40 citations · 123 across the 8 of their papers we have counts for
5 papers · 1 filter
Braided quantum mechanics and Majorana qubits at third root of unity: a color Heisenberg-Lie (super)algebra framework
Zhanna Kuznetsova, Francesco Toppan
We introduce color Heisenberg-Lie (super)algebras graded by the abelian groups , for , and investigate the properties of their associated multi-…
Integrable -graded Extensions of the Liouville and Sinh-Gordon Theories
Naruhiko Aizawa, Ren Ito, Zhanna Kuznetsova +2
In this paper we present a general framework to construct integrable -graded extensions of classical, two-dimensional Toda and conformal affine Toda theories. The s…
Classification of minimal -graded Lie (super)algebras and some applications
Zhanna Kuznetsova, Francesco Toppan
This paper presents the classification, over the fields of real and complex numbers, of the minimal -graded Lie algebras and Lie superalgebras spa…
On the spectrum-generating superalgebras of the deformed one-dimensional quantum oscillators
N. Aizawa, I. E. Cunha, Z. Kuznetsova +1
We investigate the dynamical symmetry superalgebras of the one-dimensional Matrix Superconformal Quantum Mechanics with inverse-square potential. They act as spectrum-generating su…
Extended Supersymmetric Quantum Mechanics of Fierz and Schur Type
Zhanna Kuznetsova, Francesco Toppan
We discuss two independent constructions to introduce an N-extended Supersymmetric Quantum Mechanics. The first one makes use of the Fierz identities while the second one (divided…