Skip to main content
SpringerLink
Log in

Geometrization in the Yang-Mills extended supergravity and Klein-Kaluza versions

  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

We relate personal encounters of three kinds with geometrical approaches, in the development of a relativistic quantum field theory of the fundamental interactions—including interactions with Nathan Rosen. We characterize the geometrical structures involved and discuss the more recent attempts to develop a unified theory based on a Klein-Kaluza contraction of the eightfold extended supergravity.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Y. Ne'eman, inSymmetries in Physics 1600–1980, M. G. Doncel, ed., Proceedings of the First International Meeting on the History of Scientific Ideas, Barcelona, 1983.

  2. Y. Ne'eman,Nucl. Phys. 26, 222 (1961).

    Google Scholar 

  3. Y. Ne'eman,Nucl. Phys. 26, 260 (1961).

    Google Scholar 

  4. Y. Ne'eman,Nucl. Phys. 30, 347 (1962).

    Google Scholar 

  5. Y. Ne'eman,Nuovo Cimento 27, 1 (1963).

    Google Scholar 

  6. N. Rosen, J. Rosen, and Y. Ne'eman, inSymmetry Principles at High Energy, B. Kursunoglu, and A. Perlmutter, eds. (W. H. Freeman, San Francisco, 1964), p. 93.

    Google Scholar 

  7. J. Rosen and Y. Ne'eman,Ann. Phys. (N.Y.) 31, 391 (1965).

    Google Scholar 

  8. Y. Ne'eman and I. Robinson,Rev. Mod. Phys. 37, 201 (1965).

    Google Scholar 

  9. Y. Ne'eman,Rev. Mod. Phys. 37, 227 (1965).

    Google Scholar 

  10. Y. Ne'eman,Phys. Lett. 14, 327 (1965).

    Google Scholar 

  11. J. H. Schwarz,Phys. Rep. C 8, 269 (1973).

    Google Scholar 

  12. R. Haag, J. T. Lopuszánski, and M. Sohnius,Nucl. Phys. B 88, 257 (1975).

    Google Scholar 

  13. M. Gell-Mann and Y. Ne'eman, Aspen Institute Lecture, 1976.

  14. N. Rosen and G. Tauber,Found. Phys. 14, 171 (1984).

    Google Scholar 

  15. S. Weinberg, A. Salam, and S. L. Glashow,Rev. Mod. Phys. 52, 515–544 (1980), and references cited therein.

    Google Scholar 

  16. C. N. Yang and R. L. Mills,Phys. Rev. 96, 191 (1954); R. Shaw, Ph.D. Thesis, Cambridge University, 1955.

    Google Scholar 

  17. Y. Nambu and G. Jona Lasinio,Phys. Rev. 122, 345 (1961); J. Goldstone,Nuovo Cimento 19, 154 (1961); P. W. Anderson,Phys. Rev. 130, 439 (1963); P. W. Higgs,Phys. Lett. 12, 132 (1964); F. Englert and R. Brout,Phys. Rev. Lett. 13, 321 (1964); G. S. Guralnik, C. R. Hagen, and T. W. B. Kibble,Phys. Rev. Lett. 13, 585 (1964).

    Google Scholar 

  18. M. Y. Han and Y. Nambu,Phys. Rev. B 139, 1006 (1965); S. Weinberg,Phys. Rev. Lett. 31, 494 (1973); W. A. Bardeen, H. Fritzsch, and M. Gell-Mann, inScale and Conformal Symmetry in Hadron Physics, R. Gatto, ed. (Wiley, New York, 1973), p. 139.

    Google Scholar 

  19. H. Weyl,Z. Phys. 56, 330 (1929).

    Google Scholar 

  20. E. Lubkin,Ann. Phys. (N.Y.) 23, 233 (1963); T. T. Wu and C. N. Yang,Phys. Rev. D 12, 3845 (1975).

    Google Scholar 

  21. C. N. Yang, inFive Decades of Weak Interactions (R. G. MarshakFestschrift), N. P. Chang, ed.;Ann. N.Y. Acad. Sci. 294, 86 (1977).

  22. J. Thierry-Mieg,J. Math. Phys. 21, 2834 (1980);Nuovo Cimento A 56, 396 (1980); Y. Ne'eman and J. Thierry-Mieg,Proc. Natl. Acad. Sci. USA 77, 720 (1980).

    Google Scholar 

  23. A. M. Polyakov,Phys. Lett. B 59, 82 (1975); A. A. Belyavin, A. M. Polyakov, A. S. Schwartz, and Yu. S. Tyupkin,Phys. Lett. B 59, 85 (1975); G. 't Hooft,Phys. Rev. Lett. 37, 8 (1976).

    Google Scholar 

  24. G. 't Hooft,Nucl. Phys. B 79, 276 (1974); A. M. Polyakov,JETP Lett. 20, 194 (1974).

    Google Scholar 

  25. S. Coleman, in“New Phenomena in Subnuclear Physics,” Proc. 1975 International School of Subnuclear Phys. (Ettore Majorana, Erice, Italy), A. Zichichi, ed. (Plenum Press, N.Y. 1977), Part A, pp. 297–442; R. D'Auriá, P. Fré, and T. Regge,Riv. Nuovo Cimento (Ser 3) 12, 1 (1980).

    Google Scholar 

  26. Y. Ne'eman and T. Regge,Riv. Nuovo Cimento (Ser 3) 1 (1978); A. d'Adda, R. D'Auria, P. Fré, and T. Regge,Riv. Nuovo Cimento (Ser 3) 6, 1 (1980).

  27. Y. Ne'eman, E. Takasugi, and J. Thierry-Mieg,Phys. Rev. D 22, 2371 (1980).

    Google Scholar 

  28. J. Thierry-Mieg and Y. Ne'eman,Ann. Phys. (N.Y.) 123, 247 (1979).

    Google Scholar 

  29. Y. Ne'eman, inCosmology and Gravitation, Spin Torsion, Rotation, and Supergravity, P. G. Bergmann and V. de Sabbata, eds. (Plenum, New York, 1980) (Nato Advanced Study Institutes Series B, Vol. 58), pp. 177–226.

    Google Scholar 

  30. Yu. A. Gelfand and E. P. Likhtman,JETP Lett. 13, 452 (1971); J. Wess and B. Zumino,Nucl. Phys. B 70, 39 (1974); A. Salam and J. Strathdee,Nucl. Phys. B 76, 477 (1974); L. Corwin, Y. Ne'eman, and S. Sternberg,Rev. Mod. Phys. 47, 573 (1975).

    Google Scholar 

  31. M. Gell-Mann and Y. Ne'eman, lecture at the 1976 Aspen Institute (unpublished).

  32. A. d'Adda, R. D'Auria, P. Fré, and T. Regge,Riv. Nuovo Cimento (Ser 3) 6, 1 (1980).

    Google Scholar 

  33. F. A. Berezin, report ITEP-71, Moscow (1979).

  34. Y. Ne'eman, inDifferential Geometric Methods in Theoretical Physics (Proceedings of the Clausthal, 1983, XIIth International Conference), H. D. Doebner, ed. (Springer Lecture Notes in Mathematics) (Springer-Verlag, New York, 1984).

    Google Scholar 

  35. M. Gell-Mann, lecture at Washington APS meeting (1978), unpublished.

  36. J. Wess and B. Zumino,Phys. Lett. B 49, 52 (1974).

    Google Scholar 

  37. M. Grisaru, M. Rocek, and W. Siegel,Nucl. Phys. B 183, 141 (1981); L. V. Avdeev, O. V. Tarasov, and A. A. Vladimirov,Phys. Lett. B 96, 94 (1980); S. Mandelstam,Nucl. Phys. B 213, 149 (1983).

    Google Scholar 

  38. E. Cremmer and B. Julia,Phys. Lett. B 80, 48 (1978); E. Cremmer, B. Julia, and J. Scherk,Phys. Lett. B 76, 409 (1978); B. de Wit and H. Nicolai,Phys. Lett. B 108, 285 (1982).

    Google Scholar 

  39. P. G. O. Freund and M. A. Rubin,Phys. Lett. B 97, 233 (1950).

    Google Scholar 

  40. F. Englert,Phys. Lett. B 119, 339 (1982); B. Biran, A. Casher, F. Englert, M. Rooman, and P. Spindel,Phys. Lett. B 134, 179 (1984); Y. Fujii, T. Inami, M. Kato, and N. Ohta,Phys. Lett. B 131, 319 (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Ministry of Science and Development, Jerusalem, Israel

    Yuval Ne'eman

Authors
  1. Yuval Ne'eman
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Invited paper, dedicated to Nathan Rosen on the occasion of his seventy-fifth birthday.

On leave from Tel Aviv University, Israel, and the University of Texas at Austin, Texas.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ne'eman, Y. Geometrization in the Yang-Mills extended supergravity and Klein-Kaluza versions. Found Phys 15, 261–277 (1985). https://doi.org/10.1007/BF00737317

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00737317

Keywords

Search

Navigation