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
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).
E. Kähler,Rendiconti di Matematica 21 (3/4), 425 (1962).
F. Gürsey,Rev. Fac. Sci. Univ. Istanbul,A21, 33, 85 (1956).
J. Rabin,Nucl. Phys. B201, 315 (1982); P. Becher,Phys. Lett. B104, 221 (1981).
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).
J. Wess and B. Zumino,Nucl. Phys. B70, 39 (1974).
D. V. Volkov and V. P. Akulov,Phys. Lett. 46B, 109 (1973).
S. Catto and F. Gürsey,Lett. Nuovo Cimento 35, 241 (1982).
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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