$\mathbb{Z}_2 \times \mathbb{Z}_2$-graded mechanics: the quantization (Q2233822)

scientific article; zbMATH DE number 7408635

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English	$\mathbb{Z}_2 \times \mathbb{Z}_2$-graded mechanics: the quantization	scientific article; zbMATH DE number 7408635

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instance of

scholarly article

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title

$\mathbb{Z}_2 \times \mathbb{Z}_2$-graded mechanics: the quantization (English)

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author

Yanyan Li

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publication date

11 October 2021

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full work available at URL

https://arxiv.org/abs/2005.10759

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MaRDI profile type

Publication

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cites work

Sequences of Z2⊗Z2 graded Lie algebras and superalgebras

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Double-graded supersymmetric quantum mechanics

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Generalized Lie Elements

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Generalized Lie algebras

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Q4343355

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Classification of derivation-simple color algebras related to locally finite derivations

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Hilbert space representations of the graded analogue of the Lie algebra of the group of plane motions

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Representations and cocycle twists of color Lie algebras

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Bosonic Realizations of the Colour Heisenberg Lie Algebra

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Color Lie algebras and Lie algebras of order $F$

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Generalized quasispin for supergroups

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(I,q)-graded Lie algebraic extensions of the Poincaré algebra, constraints on I and q

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Trefoil symmetries. I: Clover extensions beyond Coleman-Mandula theorem.

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de Sitter supergravity with positive cosmological constant and generalised Lie superalgebras

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Super-de Sitter and Alternative Super-Poincaré Symmetries

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The $ \newcommand{\Z}{{{\mathbb Z}}} \Z_2\times\Z_2$ -graded Lie superalgebra $ \newcommand{\pso}{\mathfrak{pso}} \pso(2m+1\vert 2n)$ and new parastatistics representations

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$\mathbb{Z}_2\times \mathbb{Z}_2$-graded Lie symmetries of the Lévy-Leblond equations

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Generalized supersymmetry and the Lévy-Leblond equation

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On a $\mathbb Z_2^n$-graded version of supersymmetry

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${\mathcal N}$ -extension of double-graded supersymmetric and superconformal quantum mechanics

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Z 2 n -graded extensions of supersymmetric quantum mechanics via Clifford algebras

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Dual double field theory

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Tensor Galileons and gravity

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The graded differential geometry of mixed symmetry tensors

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$\mathbb{Z}_2\times\mathbb{Z}_2$-generalizations of infinite-dimensional Lie superalgebra of conformal type with complete classification of central extensions

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Double-graded quantum superplane

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The Z2×Z2-graded general linear Lie superalgebra

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Cubic Dirac operators and the strange Freudenthal-de Vries formula for colour Lie algebras

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On the classification of $N$-extended supersymmetric quantum mechanical systems

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Classification of irreps and invariants of the $N$-extended supersymmetric quantum mechanics

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$D$-module representations of ${\mathcal N}=2,4,8$ superconformal algebras and their superconformal mechanics

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On colour superalgebras in parasupersymmetric quantum mechanics

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Deconstructing supersymmetry

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Z2×Z2 -graded parastatistics in multiparticle quantum Hamiltonians

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Q4857364

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published in

Nuclear Physics B

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.NUCLPHYSB.2021.115426

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Mathematics(1 entry)

mardi Publication:2233822

\(\mathbb{Z}_2 \times \mathbb{Z}_2\)-graded mechanics: the quantization (Q2233822)

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Identifiers

Sitelinks

Mathematics(1 entry)