Orthosymplectic Z2×Z2Z2×Z2 -graded Lie superalgebras and parastatistics (Q6191436)

scientific article; zbMATH DE number 7814454

Language	Label	Description	Also known as
English	Orthosymplectic Z2×Z2Z2×Z2 -graded Lie superalgebras and parastatistics	scientific article; zbMATH DE number 7814454

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instance of

scholarly article

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title

Orthosymplectic Z2×Z2Z2×Z2 -graded Lie superalgebras and parastatistics (English)

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Journal of Physics A: Mathematical and Theoretical

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publication date

7 March 2024

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full work available at URL

https://arxiv.org/abs/2402.11952

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zbMATH Keywords

$\mathbb{Z}_2\times\mathbb{Z}_2$-graded Lie superalgebras

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orthosymplectic $\mathbb{Z}_2\times\mathbb{Z}_2$-graded Lie superalgebras

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parabosons

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parafermions

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mixed parastatistics

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MaRDI profile type

MaRDI publication profile

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cites work

A Generalized Method of Field Quantization

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Sequences of Z2⊗Z2 graded Lie algebras and superalgebras

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Generalized Lie algebras

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de Sitter supergravity with positive cosmological constant and generalised Lie superalgebras

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Generalized quasispin for supergroups

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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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Double-graded supersymmetric quantum mechanics

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

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

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Irreducible representations of Z22-graded N=2 supersymmetry algebra and Z22-graded supermechanics

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${\mathbb{Z}}_{2}{\times}{\mathbb{Z}}_{2}$-graded supersymmetry: 2-d sigma models

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Classification of minimal Z2×Z2-graded Lie (super)algebras and some applications

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Is the $\mathbb{Z}_2 \times \mathbb{Z}_2$-graded sine-Gordon equation integrable?

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Towards integration on colored supermanifolds

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Comments of $\mathbb{Z}_2^2$-supersymmetry in superfield formalism

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New aspects of the $\mathbb{Z}_2\times\mathbb{Z}_2$-graded $1D$ superspace: induced strings and $2D$ relativistic models

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Integration on minimal Z22 -superspace and emergence of space

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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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Z2×Z2 -graded parastatistics in multiparticle quantum Hamiltonians

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Inequivalent quantizations from gradings and Z2×Z2 parabosons

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Lie superalgebras

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On classical Z2×Z2-graded Lie algebras

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The Z2×Z2-graded general linear Lie superalgebra

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The theory of Lie superalgebras. An introduction

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A class of infinite-dimensional representations of the Lie superalgebra $\mathfrak{o}\mathfrak{s}\mathfrak{p}(2m+1|2n)$ and the parastatistics Fock space

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Casimir invariants, characteristic identities, and Young diagrams for color algebras and superalgebras

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Color Lie algebras and Lie algebras of order $F$

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A generalization of field quantization and statistics

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The parafermion Fock space and explicit \mathfrak{so}(2n+1) representations

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A Lie superalgebraic interpretation of the para-Bose statistics

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Fock space representations of the Lie superalgebra A(0,n)

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Microscopic and macroscopic properties ofA-superstatistics

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Partition functions and thermodynamic properties of paraboson and parafermion systems

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Identifiers

arXiv ID

2402.11952

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DOI

10.1088/1751-8121/ad2726

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6191436