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CPT groups for spinor field in de Sitter space. (English) Zbl 1247.81196
Summary: A group structure of the discrete transformations (parity, time reversal and charge conjugation) for spinor field in de Sitter space are studied in terms of extraspecial finite groups. Two CPT groups are introduced, the first group from an analysis of the de Sitter-Dirac wave equation for spinor field, and the second group from a purely algebraic approach based on the automorphism set of Clifford algebras. It is shown that both groups are isomorphic to each other.

MSC:
81R25 Spinor and twistor methods applied to problems in quantum theory
81T20 Quantum field theory on curved space or space-time backgrounds
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