Integration on minimal Z22 -superspace and emergence of space (Q6068787)

scientific article; zbMATH DE number 7764482

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English	Integration on minimal Z22 -superspace and emergence of space	scientific article; zbMATH DE number 7764482

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instance of

scholarly article

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title

Integration on minimal Z22 -superspace and emergence of space (English)

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Journal of Physics A: Mathematical and Theoretical

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publication date

13 November 2023

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full work available at URL

https://arxiv.org/abs/2305.07836

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zbMATH Keywords

$\mathbb{Z}^2_2$-extended superspace

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definition of integral

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$\mathbb{Z}^2_2$-extended Berezinian

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$\mathbb{Z}^2_2$-supersymmetry

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MaRDI profile type

MaRDI publication profile

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cites work

Sequences of <i>Z</i>2⊗<i>Z</i>2 graded Lie algebras and superalgebras

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Generalized Lie Elements

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Generalized Lie algebras

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Q4833534

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The category of Z2n-supermanifolds

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Splitting theorem for $\mathbb{Z}_2^n$-supermanifolds

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Higher trace and Berezinian of matrices over a Clifford algebra

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On the construction of $\mathbb{Z}^n_2$-Grassmannians as homogeneous $\mathbb{Z}^n_2$-spaces

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Towards integration on colored supermanifolds

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The graded differential geometry of mixed symmetry tensors

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Functional analytic issues in $\mathbb{Z}_2^n$-Geometry

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The Schwarz-Voronov embedding of $\mathbb{Z}_2^n$-manifolds

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Odd connections on supermanifolds: existence and relation with affine connections

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Local forms of morphisms of colored supermanifolds

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Linear $\mathbb{Z}_2^n$-manifolds and linear actions

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Symplectic $\mathbb{Z}_2^n$-manifolds

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The Gelfand–Naimark–Segal construction for unitary representations of $\mathbb Z_2^n$-graded Lie supergroups

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

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

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

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

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

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

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

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

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Cohomological approach to the graded Berezinian

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

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Identifiers

arXiv ID

2305.07836

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Mathematics Subject Classification ID

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10.1088/1751-8121/AD076E

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Sitelinks

Mathematics(1 entry)

mardi Publication:6068787