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 …

We propose Lagrangian and Hamiltonian formulations of a N= 4 supersymmetric three-
dimensional isospin-carrying particle moving in the non-Abelian field of a Wu-Yang …

We construct the general action for N= 4, d= 1 nonlinear supermultiplet including the most
general interaction terms which depend on the arbitrary function h obeying the Laplace …

We construct a nonlinear version of the d= 1 off-shell N= 8 multiplet (4, 8, 4), proceeding
from a nonlinear realization of the superconformal group OSp (4⋆| 4) in the N= 8, d= 1 …

We propose a unified superfield formulation of N= 4 off-shell supermultiplets in one
spacetime dimension using the standard N= 4 superspace. The main idea of our approach …

We construct a new off-shell N= 8, d= 1 nonlinear supermultiplet (4, 8, 4) proceeding from
the nonlinear realization of the N= 8, d= 1 superconformal group OS p (4⋆| 4) in its …

We analyze the geometry of four-dimensional bosonic manifolds arising within the context of
N= 4, D= 1 supersymmetry. We demonstrate that both cases of general hyper-Kähler …

It is presented a method of construction of sigma-models with target space geometries
different from conformally flat ones. The method is based on a treating of a constancy of a …

Starting from quaternionic N= 8 supersymmetric mechanics we perform a reduction over a
bosonic radial variable, ending up with a nonlinear off-shell supermultiplet with three …

We explicitly construct N= 4 worldline supersymmetric minimal off-shell actions for five
options of 1/2 partial spontaneous breaking of N= 8, d= 1 Poincaré supersymmetry. We …