How to generate families of spinors

N. Mankoc Borstnik; H. B. Nielsen

doi:10.1063/1.1610239

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arXiv · hep-th/0303224

How to generate families of spinors

N. Mankoc Borstnik·H. B. Nielsen

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Abstract

Using a technique \cite{holgernorma2002} to construct a basis for spinors and ``families'' of spinors in terms of Clifford algebra objects, we define other Clifford algebra objects, which transform the state of one ''family'' of spinors into the state of another ''family'' of spinors, changing nothing but the ''family'' number. The proposed transformation works - as does the technique - for all dimensions and any signature and might open a path to understanding families of quarks and leptons\cite{norma92,norma93,normaixtapa2001,pikanorma2002}.

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N. Mankoc Borstnik, H. B. Nielsen. 2003-06-02. How to generate families of spinors. https://doi.org/10.1063/1.1610239

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