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Coloured supersymmetry

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Il Nuovo Cimento A (1965-1970)

Summary

We construct a supersymmetry algebra which satisfies the triality rules governing the multiplication of « coloured » quark variables. Quarks and leptons are treated on an equal footing. The affine structure imposed on the unified space of Fermionic and Minkowski co-ordinates forces the introduction of separate leptonic and hadronic (quark) variables. Some basic properties of dynamical superstructures based on the coloured superspace are discussed. It is pointed out, in particular, that supersymmetric theories based on coloured superspace allow for an interpretation of superfield components in terms of lepton and quark fields; the theory permits separate conservation of lepton and baryon numbers.

Riassunto

Si construisce un’algebra di supersimmetria che soddisfa le regole di trialità cui obbedisce la moltiplicazione di variabili di quark « colorati ». Quark e leptoni sono trattati sullo stesso piano. La struttura affine imposta sullo spazio unificato di coordinate fermioniche e di Minkowski forza l’introduzione di variabili leptoniche ed adroniche (quark) separate. Si discutono alcune proprietà basilari delle superstrutture dinamiche basate sul superspazio colorato. In particolare si puntualizza che le teorie supersimmetriche basate sul superspazio colorato permettono per un’interpretazione delle componenti del supercampo in termini di campi leptonici e di quark; la teoria ammette la conservazione separata dei numeri leptonici e barionici.

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Literatur

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Author notes

  1. R. Casalbuoni

    Present address: Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, Florence, Italy

  2. G. Domokos & S. Kövesi-Domokos

    Present address: Johns Hopkins University, 21218, Baltimore, Md.

Authors and Affiliations

  1. CERN, Geneva

    R. Casalbuoni, G. Domokos & S. Kövesi-Domokos

Authors
  1. R. Casalbuoni
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  2. G. Domokos
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  3. S. Kövesi-Domokos
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Additional information

Research supported in part by the U.S. Energy Research and Development Administration under Contract No. E(11-1)3285. Report No. COO 3285-28.

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Casalbuoni, R., Domokos, G. & Kövesi-Domokos, S. Coloured supersymmetry. Nuov Cim A 33, 432–446 (1976). https://doi.org/10.1007/BF02729861

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  • DOI: https://doi.org/10.1007/BF02729861

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