We propose to consider the N= 4, d= 1 supermultiplet with (4, 4, 0) component content as a
“root” one. We elaborate a new reduction scheme from the root multiplet to supermultiplets …

Using the N= 4 superspace approach in one dimension (time), we construct general N= 8
supersymmetric mechanics actions for the multiplets (b, 8, 8− b) classified in hep …

In these lectures we discuss some basic aspects of Hamiltonian formalism, which usually do
not appear in standard textbooks on classical mechanics for physicists. We pay special …

These lectures were given at Laboratori Nazionali di Frascati in the month of March 2005.
The main idea was to provide our young colleagues, who joined us in our attempts to …

We construct N= 4 supersymmetric mechanics using the N= 4 nonlinear chiral
supermultiplet. The two bosonic degrees of freedom of this supermultiplet parameterize the …

The N= 8, 1D analytic bi-harmonic superspace is shown to provide a natural setting for N= 8
supersymmetric mechanics associated with the off-shell multiplet (4, 8, 4). The latter is …

The main purpose of these lectures is to give a pedagogical overview the on possibility to
classify and relate off-shell linear supermultiplets in the context of supersymmetric …

We show that the nonlinear chiral supermultiplet allows one to construct, over given two-
dimensional bosonic mechanics, the family of two-dimensional ${\cal N}= 4 …

We apply the technique of Hamiltonian reduction for the construction of three-dimensional
N= 4 supersymmetric mechanics specified by the presence of a Dirac monopole. For this …

We construct the N= 8 supersymmetric mechanics with a potential term whose configuration
space is the special Kähler manifold of rigid type and show that it can be viewed as the …