Abstract
A supersymmetric extension of the action for a system of bosonic and fermionic oscillators is proposed. This possesses a new type of supersymmetry connected with ‘super-rotations’ (apart from the usual translational one).
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
WittenE., Nucl. Phys. B195, 513 (1981).
WittenE., J. Diff. Geom. 17, 661 (1982).
TakedaG. and UiU., Progr. Theor. Phys. 73, 1061 (1985).
Barcelos-NetoJ. and DasA. Phys. Rev. D333, 2863 (1986).
SalomonsonP. and VanHoltenJ. W., Nucl. Phys. B196, 509 (1982).
CooperF. and FreedmanB., Ann. of Phys. 146, 262 (1983).
AraiA., J. Funct. Anal. 60, 378 (1985).
FinkelsteinR. and VillasanteM., Phys. Rev. D33, 1666 (1986).
Dunne, G. and Halliday, I., Negative dimensional oscillators, Imperial Coll. preprint TP/86-87/26.
De Witt, B., Supermanifolds, Cambridge Univ. Press, 1984.
GrosseH. and PittnerL., J. Phys. A: Math. Gen. 20, 4265 (1987).
FrydryszakA. and JakòbczykL., Lett. Math. Phys. 16, 101 (1988).
Wess, J. and Bagger, J. Supersymmetry and Supergravity, Princeton Univ. Press, 1983.
CasalbuoniR., Nuovo Cim. 33A, 115 (1976).
Frydryszak, A., Dirac quantization in symplectic superspace (submitted to Phys. Rev. D.).
SchmittT., Super differential geometry, Publ. Acad. Sci. GDR, Berlin, 1984.
Grosse, H. and Pittner, L., Groups of automorphisms of the canonical commutation and anticommutation relations, Univ. of Vienna preprint 34/87 (1987).
Author information
Authors and Affiliations
Additional information
Work supported by the Polish Research Program CPBP 01.03.