Ternary algebras as the basis of a dynamical theory of subconstituents

  • Itzhak Bars
Gauge Theories
Part of the Lecture Notes in Physics book series (LNP, volume 135)


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  1. (1).
    I. Bars and M. Günaydin, Yale preprint YTP80-09, to be published in Phys. Rev. Lett. and manuscript in preparation.Google Scholar
  2. (2).
    This remark is due to F. Gürsey.Google Scholar
  3. (3).
    I. Bars and M. Günaydin, J. of Math. Phys. 20, 1977 (1979) and lectures by I. Bars and M. Günaydin in the roc. of the 8th Int. Colloq. on Group Theor. Methods in Physics March 1979, Kiriat Anavim, Israel.zbMATHCrossRefADSGoogle Scholar
  4. (4a).
    I. Bars and M. Günaydin, Yale preprint YTP79-05, to be published in the Phys. Rev. D.Google Scholar
  5. (4b).
    I. Bars and M. Günaydin, Yale preprint YTP80-14, to be published Phys. Lett.Google Scholar
  6. (5).
    J. L. Kantor, Sov. Math. Dokl. 44, 254 (1973) and Trudy Sem. Vector Anal. 16, 407 (1972)(Russian); B. N. Allison, Am. J. Math 98, 285 (1976) and 'ffans. Am. Math. Soc. 114, 75 (1976).Google Scholar
  7. (6).
    H. Harari, Phys. Lett. 86B, 83 (1979).ADSGoogle Scholar
  8. (7).
    This observation followed from a conversation with H. Harari. This ternary algebra is described by Kantor in ref. (5) and also in ref. (3).Google Scholar
  9. (8).
    J. Ellis, M. K. Gaillard, B. Zumino, CERN preprint, April 1980.Google Scholar
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    E. Cremmer and B. Julia, Phys. Lett. 80B, 48 (1978).ADSGoogle Scholar
  11. (10).
    A. D'Adda, M. Luscher, P. DiVecchia, Nucl. Phys. B146, 63 (1978).MathSciNetCrossRefADSGoogle Scholar
  12. (11).
    This model was independently constructed for different physical applications by a number of authors: C.K. Chao, T.T. Sheng, Y.T. Nan, Scientiae Sinica 22, 34 (1979); A.P. Balachandran, A. Stern, G. Trahern, Syracuse preprint SU-4213126 (1978)Google Scholar
  13. [11] a)
    I. Bars in ref. (3); F. Gürsey and C. Tze, Yale preprint, Aug. (1979); L. Lukierski, Summer Inst. Elem.,Part. Phys., Kaiserlautern, Germany, Aug. 1979Google Scholar
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    M. S. Narasimhan and S. Ramanan, Am. J. Math. 83, 563 (1961) and 85, 223 (1963).zbMATHMathSciNetCrossRefGoogle Scholar
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    E. Brezin, S. Hikami and J. Zinn-Justin, Saclay preprint 1980.Google Scholar
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    J. Lukierski and B. Milewski, Phys. Lett. B93, 91 (1980).ADSGoogle Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Itzhak Bars
    • 1
  1. 1.Physics Department J.W. Gibbs LaboratoryYale UniversityNew Haven

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