2004/09/30 by V. P. Akulov, Sultan Catto, Akulov, V. P. +5
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0409316
12 pages, To appear in Proceedings of the International Workshop "Supersymmetries and Quantum Symmetries" (SQS'03, 24-29 July, 2003), Dubna, Russian Federation
arxiv created 2004/09/30 · openalex publication_date 2004/09/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.