International Journal of Theoretical Physics

, Volume 46, Issue 11, pp 2725–2737 | Cite as

Bosonization and Fermionization of the Superstring Oscillators

Article
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Abstract

In this manuscript we consider the transformations of the oscillators of the bosonic fields of the superstring in terms of the fermions oscillators and vice versa. We demand the exchange of the commutation and anti-commutation relations of the oscillators. Therefore, we obtain some conditions on the Grassmannian matrices that appear in these transformations. We observe that there are several methods to obtain these conditions. In addition, adjoints of the matrix elements and T-duality of these matrices will be obtained. The effects of this bosonization and fermionization on the mass operators and on some massless states will be studied. The covariant formalism will be used and hence we consider both the matter parts and the ghost parts of the superstring theory.

Keywords

Bosonization Fermionization Superstring 
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References

  1. 1.
    Coleman, S.: Phys. Rev. D 11, 2088 (1975) CrossRefADSGoogle Scholar
  2. 2.
    Mandelstam, S.: Phys. Rev. D 11, 3026 (1975) CrossRefADSMathSciNetGoogle Scholar
  3. 3.
    Witten, E.: Commun. Math. Phys. 92, 455 (1984) MATHCrossRefADSMathSciNetGoogle Scholar
  4. 4.
    Schaposnik, F.A.: Phys. Lett. B 356, 39 (1995) CrossRefADSMathSciNetGoogle Scholar
  5. 5.
    Damgaard, P.H., Nielsen, H.B., Sollacher, R.: Nucl. Phys. B 385, 227 (1992) CrossRefADSMathSciNetGoogle Scholar
  6. 6.
    Damgaard, P.H., Nielsen, H.B., Sollacher, R.: Nucl. Phys. B 414, 541 (1994) CrossRefADSGoogle Scholar
  7. 7.
    Damgaard, P.H., Nielsen, H.B., Sollacher, R.: Phys. Lett. B 296, 132 (1992) CrossRefADSGoogle Scholar
  8. 8.
    Damgaard, P.H., Nielsen, H.B., Sollacher, R.: Nucl. Phys. B 322, 131 (1994) Google Scholar
  9. 9.
    Damgaard, P.H., Sollacher, R.: Nucl. Phys. B 433, 671 (1995) MATHCrossRefADSMathSciNetGoogle Scholar
  10. 10.
    Banerjee, N., Banerjee, R.: Nucl. Phys. B 445, 516 (1995) MATHCrossRefADSGoogle Scholar
  11. 11.
    Burgess, C.P., Lutken, C.A., Quevedo, F.: Phys. Lett. B 336, 18 (1994) CrossRefADSMathSciNetGoogle Scholar
  12. 12.
    Burgess, C.P., Quevedo, F.: Nucl. Phys. B 421, 373 (1994) MATHCrossRefADSMathSciNetGoogle Scholar
  13. 13.
    Banerjee, R.: Nucl. Phys. B 465, 157 (1996) MATHCrossRefADSGoogle Scholar
  14. 14.
    Fradkin, E., Schaposnik, F.A.: Phys. Lett. B 338, 253 (1994) MATHCrossRefADSMathSciNetGoogle Scholar
  15. 15.
    Banerjee, R.: Phys. Lett. B 358, 297 (1995) CrossRefADSMathSciNetGoogle Scholar
  16. 16.
    Marino, E.C.: Phys. Lett. B 263, 63 (1991) CrossRefADSMathSciNetGoogle Scholar
  17. 17.
    Dhar, A.: JHEP 0507, 064 (2005), hep-th/0505084 CrossRefADSMathSciNetGoogle Scholar
  18. 18.
    Lerche, W., Schellekens, A.N.: Preprint TH 4925, CERN (1987) Google Scholar
  19. 19.
    Kawai, H., Lewellen, D.C., Tye, S.-H.: Nucl. Phys. B 288, 1 (1987) CrossRefADSMathSciNetGoogle Scholar
  20. 20.
    Antoniadis, I., Bachas, C.P., Kounnas, C.: Nucl. Phys. B 289, 87 (1987) CrossRefADSMathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Faculty of PhysicsAmirkabir University of TechnologyTehranIran

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