-extension of double-graded supersymmetric and superconformal quantum mechanics

N Aizawa, K Amakawa, S Doi - Journal of Physics A …, 2020 - iopscience.iop.org
In the recent paper (Bruce and Duplij 2019 (arXiv: 1904.06975 [math-ph])), Bruce and Duplij
introduced a double-graded version of supersymmetric quantum mechanics (SQM). It is an …

Z23-graded extensions of Lie superalgebras and superconformal quantum mechanics

N Aizawa - SIGMA. Symmetry, Integrability and Geometry: Methods …, 2021 - emis.de
Quantum mechanical systems whose symmetry is given by $\mathbb {Z} _2^ 3$-graded
version of superconformal algebra are introduced. This is done by finding a realization of a …

[PDF][PDF] Inequivalent -graded brackets, -bit parastatistics and statistical transmutations of supersymmetric quantum mechanics

MM Balbino, IP de Freitas, RG Rana… - arXiv preprint arXiv …, 2023 - cbpfindex.cbpf.br
Given an associative ring of Zn 2-graded operators, the number of inequivalent brackets of
Lie-type which are compatible with the grading and satisfy graded Jacobi identities is bn “ntn …

Transmuted spectrum-generating algebras and detectable parastatistics of the Superconformal Quantum Mechanics

F Toppan - Journal of Physics: Conference Series, 2023 - iopscience.iop.org
Transmuted spectrum-generating algebras and detectable parastatistics of the
Superconformal Quantum Mechanics Page 1 Journal of Physics: Conference Series …

New constrained generalized Killing spinor field classes in warped flux compactifications

DF Gonçalves, R da Rocha - arXiv preprint arXiv:2310.19530, 2023 - arxiv.org
The generalized Fierz identities are addressed in the K\" ahler-Atiyah bundle framework
from the perspective of the equations governing constrained generalized Killing spinor …

Color algebraic extension of supersymmetric quantum mechanics

N Aizawa, K Amakawa, S Doi - … and Symmetries: Proceedings of the 11th …, 2021 - Springer
In the recent paper, Bruce and Duplij introduced a-graded version of supersymmetric
quantum mechanics (SQM). It is an extension of Lie superalgebraic nature of N= 1 N= 1 …

Three-dimensional superconformal quantum mechanics with dynamical symmetry

IE Cunha, F Toppan - Physical Review D, 2019 - APS
We construct a three-dimensional superconformal quantum mechanics (and its associated
de Alfaro-Fubini-Furlan deformed oscillator) possessing an sl (2| 1) dynamical symmetry. At …

[PDF][PDF] Simetrias da Equaçao de Schrödinger através do Prolongamento de Campos Vetoriais no Fibrado de Jatos

AK da Silva Guerreiro - cbpfindex.cbpf.br
Sendo esta uma tese de mestrado, é natural que o autor nao se sinta compelidoa
publicaçao apressada de artigos, mas sim ao estudo cuidadoso da matéria fundamental …

[PDF][PDF] Mecânica Superconforme Clássica e Quântica: Construçao, Quantizaçao e Espaço de Hilbert

IE da Cunha, F Toppan - cbpfindex.cbpf.br
Uma abordagem geral para a quantizaçao de modelos σ unidimensionais superconformes
é apresentada começando com representaçoes D-modulares de álgebras superconformes …

[引用][C] Higher Graded Symmetries in Classical and Quantum Mechanics

土居駿也 - 2022