The target space geometry of abelian vector multiplets in N= 2 theories in four and five
space–time dimensions is called special geometry. It can be elegantly formulated in terms of …

New insight into the Witten-Dijkgraff-Verlinde-Verlinde equation Page 1 New insight into the
Witten-Dijkgraff-Verlinde-Verlinde equation S. Bellucci,1,* A. Galajinsky,2,† and E. Latini1,‡ …

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 …

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 …

A bstract We study classical and quantum hidden symmetries of a particle with electric
charge e in the background of a Dirac monopole of magnetic charge g subjected to an …

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 …