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A Dirac algebraic approach to supersymmetry

  • Part II. Invited Papers Dedicated To Paul Adrien Maurice Dirac
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Abstract

The power of the Dirac algebra is illustrated through the Kähler correspondence between a pair of Dirac spinors and a 16-component bosonic field. The SO(5, 1) group acts on both the fermion and boson fields, leading to a supersymmetric equation of the Dirac type involving all these fields.

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References

  1. P. A. M. Dirac,Proc. Roy. Soc. (London) A117, 610 (1928);A118, 351 (1928);A126, 360 (1930);A136, 453 (1932);Proc. Cambridge Phil. Soc. 26, 361 (1930);Proc. 7th Solvay Conference (Gauthier-Villars, Paris, 1934);Ann. Inst. Henri Poincaré,9, 13 (1939).

    Google Scholar 

  2. E. Kähler,Rendiconti di Matematica 21 (3/4), 425 (1962).

    Google Scholar 

  3. F. Gürsey,Rev. Fac. Sci. Univ. Istanbul,A21, 33, 85 (1956).

    Google Scholar 

  4. J. Rabin,Nucl. Phys. B201, 315 (1982); P. Becher,Phys. Lett. B104, 221 (1981).

    Article  Google Scholar 

  5. P. A. M. Dirac,Ann. Math. 37, 429 (1936);Proc. Roy. Soc. (London),A115, 447 (1936);A183, 284 (1945);Proc. Roy. Irish Acad. (Dublin),A50, 261 (1945);J. Math. Phys. 4, 901 (1963);Proc. Roy. Soc. (London),A322, 435 (1971).

    MathSciNet  Google Scholar 

  6. J. Wess and B. Zumino,Nucl. Phys. B70, 39 (1974).

    Article  Google Scholar 

  7. D. V. Volkov and V. P. Akulov,Phys. Lett. 46B, 109 (1973).

    Google Scholar 

  8. S. Catto and F. Gürsey,Lett. Nuovo Cimento 35, 241 (1982).

    Google Scholar 

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Research supported in part by the U.S. Department of Energy under Contract No. DE-AC-02-76 ERO 3075.

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Gürsey, F. A Dirac algebraic approach to supersymmetry. Found Phys 13, 289–296 (1983). https://doi.org/10.1007/BF01906178

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  • DOI: https://doi.org/10.1007/BF01906178

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