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Geometry and Theoretical Physics pp 243–266Cite as

All Solutions of the Wess-Zumino Consistency Conditions

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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.

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References

  1. A. Borei and C. Chevalley, Mem. Amer. Math. Soc. 14, 1 (1955)

    Google Scholar 

  2. F. Brandt, N. Dragon and M. Kreuzer, Phys. Lett. 231B, 263 (1989)

    MathSciNet  Google Scholar 

  3. F. Brandt, N. Dragon and M. Kreuzer, Nucl. Phys. 332B, 224 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  4. F. Brandt, N. Dragon and M. Kreuzer, Nucl. Phys. 332B, 250 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  5. F. Brandt, N. Dragon and M. Kreuzer, Nucl. Phys. 340B, 187 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  6. L.D. Faddeev, Phys. Lett. 145B, 81 (1984)

    MathSciNet  Google Scholar 

  7. L. O’Raifertaigh, “Group Structure of Gauge Theories” ( Cambridge U.P., Cambridge 1986 )

    Book  Google Scholar 

  8. B. Zumino, in Relativity, Groups and Topology II, eds. B.S. DeWitt and R. Stora ( North-Holland, Amsterdam 1984 )

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  9. J. Wess and B. Zumino, Phys. Lett. 37B, 95 (1971)

    Article  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Institut für Theoretische Physik der Universität, Appelstraße 2, D(W)-3000, Hannover 1, Federal Republic of Germany

    Friedemann Brandt & Norbert Dragon

  2. Institute for Theoretical Physics, Univ. of California, Santa Barbara, CA, 93106, USA

    Maximilian Kreuzer

Authors
  1. Friedemann Brandt
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  2. Norbert Dragon
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  3. Maximilian Kreuzer
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Editor information

Editors and Affiliations

  1. Physikzentrum Bad Honnef, Hauptstraße 5, W-5340, Bad Honnef, Fed. Rep. of Germany

    Joachim Debrus

  2. Lehrstuhl für Theoretische Physik III, Universität Dortmund, Postfach 500500, W-4600, Dortmund 1, Fed. Rep. of Germany

    Allen C. Hirshfeld

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© 1991 Springer-Verlag Berlin Heidelberg

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Brandt, F., Dragon, N., Kreuzer, M. (1991). All Solutions of the Wess-Zumino Consistency Conditions. In: Debrus, J., Hirshfeld, A.C. (eds) Geometry and Theoretical Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76353-3_9

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  • DOI: https://doi.org/10.1007/978-3-642-76353-3_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-76355-7

  • Online ISBN: 978-3-642-76353-3

  • eBook Packages: Springer Book Archive

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