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All Solutions of the Wess-Zumino Consistency Conditions

  • Friedemann Brandt
  • Norbert Dragon
  • Maximilian Kreuzer

Abstract

For the case of a compact gauge group we list all solutions to the Wess-Zumino consistency equations which have to be satisfied by anomalies. We describe the main algebraic tools and theorems required for this complete classification. Our results answer the question whether in nonrenormalizable gauge theories there exist additional up-to-now unknown anomalies in the negative.

Keywords

Gauge Group Casimir Operator Ghost Number Form Degree Chiral Anomaly 
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.
    A. Borei and C. Chevalley, Mem. Amer. Math. Soc. 14, 1 (1955)Google Scholar
  2. 2.
    F. Brandt, N. Dragon and M. Kreuzer, Phys. Lett. 231B, 263 (1989)MathSciNetGoogle Scholar
  3. 3.
    F. Brandt, N. Dragon and M. Kreuzer, Nucl. Phys. 332B, 224 (1990)MathSciNetADSCrossRefGoogle Scholar
  4. 4.
    F. Brandt, N. Dragon and M. Kreuzer, Nucl. Phys. 332B, 250 (1990)MathSciNetADSCrossRefGoogle Scholar
  5. 5.
    F. Brandt, N. Dragon and M. Kreuzer, Nucl. Phys. 340B, 187 (1990)MathSciNetADSCrossRefGoogle Scholar
  6. 6.
    L.D. Faddeev, Phys. Lett. 145B, 81 (1984)MathSciNetGoogle Scholar
  7. 7.
    L. O’Raifertaigh, “Group Structure of Gauge Theories” ( Cambridge U.P., Cambridge 1986 )CrossRefGoogle Scholar
  8. 8.
    B. Zumino, in Relativity, Groups and Topology II, eds. B.S. DeWitt and R. Stora ( North-Holland, Amsterdam 1984 )Google Scholar
  9. 9.
    J. Wess and B. Zumino, Phys. Lett. 37B, 95 (1971)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Friedemann Brandt
    • 1
  • Norbert Dragon
    • 1
  • Maximilian Kreuzer
    • 2
  1. 1.Institut für Theoretische Physik der UniversitätHannover 1Federal Republic of Germany
  2. 2.Institute for Theoretical PhysicsUniv. of CaliforniaSanta BarbaraUSA

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