Double-graded supersymmetric quantum mechanics
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Publication:5136167
DOI10.1063/1.5118302zbMath1452.81119arXiv1904.06975OpenAlexW3105088149MaRDI QIDQ5136167
Steven Duplij, Andrew James Bruce
Publication date: 25 November 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.06975
Related Items (23)
Irreducible representations of Z22-graded N=2 supersymmetry algebra and Z22-graded supermechanics ⋮ The Z2×Z2 -graded Lie superalgebras pso(2n+1|2n) and pso(∞|∞) , and parastatistics Fock spaces ⋮ On the higher-order inhomogeneous Heisenberg supermagnetic models ⋮ New aspects of the \(\mathbb{Z}_2\times\mathbb{Z}_2\)-graded \(1D\) superspace: induced strings and \(2D\) relativistic models ⋮ Integration on minimal Z22 -superspace and emergence of space ⋮ On classical Z2×Z2-graded Lie algebras ⋮ 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 ⋮ Beyond the 10-fold way: 13 associative \(\mathbb{Z}_2\times\mathbb{Z}_2\)-graded superdivision algebras ⋮ Unnamed Item ⋮ Z 2 n -graded extensions of supersymmetric quantum mechanics via Clifford 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 ⋮ The Z2×Z2-graded general linear Lie superalgebra ⋮ A classification of lowest weight irreducible modules over Z22-graded extension of osp(1|2) ⋮ Symplectic \(\mathbb{Z}_2^n\)-manifolds ⋮ Comments of \(\mathbb{Z}_2^2\)-supersymmetry in superfield formalism ⋮ Classification of minimal Z2×Z2-graded Lie (super)algebras and some applications ⋮ Color Algebraic Extension of Supersymmetric Quantum Mechanics ⋮ ${\mathbb{Z}}_{2}{\times}{\mathbb{Z}}_{2}$-graded supersymmetry: 2-d sigma models ⋮ Z2×Z2 -graded parastatistics in multiparticle quantum Hamiltonians ⋮ Inequivalent quantizations from gradings and Z2×Z2 parabosons
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