1664; F. Wilczek, Phys. Rev. Lett. 48, 1144 (1982); 49, 957 (1982).
4. J. M. Leinaas and J. Myrheim, Nuovo Cimento B37, 1 (1977); G. A. Goldin, R. Menikoff and D. H. Sharp, J. Math. Phys. 22, (1981) 1664; F. Wilczek, Phys. Rev. Lett. 48, 1144 (1982); 49, 957 (1982).
5. B. Binegar, J. Math. Phys. 23, 1511 (1982).
6. R. Mackenzie and F. Wilczek, Int. J. Mod. Phys. A3, 2827 (1988); J. Fröhlich and P. Marchetti, Nucl. Phys. B35, 533 (1991); S. Forte, Rev. Mod. Phys. 64, 193 (1992); K. Lechner and R. Iengo, Phys. Rep. 213, 179 (1992).
7. R. Mackenzie and F. Wilczek, Int. J. Mod. Phys. A3, 2827 (1988); J. Fröhlich and P. Marchetti, Nucl. Phys. B35, 533 (1991); S. Forte, Rev. Mod. Phys. 64, 193 (1992); K. Lechner and R. Iengo, Phys. Rep. 213, 179 (1992).
8. R. Mackenzie and F. Wilczek, Int. J. Mod. Phys. A3, 2827 (1988); J. Fröhlich and P. Marchetti, Nucl. Phys. B35, 533 (1991); S. Forte, Rev. Mod. Phys. 64, 193 (1992); K. Lechner and R. Iengo, Phys. Rep. 213, 179 (1992).
9. R. Mackenzie and F. Wilczek, Int. J. Mod. Phys. A3, 2827 (1988); J. Fröhlich and P. Marchetti, Nucl. Phys. B35, 533 (1991); S. Forte, Rev. Mod. Phys. 64, 193 (1992); K. Lechner and R. Iengo, Phys. Rep. 213, 179 (1992).
10. G. W. Semenoff, Phys. Rev. Lett. 61, 517 (1988).
11. R. Banerjee, A. Chatterjee and V. V. Sreedhar, Ann. Phys. 222, 254 (1993).
12. M. S. Plyushchay, Phys. Lett. B248, 107 (1990).
13. R. Jackiw and V. P. Nair, Phys. Rev. D43, 1933 (1991).
14. M. S. Plyushchay, Phys. Lett. B262, 71 (1991); Nucl. Phys. B362, 54 (1991).
15. M. S. Plyushchay, Phys. Lett. B262, 71 (1991); Nucl. Phys. B362, 54 (1991).
16. D. P. Sorokin and D. V. Volkov, Nucl. Phys. B409, 547 (1993).
17. J. L. Cortés and M. S. Plyushchay, J. Math. Phys. 35, 6049 (1994).
18. M. S. Plyushchay, Phys. Lett. B320, 91 (1994).
19. J. L. Cortés and M. S. Plyushchay, Int. J. Mod. Phys. A11, 3331 (1996).
20. M. S. Plyushchay, Ann. Phys. 245, 339 (1996).
21. C. Chou, V. P. Nair and A. P. Polychronakos, Phys. Lett. B304, 105 (1993); Ch. Chou, ibid. B323, 147 (1994).
22. C. Chou, V. P. Nair and A. P. Polychronakos, Phys. Lett. B304, 105 (1993); Ch. Chou, ibid. B323, 147 (1994).
23. L. Brink, S. Deser, B. Zumino, P. Di Vecchia and P. Howe, Phys. Lett. 64, 435 (1976); R. Casalbuoni, Nuovo Cimento A33, 369 (1976); F. A. Berezin and M. S. Marinov, Ann. Phys. 104, 336 (1977).
24. L. Brink, S. Deser, B. Zumino, P. Di Vecchia and P. Howe, Phys. Lett. 64, 435 (1976); R. Casalbuoni, Nuovo Cimento A33, 369 (1976); F. A. Berezin and M. S. Marinov, Ann. Phys. 104, 336 (1977).
25. L. Brink, S. Deser, B. Zumino, P. Di Vecchia and P. Howe, Phys. Lett. 64, 435 (1976); R. Casalbuoni, Nuovo Cimento A33, 369 (1976); F. A. Berezin and M. S. Marinov, Ann. Phys. 104, 336 (1977).
26. G. P. Korchemsky, Phys. Lett. B267, 497 (1991).
27. Y. Ohnuki and S. Kamefuchi, Quantum Field Theory and Parastatistics (University Press of Tokyo, 1982); A. J. Macfarlane, "Generalized oscillator systems and their parabosonic interpretation", in Proc. Int. Workshop on Symmetry Methods in Physics, eds. A. N. Sissakian, G. S. Pogosyan and S. I. Vinitsky (JINR, 1994), p. 319.
28. Y. Ohnuki and S. Kamefuchi, Quantum Field Theory and Parastatistics (University Press of Tokyo, 1982); A. J. Macfarlane, "Generalized oscillator systems and their parabosonic interpretation", in Proc. Int. Workshop on Symmetry Methods in Physics, eds. A. N. Sissakian, G. S. Pogosyan and S. I. Vinitsky (JINR, 1994), p. 319.
29. M. S. Plyushchay, Mod. Phys. Lett. A11, 2953 (1996); Nucl. Phys. B491, 619 (1997).
30. M. S. Plyushchay, Mod. Phys. Lett. A11, 2953 (1996); Nucl. Phys. B491, 619 (1997).
31. P. A. M. Dirac, Proc. R. Soc. London Ser. A322, 435 (1971); 328, 1572 (1972).
32. P. A. M. Dirac, Proc. R. Soc. London Ser. A322, 435 (1971); 328, 1572 (1972).
33. A. T. Filippov, A. P. Isaev, and A. P. Kurdikov, Mod. Phys. Lett. A7, 2129 (1992); Teor. Mat. Fiz. 94, 213 (1993); V. Spiridonov, "Parasupersymmetry in quantum systems", in Proc. XX Int. Conf. on Differential Geometric Methods in Theor. Phys. (June 3-7, 1991, New York, USA), eds. S. Catto and A. Rocha (World Scientific, 1992), Vol. 1, p. 622; A. P. Isaev, "Para-Grassmann integral, discrete systems and quantum groups", preprint q-alg/9609030.
34. A. T. Filippov, A. P. Isaev, and A. P. Kurdikov, Mod. Phys. Lett. A7, 2129 (1992); Teor. Mat. Fiz. 94, 213 (1993); V. Spiridonov, "Parasupersymmetry in quantum systems", in Proc. XX Int. Conf. on Differential Geometric Methods in Theor. Phys. (June 3-7, 1991, New York, USA), eds. S. Catto and A. Rocha (World Scientific, 1992), Vol. 1, p. 622; A. P. Isaev, "Para-Grassmann integral, discrete systems and quantum groups", preprint q-alg/9609030.
35. A. T. Filippov, A. P. Isaev, and A. P. Kurdikov, Mod. Phys. Lett. A7, 2129 (1992); Teor. Mat. Fiz. 94, 213 (1993); V. Spiridonov, "Parasupersymmetry in quantum systems", in Proc. XX Int. Conf. on Differential Geometric Methods in Theor. Phys. (June 3-7, 1991, New York, USA), eds. S. Catto and A. Rocha (World Scientific, 1992), Vol. 1, p. 622; A. P. Isaev, "Para-Grassmann integral, discrete systems and quantum groups", preprint q-alg/9609030.
36. A. T. Filippov, A. P. Isaev, and A. P. Kurdikov, Mod. Phys. Lett. A7, 2129 (1992); Teor. Mat. Fiz. 94, 213 (1993); V. Spiridonov, "Parasupersymmetry in quantum systems", in Proc. XX Int. Conf. on Differential Geometric Methods in Theor. Phys. (June 3-7, 1991, New York, USA), eds. S. Catto and A. Rocha (World Scientific, 1992), Vol. 1, p. 622; A. P. Isaev, "Para-Grassmann integral, discrete systems and quantum groups", preprint q-alg/9609030.
37. R. Jackiw and S. Templeton, Phys. Rev. D23, 2291 (1981); J. Schonfeld, Nucl. Phys. B185, 157 (1981); S. Deser, R. Jackiw, and S. Templeton, Phys. Rev. Lett. 48, 975 (1982).
38. R. Jackiw and S. Templeton, Phys. Rev. D23, 2291 (1981); J. Schonfeld, Nucl. Phys. B185, 157 (1981); S. Deser, R. Jackiw, and S. Templeton, Phys. Rev. Lett. 48, 975 (1982).
39. R. Jackiw and S. Templeton, Phys. Rev. D23, 2291 (1981); J. Schonfeld, Nucl. Phys. B185, 157 (1981); S. Deser, R. Jackiw, and S. Templeton, Phys. Rev. Lett. 48, 975 (1982).
40. E. Majorana, Nuovo Cimento 9, 335 (1932).
41. W. Chen and Ch. Itoi, Nucl. Phys. B435, 690 (1995).
42. S. V. Shabadov, Mod. Phys. Lett. A10, 941 (1995).
43. J. L. Cortés, M. S. Plyushchay and L. Velázquez, Phys. Lett. B306, 34, (1993); D. M. Gitman, A. E. Gonçalves and I. V. Tyutin, Phys. Rev. D50, 5439 (1994); J. L. Cortés and M. S. Plyushchay, Comment on "New pseudoclassical model for Weyl particles", preprint hep-th/9602106; D. M. Gitman, "Path integrals and pseudoclassical description for spinning particles in arbitrary dimensions", preprint hep- th/9608180.
44. J. L. Cortés, M. S. Plyushchay and L. Velázquez, Phys. Lett. B306, 34, (1993); D. M. Gitman, A. E. Gonçalves and I. V. Tyutin, Phys. Rev. D50, 5439 (1994); J. L. Cortés and M. S. Plyushchay, Comment on "New pseudoclassical model for Weyl particles", preprint hep-th/9602106; D. M. Gitman, "Path integrals and pseudoclassical description for spinning particles in arbitrary dimensions", preprint hep- th/9608180.
45. J. L. Cortés, M. S. Plyushchay and L. Velázquez, Phys. Lett. B306, 34, (1993); D. M. Gitman, A. E. Gonçalves and I. V. Tyutin, Phys. Rev. D50, 5439 (1994); J. L. Cortés and M. S. Plyushchay, Comment on "New pseudoclassical model for Weyl particles", preprint hep-th/9602106; D. M. Gitman, "Path integrals and pseudoclassical description for spinning particles in arbitrary dimensions", preprint hep- th/9608180.
46. J. L. Cortés, M. S. Plyushchay and L. Velázquez, Phys. Lett. B306, 34, (1993); D. M. Gitman, A. E. Gonçalves and I. V. Tyutin, Phys. Rev. D50, 5439 (1994); J. L. Cortés and M. S. Plyushchay, Comment on "New pseudoclassical model for Weyl particles", preprint hep-th/9602106; D. M. Gitman, "Path integrals and pseudoclassical description for spinning particles in arbitrary dimensions", preprint hep-th/9608180.