Using the worldline SU (2| 1) superfield approach, we construct N= 4 superconformally
invariant actions for the d= 1 multiplets (1, 4, 3) and (2, 4, 2). The SU (2| 1) superfield …

In this paper, we quantize superconformal σ models defined by worldline supermultiplets.
Two types of superconformal mechanics, with and without a De Alfaro Fubini Furlan (DFF) …

(Super) conformal mechanics in one dimension is induced by parabolic or hyperbolic/
trigonometric transformations, either homogeneous (for a scaling dimension λ) or …

Inequivalent N= 2 supersymmetrizations of the l-conformal Galilei algebra in d-spatial
dimensions are constructed from the chiral (2, 2) and the real (1, 2, 1) basic supermultiplets …

A bstract We introduce a new kind of non-relativistic\(\mathcal {N}\)= 8 supersymmetric
mechanics, associated with worldline realizations of the supergroup SU (2| 2) treated as a …

We present a new model of N= 8 mechanics with semidynamic supermultiplets. The model
is constructed as an interaction of N= 4 supermultiplets which carry an implicit N= 4 …

We present the deformed (for the presence of Calogero potential terms) one-dimensional
quantum oscillator with the exceptional Lie superalgebra F (4) as spectrum-generating …

We find under some mild assumptions that the most general potential of one-dimensional
conformal systems with time-independent couplings is expressed as V= V 0+ V 1, where V 0 …

We investigate the dynamical symmetry superalgebras of the one-dimensional matrix
superconformal quantum mechanics with inverse-square potential. They act as spectrum …

We define the worldline harmonic ${SU}(2| 1) $ superspace and its analytic subspace as a
deformation of the flat ${\mathcal N}= 4, d= 1$ harmonic superspace. The harmonic …