Inequivalent $\mathbb{Z}_2^n$-graded brackets, $n$-bit parastatistics and statistical transmutations of supersymmetric quantum mechanics (Q6653836)

scientific article; zbMATH DE number 7959144

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English	Inequivalent $\mathbb{Z}_2^n$-graded brackets, $n$-bit parastatistics and statistical transmutations of supersymmetric quantum mechanics	scientific article; zbMATH DE number 7959144

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Inequivalent $\mathbb{Z}_2^n$-graded brackets, $n$-bit parastatistics and statistical transmutations of supersymmetric quantum mechanics (English)

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17 December 2024

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Publication

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cites work

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Q4857364

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Inequivalent quantizations from gradings and Z2×Z2 parabosons

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Towards integration on colored supermanifolds

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

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

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

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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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A new kind of graded Lie algebra and parastatistical supersymmetry

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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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The Z2×Z2 -graded Lie superalgebras pso(2n+1|2n) and pso(∞|∞) , and parastatistics Fock spaces

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Beyond the 10-fold way: 13 associative $\mathbb{Z}_2\times\mathbb{Z}_2$-graded superdivision algebras

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Construction of color Lie algebras from homomorphisms of modules of Lie algebras

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$\mathbb{Z}_2^3$-graded extensions of Lie superalgebras and superconformal quantum mechanics

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

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Hopf structure and Green ansatz of deformed parastatistics algebras

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A braided look at Green ansatz for parabosons

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

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On nonminimal ${\cal N}=4$N=4 supermultiplets in 1D and their associated σ-models

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The quasi-nonassociative exceptional F(4) deformed quantum oscillator

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published in

Nuclear Physics B

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Identifiers

DOI

10.1016/j.nuclphysb.2024.116729

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:6653836

Inequivalent \(\mathbb{Z}_2^n\)-graded brackets, \(n\)-bit parastatistics and statistical transmutations of supersymmetric quantum mechanics (Q6653836)

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Mathematics(1 entry)