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.
Talk given by the second author.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Witten, E. Nucl. Phys. B266, 245 (1986); and references therein.
Bonora, L., Pasti, P. and Tonin, M., Nucl. Phys. B286, 150 (1987); and in ‘Field and Geometry,’ A. Jadczyk ed. (Singapore, World Scientific 1987).
De Witt, B., ‘Supermanifolds’ (London, Cambridge Univ. Press 1984).
Rogers, A., J. Math. Phys. 21, 1352 (1980); Commun. Math. Phys. 105, 375 (1986).
Bartocci, C. and Bruzzo, U., J. Geom. Phys. 4, 391 (1987).
Bartocci, C., Bruzzo, U. and Hernández Ruipérez, D., “A remark on a new category of supermanifolds,” Preprint, Dip. di Matematica Univ. di Genova.
Rothstein, M., Trans. Amer. Math. Soc. 297, 159 (1986).
Bruzzo, U., in “Differential Geometric Methods in Theoretical Physics,” K. Bleuler and M. Werner eds. (Kluwer, to appear).
Rabin, J. M., Commun. Math. Phys. 108, 375 (1987).
Bartocci, C. and Bruzzo, U., J. Math. Phys. 28, 2363 (1987).
Bartocci, C. and Bruzzo, U., J. Math. Phys. 29, 1789 (1988).
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.
Bartocci, C., Bruzzo, U. and Landi, G., “Chern-Simons Forms on Principal Super Fibre Bundles,” Preprint SISSA 109/87/FM, Trieste 1987.
Rogers, A., J. Math. Phys. 22, 939 (1981).
Rittenberg, V., Scheunert, M., J. Math. Phys. 19 713 (1978).
Atiyah, M.F. and Bott, R., Phil. Trans. R. Soc. London A308, 523 (1982).
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).
Mañes, J., Stora, R. and Zumino, B., Commun. Math. Phys. 102, 157 (1985).
Buckingham, S., “Weil Triviality and Anomalies in Two Dimensional Supergravity,” King's College Preprint, London, May 1987.
Bruzzo, U. and Landi, G., “A Simple Proof of Weil Triviality in Supersymmetric Gauge Theories,” Preprint 64/1988 DIp. di Matematica Univ. di Genova.
Bruzzo, U., and Cianci, R., Commun. Math. Phys. 95, 393 (1984).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1990 Springer-Verlag
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0085067
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-53286-6
Online ISBN: 978-3-540-46813-4
eBook Packages: Springer Book Archive