116 citations · 1.1k across the 95 of their papers we have counts for
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Supersymmetric Extension of Hopf Maps: N=4 sigma-models and the S^3 -> S^2 Fibration
L. Faria Carvalho, Z. Kuznetsova, F. Toppan
We discuss four off-shell N=4 D=1 supersymmetry transformations, their associated one-dimensional sigma-models and their mutual relations. They are given by I) the (4,4)_{lin} line…
Twist Deformations of the Supersymmetric Quantum Mechanics
P. G. Castro, B. Chakraborty, Z. Kuznetsova +1
The N-extended Supersymmetric Quantum Mechanics is deformed via an abelian twist which preserves the super-Hopf algebra structure of its Universal Enveloping Superalgebra. Two cons…
A natural fuzzyness of de Sitter space-time
Jean-Pierre Gazeau, Francesco Toppan
A non-commutative structure for de Sitter spacetime is naturally introduced by replacing ("fuzzyfication") the classical variables of the bulk in terms of the dS analogs of the Pau…
Second Hopf map and Yang-Coulomb system on 5d (pseudo)sphere
Stefano Bellucci, Francesco Toppan, Vahagn Yeghikyan
Using the second Hopf map, we perform the reduction of the eight-dimensional (pseudo)spherical (Higgs)oscillator to a five-dimensional system interacting with a Yang monopole. Then…
On Alphabetic Presentations of Clifford Algebras and Their Possible Applications
Francesco Toppan, Piet W. Verbeek
In this paper we address the problem of constructing a class of representations of Clifford algebras that can be named "alphabetic (re)presentations". The Clifford algebras generat…
Second Hopf map and supersymmetric mechanics with Yang monopole
M. Gonzales, Z. Kuznetsova, A. Nersessian +2
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 systems sp…