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Letters in Mathematical Physics

, Volume 3, Issue 1, pp 29–34 | Cite as

The Baker-Campbell-Hausdorff formula for the chiral su(2) supergroup

  • C. Aragone
  • A. Restuccia
Article

Abstract

In the theory of supersymmetricSU(2) Yang-Mills fields described on the 8th dimensional superspace, the local gauge transformations constitute a group whose Lie algebra has as coefficients belonging to the Weyl-spinorial Grassmann algebra.

We present here a Baker-Campbell-Hausdorff formula for the chiralSU(2) supergroup and using this formula we give the finite form of each element of this group in terms of the local fields emering in the infinitesimal real superscalar generator.

Keywords

Statistical Physic Group Theory Gauge Transformation Local Field Local Gauge 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Wess, J., Lectures given at the VIII GIFT International Seminar on Theoretical Physics, Salamanca, 1977.Google Scholar
  2. 2.
    WessJ., and ZuminoB.,Phys. Letters 66B, 361 (1977).Google Scholar
  3. 3.
    YangC.N.,Phys. Rev. D1, 2360 (1970).Google Scholar

Copyright information

© D. Reidel Publishing Company 1979

Authors and Affiliations

  • C. Aragone
    • 1
  • A. Restuccia
    • 2
  1. 1.International Centre for Theoretical PhysicsTriesteItaly
  2. 2.Departamento de FísicaUniversidad Simón BolivarCaracasVenezuela

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