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Clifford Algebras and Spinors

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arxiv 1106.3197 v2 pith:TB4YWGYR submitted 2011-06-16 math-ph math.HOmath.MPphysics.hist-ph

Ivan Todorov This is my paper · ORCID
classification math-phmath.HOmath.MPphysics.hist-ph
keywords spinorsalgebrascliffordmajoranamassesnotesbackgroundbiographical
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Expository notes on Clifford algebras and spinors with a detailed discussion of Majorana, Weyl, and Dirac spinors. The paper is meant as a review of background material, needed, in particular, in now fashionable theoretical speculations on neutrino masses. It has a more mathematical flavour than the over twenty-seven-year-old "Introduction to Majorana masses" by P.D. Mannheim and includes historical notes and biographical data on past participants in the story.

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  1. Real Clifford algebras and their spinors for relativistic fermions

    hep-th 2019-08 conditional novelty 4.0 of 10

    Real Clifford algebras in all signatures are classified and spinors are constructed as minimal or quasi-minimal left ideals, with a structure map controlling the action of the pin group and defining two Dirac adjoints.

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