Phys. Rev. D 25, 553 - 565 (1982)

Families from spinors

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Frank Wilczek
Institute for Theoretical Physics, University of California, Santa Barbara, California 93106

A. Zee
University of Washington, Seattle, Washington 98195

Received 23 June 1981

The possible utility of spinor representations of large orthogonal internal-symmetry groups is explored. The repetitive structure of families is incorporated quite naturally, but there is a difficulty with extra "conjugate" families having V+A weak currents. Possible methods for removing these conjugate families from the low-energy spectrum are discussed. An SO(18) example is discussed in some detail. An occurrence of spinors as a classification of composite particles is discussed. A long appendix discusses useful techniques for practical calculations involving spinors.


©1982 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevD.25.553
DOI: 10.1103/PhysRevD.25.553

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