Abstract
We find two classes of supersymmetry theories such that after Fermi-field integration and Bose-field transformation the graded partition function reduces to that of a free theory. We study theories with or without gauge symmetries and relate these results with the possibility of dynamical breaking of supersymmetry. Within these theories are N=2 and N=4 Super Yang-Mills.
Similar content being viewed by others
References
Witten, E., Nucl. Phys. B188, 513 (1981).
Cecotti, S. and Girardello, L., Phys. Lett. B110, 39 (1982).
Berezin, A., The Method of Second Quantization, Academic Press, 1966; For a recent extensive review see D. Leites, Usp. Mat. Nauk. 35, 3 (1980).
Nicolai, H., Phys. Lett. B89, 341 (1980); Nucl. Phys. B176, 419 (1980).
Nicolai, H., ‘On the Functional Integration Measure of Supersymmetric Yang-Mills Theories’, TH, 355-CERN.
Rocek, M., Supergravity 81, S. Ferrara and J. Taylor (eds.) Cambridge Univ. Press, 1981.
Van Nuivenhuizen, P. and Ore, F.R., ‘Local BRST Symmetries’, preprint ITP-SB-82-4.
Nicolai, H., Phys. Lett. B101, 396 (1981).
Grisaru, M.T. and Siegel, W., Nucl. Phys. B201, 292 (1982).
Howe, P.S., Stelle, K., and Townsend, P., ‘Miraculous Ultraviolet Cancellations in Supersymmetry Made Manifest’, Preprint ICTP/82-83/20.
Cecotti, S., and Girardello, L., ‘Local Nicolai Mappings in Extended SUSY’, preprint IC/82/105, Trieste.
Riva, F. and Zanon, D., ‘About Functional Methods in Superspace’, preprint IFUM283/FT (1983), INFN.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kalitzin, S.N. Existence of a nicolai mapping for some supersymmetry gauge theories. Lett Math Phys 8, 13–19 (1984). https://doi.org/10.1007/BF00420036
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00420036