46 citations · 101 across the 9 of their papers we have counts for
9 papers
On the Time Dependent Oscillator and the Nonlinear Realizations of the Virasoro Group
V. P. Akulov, Sultan Catto, Oktay Cebecioglu +1
Using the nonlinear realizations of the Virasoro group we construct the action of the Conformal Quantum Mechanics (CQM) with additional harmonic potential. We show that i…
On the SuperConformal Quantum Mechanics in the Nonlinear Realizations Approach
V. P. Akulov, Oktay Cebecioglu, A. Pashnev
In the framework of nonlinear realizations we rederive the action of the N=2 SuperConformal Quantum Mechanics (SCQM). We propose also the WZNW -- like construction of the interacti…
The Spinning Particles as a Nonlinear Realizations of the Superworldline Reparametrization Invariance
J. Malinsky, V. P. Akulov, N. Abdellatif +1
The superdiffeomorphisms invariant description of - extended spinning particle is constructed in the framework of nonlinear realizations approach. The action is universal for a…
Non-linear way to Supersymmetry and N-extended SUSY
V. Akulov
In this report I give the short historical review some of the first steps that were done to the invention of SUSY in Kharkov team headed by D.Volkov. This paper is dedicated to the…
Extended Supersymmetric Quantum Mechanics
V. Akulov, M. Kudinov
A parametrization of the Hamiltonian of the generalized Witten model of the SUSY QM by a single arbitrary function in d=1 has been obtained for an arbitrary number of the supersymm…
Nilpotent Marsh and SUSY QM
V. P. Akulov, Steven Duplij
We consider the nilpotent additions to classical trajectories in supersymmetric and nonsupersymmetric theories. The condition of anilpotence of action on some generalized solutions…