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

DOI10.1063/5.0100182OpenAlexW4280542877MaRDI QIDQ5884863

No author found.

Publication date: 24 March 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.07263

Mathematics Subject Classification ID

Partial differential equations (35-XX) Quantum theory (81-XX)

Related Items (3)

New aspects of the \(\mathbb{Z}_2\times\mathbb{Z}_2\)-graded \(1D\) superspace: induced strings and \(2D\) relativistic models ⋮ A connection between Uq(sl(3)) and Z2×Z2-graded special linear Lie colour algebras via Klein operators ⋮ Orthosymplectic Z2×Z2Z2×Z2 -graded Lie superalgebras and parastatistics

Cites Work

• Splitting theorem for \(\mathbb{Z}_2^n\)-supermanifolds
• Higher trace and Berezinian of matrices over a Clifford algebra
• Classification of irreps and invariants of the \(N\)-extended supersymmetric quantum mechanics
• Local forms of morphisms of colored supermanifolds
• Symplectic \(\mathbb{Z}_2^n\)-manifolds
• Comments of \(\mathbb{Z}_2^2\)-supersymmetry in superfield formalism
• On the construction of \(\mathbb{Z}^n_2\)-Grassmannians as homogeneous \(\mathbb{Z}^n_2\)-spaces
• The Kostant invariant and special \(\varepsilon\)-orthogonal representations for \(\varepsilon\)-quadratic colour Lie algebras
• \(\mathbb{Z}_2 \times \mathbb{Z}_2\)-graded mechanics: the quantization
• Is the \(\mathbb{Z}_2 \times \mathbb{Z}_2\)-graded sine-Gordon equation integrable?
• \(\mathbb{Z}_2^3\)-graded extensions of Lie superalgebras and superconformal quantum mechanics
• Linear \(\mathbb{Z}_2^n\)-manifolds and linear actions
• The Schwarz-Voronov embedding of \(\mathbb{Z}_2^n\)-manifolds
• On a \(\mathbb Z_2^n\)-graded version of supersymmetry
• On the classification of N-extended supersymmetric quantum mechanical systems
• Towards integration on colored supermanifolds
• The category of Z2n-supermanifolds
• Generalized Lie Elements
• Z 2 n -graded extensions of supersymmetric quantum mechanics via Clifford algebras
• A classification of lowest weight irreducible modules over Z22-graded extension of osp(1|2)
• de Sitter supergravity with positive cosmological constant and generalised Lie superalgebras
• Generalized Lie algebras
• Sequences of Z2⊗Z2 graded Lie algebras and superalgebras
• The Gelfand–Naimark–Segal construction for unitary representations of $\mathbb Z_2^n$-graded Lie supergroups
• Generalized supersymmetry and the Lévy-Leblond equation
• Double-graded supersymmetric quantum mechanics
• Functional analytic issues in $\mathbb{Z}_2^n$-Geometry
• The Z2×Z2-graded general linear Lie superalgebra
• The graded differential geometry of mixed symmetry tensors
• Super-de Sitter and Alternative Super-Poincaré Symmetries
• $\mathbb{Z}_2\times \mathbb{Z}_2$-graded Lie symmetries of the Lévy-Leblond equations
• ${\mathcal N}$ -extension of double-graded supersymmetric and superconformal quantum mechanics
• ${\mathbb{Z}}_{2}{\times}{\mathbb{Z}}_{2}$-graded supersymmetry: 2-d sigma models
• Odd connections on supermanifolds: existence and relation with affine connections
• Z2×Z2 -graded parastatistics in multiparticle quantum Hamiltonians
• Inequivalent quantizations from gradings and Z2×Z2 parabosons

This page was built for publication: Irreducible representations of Z22-graded N=2 supersymmetry algebra and Z22-graded supermechanics