Inequivalent quantizations from gradings and parabosons
F Toppan - Journal of Physics A: Mathematical and Theoretical, 2021 - iopscience.iop.org
This paper introduces the parastatistics induced by ${\mathbb {Z}} _ {2}{\times}{\mathbb {Z}}
_ {2}-\mathrm {g}\mathrm {r}\mathrm {a}\mathrm {d}\mathrm {e}\mathrm {d} $ algebras. It …
_ {2}-\mathrm {g}\mathrm {r}\mathrm {a}\mathrm {d}\mathrm {e}\mathrm {d} $ algebras. It …
On classical Z2× Z2-graded Lie algebras
NI Stoilova, J Van der Jeugt - Journal of Mathematical Physics, 2023 - pubs.aip.org
We construct classes of Z 2× Z 2-graded Lie algebras corresponding to the classical Lie
algebras in terms of their defining matrices. For the Z 2× Z 2-graded Lie algebra of type A …
algebras in terms of their defining matrices. For the Z 2× Z 2-graded Lie algebra of type A …
[HTML][HTML] Z2× Z2-graded mechanics: the quantization
In a previous paper we introduced the notion of Z 2× Z 2-graded classical mechanics and
presented a general framework to construct, in the Lagrangian setting, the worldline sigma …
presented a general framework to construct, in the Lagrangian setting, the worldline sigma …
-graded mechanics: the classical theory
Abstract Z _2 * Z _2 Z 2× Z 2-graded mechanics admits four types of particles: ordinary
bosons, two classes of fermions (fermions belonging to different classes commute among …
bosons, two classes of fermions (fermions belonging to different classes commute among …
Minimal bosonization of double-graded quantum mechanics
C Quesne - Modern Physics Letters A, 2021 - World Scientific
The superalgebra of ℤ 2 2-graded supersymmetric quantum mechanics is shown to be
realizable in terms of a single bosonic degree of freedom. Such an approach is directly …
realizable in terms of a single bosonic degree of freedom. Such an approach is directly …
-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 …
introduced a double-graded version of supersymmetric quantum mechanics (SQM). It is an …
Classification of minimal Z2× Z2-graded Lie (super) algebras and some applications
Z Kuznetsova, F Toppan - Journal of Mathematical Physics, 2021 - pubs.aip.org
This paper presents the classification over the fields of real and complex numbers, of the
minimal Z 2× Z 2-graded Lie algebras and Lie superalgebras spanned by four generators …
minimal Z 2× Z 2-graded Lie algebras and Lie superalgebras spanned by four generators …
[HTML][HTML] Comments of Z22-supersymmetry in superfield formalism
S Doi, N Aizawa - Nuclear Physics B, 2022 - Elsevier
We investigate superfield formulation of the minimal Z 2 2-supersymmetry. It is shown that
the integrability on Z 2 2-superspace guarantees the invariance of action. Then we present …
the integrability on Z 2 2-superspace guarantees the invariance of action. Then we present …
[HTML][HTML] New aspects of the Z2× Z2-graded 1D superspace: induced strings and 2D relativistic models
A novel feature of the Z 2× Z 2-graded supersymmetry which finds no counterpart in ordinary
supersymmetry is the presence of 11-graded exotic bosons (implied by the existence of two …
supersymmetry is the presence of 11-graded exotic bosons (implied by the existence of two …
Z2n-graded extensions of supersymmetric quantum mechanics via Clifford algebras
N Aizawa, K Amakawa - Journal of Mathematical Physics, 2020 - pubs.aip.org
It is shown that the N= 1 supersymmetric quantum mechanics (SQM) can be extended to a Z
2 n-graded superalgebra. This is done by presenting quantum mechanical models that …
2 n-graded superalgebra. This is done by presenting quantum mechanical models that …