How to generate families of spinors

Details How to generate families of spinors How to generate families of spinors

2003-03-26

arxiv.org/abs/hep-th/0303224v2

J.Math.Phys. 44 (2003) 4817-4827

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1063/1.1610239

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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