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Soviet Physics Journal

, Volume 32, Issue 4, pp 291–294 | Cite as

Definition of superspace in the theory of supergravity

  • O. A. Zakharov
Physics of Elementary Particles and Field Theory
  • 25 Downloads

Abstract

A mathematically rigorous treatment of superspace with even and odd coordinates leads to the appearance of a nilpotent part for even coordinates. Hence, a problem arises in the physical interpretation of the theory of supergravity.

Keywords

Physical Interpretation Rigorous Treatment Nilpotent Part 
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Literature cited

  1. 1.
    S. Ferrara and J. Taylor (eds.), Supergravity '81, Cambridge University Press, Cambridge, London (1982).Google Scholar
  2. 2.
    J. Wess and J. Begger, Supersymmetry and Supergravity [Russian translation], Mir, Moscow (1986).Google Scholar
  3. 3.
    F. A. Berezin, Introduction to Algebra and Analysis with Anticommuting Variables [in Russian], Moscow State University Press, Moscow (1983).Google Scholar
  4. 4.
    B. Konstant, Graded Manifolds, Graded Lie Theory, and Prequantization, in: Lecture Notes in Mathematics,570, Springer-Verlag, New York (1977), p. 177.Google Scholar
  5. 5.
    M. Batchelor, Trans. Am. Math. Soc.,253, 329 (1979); 258, 257 (1980).Google Scholar
  6. 6.
    A. Rogers, J. Math. Phys.,21, 1352 (1980); 22, 939 (1981).Google Scholar
  7. 7.
    B. De Witt, Supermanifolds, Cambridge University Press, Cambridge (1984).Google Scholar
  8. 8.
    A. Rogers, J. Math. Phys.,26, 392 (1985);27, 710 (1986).Google Scholar
  9. 10.
    R. Catenacci, C. Reina, and P. Teofilatto, J. Math. Phys.,26, 671 (1985).Google Scholar
  10. 11.
    D. Ivanenko and G. Sardanashvily, Phys. Rep.,94, 1 (1983).Google Scholar
  11. 12.
    D. D. Ivanenko, P. I. Pronin, and G. A. Sardanashvili, Gauge Theory of Gravity [in Russian], Moscow State University Press, Moscow (1985).Google Scholar
  12. 13.
    D. Ivanenko and G. Sardanashvily, Progr. Teor. Phys.,75, No. 4, 969 (1986).Google Scholar
  13. 14.
    G. Sardanashvily and O. Zakharov, Pramana.-J. Phys.,26, 1295 (1986).Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • O. A. Zakharov
    • 1
  1. 1.M. V. Lomonosov State UniversityMoscow

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