$\mathbb{Z}_2^2$-graded supersymmetry via superfield on minimal $\mathbb{Z}_2^2$-superspace (Q6624232)

scientific article; zbMATH DE number 7931843

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English	$\mathbb{Z}_2^2$-graded supersymmetry via superfield on minimal $\mathbb{Z}_2^2$-superspace	scientific article; zbMATH DE number 7931843

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scholarly article

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title

$\mathbb{Z}_2^2$-graded supersymmetry via superfield on minimal $\mathbb{Z}_2^2$-superspace (English)

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Journal of Physics A: Mathematical and Theoretical

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publication date

25 October 2024

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zbMATH Keywords

higher graded supersymmetry

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superfield formulation

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higher graded sine-Gordon model

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MaRDI profile type

Publication

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cites work

Generalized Lie Elements

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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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Casimir elements of ε Lie algebras

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Cohomology of Lie superalgebras and their generalizations

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Q4343355

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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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Cohomology of 3-dimensional color Lie algebras

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Color Lie algebras and Lie algebras of order $F$

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

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Z 2 × Z 2 generalizations of 𝒩=2 super Schrödinger algebras and their representations

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Z 2 × Z 2 generalizations of N=1 superconformal Galilei algebras and their representations

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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 Kostant invariant and special $\varepsilon$-orthogonal representations for $\varepsilon$-quadratic colour Lie algebras

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The Z2×Z2-graded general linear Lie superalgebra

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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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A classification of lowest weight irreducible modules over Z22-graded extension of osp(1|2)

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

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

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

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On classical Z2×Z2-graded Lie algebras

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

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$Z^3_n$-graded colored supersymmetry

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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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Super-de Sitter and Alternative Super-Poincaré Symmetries

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

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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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Z2×Z2 -graded parastatistics in multiparticle quantum Hamiltonians

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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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Q6085605

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Cohomological approach to the graded Berezinian

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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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Local forms of morphisms of colored supermanifolds

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

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Integration on minimal Z22 -superspace and emergence of space

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Identifiers

DOI

10.1088/1751-8121/ad811a

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6624232

\(\mathbb{Z}_2^2\)-graded supersymmetry via superfield on minimal \(\mathbb{Z}_2^2\)-superspace (Q6624232)

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Mathematics(1 entry)