Abstract
We discuss the possibility of extracting the “square root” from the Dirac equation in N-extended supersymmetry, with the aim of constructing a more fundamental dynamical theory. Although a “square root” of the Dirac operator can be defined in N-extended superspace for N≤2, it is not possible to construct with its help a new dynamical model that meets the standard requirements imposed on the theory.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 5–9, March, 1990.
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Ketov, S.V., Prager, Y.S. “Square root” of the Dirac equation in extended supersymmetry. Soviet Physics Journal 33, 207–210 (1990). https://doi.org/10.1007/BF00895952
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DOI: https://doi.org/10.1007/BF00895952