Abstract
Using a systematic notation we give a unified presentation of the spinors space and the vector space C4, of complex spacetime, as a single mathematical system, as well as the real spacetime subalgebras and the three dimensional cut-offs. This allows a compact Clifford analysis of the relationship between the vector space and space-time spinors and their symmetries. The system is applied to construct a theory of elementary particles and their interaction fields, which is unified and contains the standard SU(3)xSU(2)xU(1) gauge symmetry.
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Keller, J. (1986). A System of Vectors and Spinors in Complex Spacetime and their Application to Elementary Particle Physics. In: Chisholm, J.S.R., Common, A.K. (eds) Clifford Algebras and Their Applications in Mathematical Physics. NATO ASI Series, vol 183. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4728-3_36
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DOI: https://doi.org/10.1007/978-94-009-4728-3_36
Publisher Name: Springer, Dordrecht
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