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Geometry of standard constraints and anomalous supersymmetric gauge theories

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Part of the Lecture Notes in Mathematics book series (LNMCIME,volume 1451)

Abstract

Supermanifold theory is used to give a geometric interpretation of the standard constraints which are imposed in superspace formulations of supersymmetric gauge theories. The results obtained are exploited, together with a few facts from supermanifold cohomology, to provide a simple proof of Weil triviality in anomalous supersymmetric gauge theories.

Keywords

  • Supersymmetric Gauge Theory
  • Curvature Form
  • Connection Form
  • Ghost Number
  • BRST Transformation

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. Witten, E. Nucl. Phys. B266, 245 (1986); and references therein.

    CrossRef  Google Scholar 

  2. Bonora, L., Pasti, P. and Tonin, M., Nucl. Phys. B286, 150 (1987); and in ‘Field and Geometry,’ A. Jadczyk ed. (Singapore, World Scientific 1987).

    CrossRef  MathSciNet  Google Scholar 

  3. De Witt, B., ‘Supermanifolds’ (London, Cambridge Univ. Press 1984).

    MATH  Google Scholar 

  4. Rogers, A., J. Math. Phys. 21, 1352 (1980); Commun. Math. Phys. 105, 375 (1986).

    CrossRef  MathSciNet  Google Scholar 

  5. Bartocci, C. and Bruzzo, U., J. Geom. Phys. 4, 391 (1987).

    CrossRef  MathSciNet  Google Scholar 

  6. Bartocci, C., Bruzzo, U. and Hernández Ruipérez, D., “A remark on a new category of supermanifolds,” Preprint, Dip. di Matematica Univ. di Genova.

    Google Scholar 

  7. Rothstein, M., Trans. Amer. Math. Soc. 297, 159 (1986).

    CrossRef  MathSciNet  Google Scholar 

  8. Bruzzo, U., in “Differential Geometric Methods in Theoretical Physics,” K. Bleuler and M. Werner eds. (Kluwer, to appear).

    Google Scholar 

  9. Rabin, J. M., Commun. Math. Phys. 108, 375 (1987).

    CrossRef  MathSciNet  Google Scholar 

  10. Bartocci, C. and Bruzzo, U., J. Math. Phys. 28, 2363 (1987).

    CrossRef  MathSciNet  Google Scholar 

  11. Bartocci, C. and Bruzzo, U., J. Math. Phys. 29, 1789 (1988).

    CrossRef  MathSciNet  Google Scholar 

  12. Bartocci, C., Bruzzo, U. and Landi, G., “Geometry of Standard Constraints and Weil Triviality in Supersymmetric Gauge Theories,” Preprint 65/1988, Dip. di Matematica Univ. di Genova.

    Google Scholar 

  13. Bartocci, C., Bruzzo, U. and Landi, G., “Chern-Simons Forms on Principal Super Fibre Bundles,” Preprint SISSA 109/87/FM, Trieste 1987.

    Google Scholar 

  14. Rogers, A., J. Math. Phys. 22, 939 (1981).

    CrossRef  MathSciNet  Google Scholar 

  15. Rittenberg, V., Scheunert, M., J. Math. Phys. 19 713 (1978).

    MathSciNet  Google Scholar 

  16. Atiyah, M.F. and Bott, R., Phil. Trans. R. Soc. London A308, 523 (1982).

    MathSciNet  Google Scholar 

  17. López Almorox, A., in “Differential Geometric Methods in Mathematical Physics,” P. L. García and A. Pérez-Rendón eds., Lect. Notes Math. 1251 (Berlin, Springer-Verlag 1987).

    Google Scholar 

  18. Mañes, J., Stora, R. and Zumino, B., Commun. Math. Phys. 102, 157 (1985).

    CrossRef  Google Scholar 

  19. Buckingham, S., “Weil Triviality and Anomalies in Two Dimensional Supergravity,” King's College Preprint, London, May 1987.

    MATH  Google Scholar 

  20. Bruzzo, U. and Landi, G., “A Simple Proof of Weil Triviality in Supersymmetric Gauge Theories,” Preprint 64/1988 DIp. di Matematica Univ. di Genova.

    Google Scholar 

  21. Bruzzo, U., and Cianci, R., Commun. Math. Phys. 95, 393 (1984).

    CrossRef  MathSciNet  Google Scholar 

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© 1990 Springer-Verlag

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Bruzzo, U., Landi, G. (1990). Geometry of standard constraints and anomalous supersymmetric gauge theories. In: Francaviglia, M., Gherardelli, F. (eds) Global Geometry and Mathematical Physics. Lecture Notes in Mathematics, vol 1451. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085067

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  • DOI: https://doi.org/10.1007/BFb0085067

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53286-6

  • Online ISBN: 978-3-540-46813-4

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