4 papers
Partial supersymmetry breaking in Multidimensional N=4 SUSY QM
E. E. Donets, A. Pashnev, J. J. Rosales +1
The multidimensional N=4 supersymmetric quantum mechanics (SUSY QM) is constructed and the various possibilities for partial supersymmetry breaking are discussed. It is shown that…
Reparametrization Invariance and the Schrödinger Equation
V. I. Tkach, A. Pashnev, J. J. Rosales
In the present work we consider a time-dependent Schrödinger equation for systems invariant under the reparametrization of time. We develop the two-stage procedure of construction…
Massless and spinning particles as dynamics in one dimensional (super)diffeomorphism groups
A. Pashnev
It is shown that dynamics of D+2 elements of the (super)diffeomorphism group in one (1+1 for the super) dimension describes the D - dimensional (spinning) massless relativistic par…
Nonlinear realizations of the (super)diffeomorphism groups, geometrical objects and integral invariants in the superspace
A. Pashnev
It is shown that vielbeins and connections of any (super)space are naturally described in terms of nonlinear realizations of infinite - dimensional diffeomorphism groups of the cor…