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Geometric description of extended BRS symmetry in superfield formulation

Геометрическое описание обобщенной BRS симметрии в суперполевой формулировке

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Il Nuovo Cimento A (1965-1970)

Summary

We present here the geometry of the superfield formulation of the extended BRS symmetry. The Faddeev-Popov ghost fields appear as parameters of a gauge transformation in a suitable geometrical structureQ(M S,G S), a fibre bundle constructed over a 4+2 superspaceM S with a suitable supergroupG S as «structure group».

Riassunto

In questo lavoro si presenta la geometria della formulazione con supercampi della simmetria estesa di BRS. I campi di Faddeev-Popov appaiono come parametri di una trasformazione di gauge in un'opportuna struttura geometricaQ(M S,G S), uno spazio fibrato costruito su un superspazioM S a 4+2 dimensioni e con un opportuno supergruppoG S come «gruppo di struttura».

Резюме

Мы предлагаем геометрию суперполевой формулировки обощенной BRS симметрии. Поля духов Фаддеева-Попова возникают, как параметры калибровочного преобразования в соответствующей геометрической структуреQ(M S,G S); семействе нитей, сконструированном на 4+2 суперпространствеM S с соответвующей супергруппойG S, как «структурной группой».

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References

  1. T. T. Wu andC. N. Yang:Phys. Rev. D,12, 3845 (1975).

    Article  MathSciNet  ADS  Google Scholar 

  2. J. Thierry-Mieg:Nuovo Cimento A,56, 396 (1980);J. Math. Phys. (N. Y.),21, 2834 (1980).

    Article  MathSciNet  ADS  Google Scholar 

  3. M. Quiros, F. J. de Urriés, J. Moyos, M. L. Mazon andE. Rodriguez:Geometrical structure of Faddeev-Popov fields and invariance properties of gauge theories, Madrid preprint.

  4. G. Curci andR. Ferrari:Nuovo Cimento A,32, 151 (1976).

    Article  ADS  Google Scholar 

  5. I. Ojima:Another BRStransformation, Kyoto preprint to appear inProg. Theor. Phys.

  6. M. Quiros andF. J. de Urriés:New generalized Ward-Takahashi identities in gauge theories, Madrid preprint.

  7. L. Bonora andM. Tonin:Superfield formulation of extended BRSsymmetry, Padova preprint IFPD 20/80, to appear inPhys. Lett. B.

  8. V. Rittenberg andM. Scheunert:J. Math. Phys. (N. Y.),19, 709 (1978);F. E. Berezin andD. A. Leites:Dokl. Akad. Nauk SSSR,224, 505 (1975) (Sov. Math. Dokl.,16, 1218 (1975));F. A. Berezin: ITEP 66, 75–78, Moscow (1977).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  9. A. Rogers:J. Math. Phys. (N. Y.),21, 1352 (1980).

    Article  MATH  ADS  Google Scholar 

  10. O. Husemoller:Fibre Bundle (New York, N. Y., 1966).

  11. S. Kobayashi andK. Nomizu:Foundation of Differential Geometry, Vol. I (New York, N. Y., 1963).

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Bonora, L., Pasti, P. & Tonin, M. Geometric description of extended BRS symmetry in superfield formulation. Nuov Cim A 63, 353–364 (1981). https://doi.org/10.1007/BF02772516

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  • DOI: https://doi.org/10.1007/BF02772516

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