Abstract
Eugene Wigner defined particle physics as a study of group representations. Assuming spacetime to be essentially flat and therefore invariant under global (rigid) Poincaré transformations, it was Wigner’s genius to observe that elementary particle states must correspond to irreducible representations of the Poincaré group. Hence, the intrinsic particle properties mass and spin (M, J) should correspond to the eigenvalues of the Casimir operators that classify those representations.
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Zanelli, J. (2017). Unconventional supersymmetry: Local SUSY without SUGRA. In: Duarte, S., Gazeau, JP., Faci, S., Micklitz, T., Scherer, R., Toppan, F. (eds) Physical and Mathematical Aspects of Symmetries. Springer, Cham. https://doi.org/10.1007/978-3-319-69164-0_8
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DOI: https://doi.org/10.1007/978-3-319-69164-0_8
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