Abstract
It is suggested that a dynamical space-time symmetry group of a given non-linear relativistic theory is able to generate an internal symmetry group. It is shown that onlyO(2N-1, 1) andO(2N, 1) groups are admitted as simple dynamical symmetry groups, and they implyU(2N−2) as the largest internal symmetry groups. The boson and fermion content of the considered models is determined and a new dynamical symmetry breaking mechanism, different from the spontaneous one, is introduced.
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The author would like to thank Professor J. Niederle for the kind hospitality extended to him during his stay at Bechyně.
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Furlan, P. Internal symmetries from field theories in higher dimensions. Czech J Phys 32, 634–644 (1982). https://doi.org/10.1007/BF01596708
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DOI: https://doi.org/10.1007/BF01596708