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Fractional supersymmetric model on the\(M\not C_n \) spacesspaces

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Abstract

Supersymmetry can be consistently generalized inn-dimensional multicomplex space, an-D Fractional supersymmetry theory is constructed via an algebraic method, using\(M\not C_n \) as a GCA the local invariant action is derived. The generators FSUSY here can be extended to getn-copies of Fractional-supervirasoro algebra.

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References

  1. Roby N.,C.R. Acad. Sc. Paris 268, 484 (1969); Revoy Ph.C.R. Acad. Sc. Paris 284, 985 (1977).

    MATH  MathSciNet  Google Scholar 

  2. Chils L.N.,Lin. Mult. Alg. 5, 267 (1978).

    Article  Google Scholar 

  3. Fleury N. and M. Rausch de Traubenberg,J. Math. Phys. 33, 3356 (1992); Fleury N. and M. Rausch de Traubenberg,Advances in Applied Clifford Algebras,4, (2) 123 (1994).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. Morinaga K. and T. Nõno,J. of Sc. of Hirishima Univ. Ser. A 16, 13 (1952); Yamazaki K.,J. Fac. Tokyo Sect. 1 10, 147, (1964); Morris A.O.,Quart J. Math., Oxford19, 289 (1968).

    MATH  Google Scholar 

  5. Kwasniewski A. K.,J. Math. Phys. 26, 2234 (1985).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. Fleury N., M. Rausch de Traubenberg and R. Yamaleev,J. Math. Anal. Appl. 180, 431 (1993).

    Article  MATH  MathSciNet  Google Scholar 

  7. Fleury N., M. Rausch de Traubenberg and R. Yamaleev,J. Math. Anal. Appl. 191, 118 (1995).

    Article  MATH  MathSciNet  Google Scholar 

  8. Ouarab A., E. H. El Kinani and M. Zakkari,IJTP,37, No. 4 (1998)

  9. Ouarab A. and M. Zakkari, Bosonic action on the\(M\not C_n \) spaces and the underlying geometric structure, submitted to J. of Math. Anal. Appl.

  10. Durant S.,Phys Lett. B312, 115, (1993);Mod. Physl. Lett. A8, 2323 (1993); Debergh N.,J. Phys. A26, 7219 (1993); Mohammedi N.,Mod. Phys. Lett. A10, 1287 (1995); Matheus-Valle J. L. and Marcos A. R. Monteiro,Mod. Physl. Lett. A7 (1992); Calatto L.P. and J.L. Matheus-Valle, On q-deformed classical mechanical models,I.C.T.P., Trieste, preprint April 1995.

    ADS  Google Scholar 

  11. de Azcàrraga J.A. and A.J. Macfarlane,J. Math. Phys. 37, 1115 (1996), hepth/9506177.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  12. Fleury N. and M. Rausch de Traubenberg,Mod. Phys. Lett. A11 (1996)

  13. Perez A., M. Rausch de Traubenberg and P. Simon,Nuclear Physics B482, 325–344 (1996).

    Article  MATH  MathSciNet  Google Scholar 

  14. Durand S.,Mod. Phys. Lett. A7, 2905 (1992); Matheus-Valle J.L. and Marco A.R., Monteiro,Mod. Phys. Lett. A7, 3023 (1992); Durand S.,Mod. Phys. Lett. A8, 2323 (1993); Matheus-Valle J.L. and Marcos A. R. Monteiro,Phys. Lett. B300, 66 (1993); Rausch de Traubenberg M. and M. Slupinski,Mod. Phys. Lett. A12, 3051 (1997).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  15. Rausch de Traubenberg M., Clifford Algebras Supersymmetry and Zn-symmetries: applications in field theory, (Habiliation, in French, unpublished), LPT 97-02 hep-th/9802141

  16. Green M.B., J. H. Schwarz and E. Witten, Superstring theory, Cambridge University Press (1987).

  17. Baulieu L. and E. G. Floratos,Phys. Lett. B258, 171 (1991).

    MathSciNet  Google Scholar 

  18. Ouarab A. and M. Zakkari, Free strins and superstrings on the\(M\not C_n \) spaces, accepted for publication inJournal of Geometry and Physics (N. 1046).

  19. de Azcàrraga J.A., R. S. Dune, A. J. Macfarlane and J. C. Perez Bueno,Int. J. Mod. Phys. A12, 3275 (1997).

    Article  MATH  ADS  Google Scholar 

  20. Wess J. and B. Zumino,Nucl. Phys. B78, 1 (1974).

    Article  ADS  MathSciNet  Google Scholar 

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  1. Dépt. de Physique, L.P.T., Faculté des Sciences, BP 1014, Rabat, Morocco

    A. Ouarab

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  1. A. Ouarab
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Ouarab, A. Fractional supersymmetric model on the\(M\not C_n \) spacesspaces. AACA 9, 201–214 (1999). https://doi.org/10.1007/BF03042374

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  • DOI: https://doi.org/10.1007/BF03042374

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