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arXiv · hep-th/9904134

Real Structures in Clifford Algebras and Majorana Conditions in Any Space-time

M. A. De Andrade·F. Toppan
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Abstract

Clifford algebras and Majorana conditions are analyzed in any spacetime. An index labeling inequivalent $Γ$-structures up to orthogonal conjugations is introduced. Inequivalent charge-operators in even-dimensions, invariant under Wick rotations, are considered. The hermiticity condition on free-spinors lagrangians is presented. The constraints put by the Majorana condition on the free-spinors dynamics are analyzed. Tables specifying which spacetimes admit lagrangians with non-vanishing kinetic, massive or pseudomassive terms (for both charge-operators in even dimensions) are given. The admissible free lagrangians for free Majorana-Weyl spinors are fully classified.

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M. A. De Andrade, F. Toppan. 1999-07-08. Real Structures in Clifford Algebras and Majorana Conditions in Any Space-time. https://doi.org/10.1142/s0217732399001899

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