activity
20052026
most citedClassification of irreps and invariants of the N-extended Supersymmetric Quantum Mechanics

69 citations · 527 across the 32 of their papers we have counts for

collaborators

32 papers

gr-qc2026

Regular Black Hole Formation and Gamma-Ray Burst from Matter Conversion

Vitalii Vertogradov, Zhanna Kuznetsova, Yu Shi

During the gravitational collapse of a massive star into a regular black hole, a new form of matter must be produced in order to prevent the formation of a central singularity. Sin…

math-ph2025

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-…

math-ph2024★ 8 cited

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…

hep-th2023★ 13 cited

New aspects of the Z Z-graded 1D superspace: induced strings and 2D relativistic models

N. Aizawa, R. Ito, Z. Kuznetsova +1

A novel feature of the -graded supersymmetry which finds no counterpart in ordinary supersymmetry is the presence of -graded exotic bosons (i…

math-ph2021★ 6 cited

Beyond the -fold way: associative -graded superdivision algebras

Zhanna Kuznetsova, Francesco Toppan

The "-fold way" refers to the combined classification of the associative division algebras (of real, complex and quaternionic numbers) and of the , -grade…

math-ph2021★ 24 cited

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…