Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-09-30
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, To appear in Proceedings of the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'03, 24-29 July,
Scientific paper
Using the nonlinear realizations of the N=2 superVirasoro group we construct the action of the N=2 Superconformal Quantum Mechanics(SCQM) with additional harmonic potential.We show that SU(1,1|1) invariance group of this action is nontrivially embedded in the N=2 Super Virasoro group.The generalization for the (super)time dependent oscillator is constructed.In a particular case when the oscillator frequency depends on the proper-time anticommuting coordinates the unusual effect of spontaneous breaking of the supersymmetry takes place: the Masses of bosons and fermions can have different nonzero values.
Akulov V. P.
Catto Sultan
Dubna
Pashnev} \fbox{A. I.
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