We present an algorithmic classification of the irreps of the N-extended one-dimensional
supersymmetry algebra linearly realized on a finite number of fields. Our work is based on …

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 …

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 propose to use the second Hopf map for the reduction [via SU (2) group action] of the
eight-dimensional N= 8 supersymmetric mechanics to five-dimensional supersymmetric …

Elaborating on previous work [F. Delduc, E. Ivanov, Nucl. Phys. B 753 (2006) 211, hep-
th/0605211; F. Delduc, E. Ivanov, Nucl. Phys. B 770 (2007) 179, hep-th/0611247], we show …

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 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 demonstrate that in N= 8 supersymmetric mechanics with linear and nonlinear chiral
supermultiplets one may dualize two auxiliary fields into physical ones in such a way that the …

We discuss four off-shell N= 4D= 1 supersymmetry transformations, their associated one-
dimensional σ-models and their mutual relations. They are given by The I→ II map is the …