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Pauli theorem in the description of n-dimensional spinors in the Clifford algebra formalism

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Abstract

We discuss a generalized Pauli theorem and its possible applications for describing n-dimensional (Dirac, Weyl, Majorana, and Majorana-Weyl) spinors in the Clifford algebra formalism. We give the explicit form of elements that realize generalizations of Dirac, charge, and Majorana conjugations in the case of arbitrary space dimensions and signatures, using the notion of the Clifford algebra additional signature to describe conjugations. We show that the additional signature can take only certain values despite its dependence on the matrix representation

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Authors and Affiliations

  1. Steklov Mathematical Institute, RAS, Moscow, Russia

    D. S. Shirokov

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  1. D. S. Shirokov
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Correspondence to D. S. Shirokov.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 175, No. 1, pp. 11–34, April, 2013.

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Shirokov, D.S. Pauli theorem in the description of n-dimensional spinors in the Clifford algebra formalism. Theor Math Phys 175, 454–474 (2013). https://doi.org/10.1007/s11232-013-0038-9

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  • DOI: https://doi.org/10.1007/s11232-013-0038-9

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