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Discrete symmetries in Kaluza-Klein theories. (English) Zbl 0537.53032

Summary: We formulate a CPT theorem for Minkowski space-times of any dimension \([C=ch\arg e\) conjugation, \(P=parity\), \(T=time\) reversal]; there is a distinction between the even- and odd-dimensional cases. Moreover, in odd dimensions fermion mass terms violate either C or T, and always violate P. We also discuss the appearance of CP violation in Kaluza-Klein models with massive fermions.

MSC:

53B50 Applications of local differential geometry to the sciences
83E15 Kaluza-Klein and other higher-dimensional theories
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