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

DOI10.1063/1.5144325zbMath1446.81021arXiv1912.11195OpenAlexW3105532912MaRDI QIDQ3298945

Naruhiko Aizawa, Shunya Doi, Kosuke Amakawa

Publication date: 16 July 2020

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

Full work available at URL: https://arxiv.org/abs/1912.11195

zbMATH Keywords

Clifford algebrassupersymmetric quantum mechanicscolor Lie superalgebras

Mathematics Subject Classification ID

Color Lie (super)algebras (17B75) Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Supersymmetry and quantum mechanics (81Q60) Centralizing and normalizing extensions (16S20) Applications of Clifford algebras to physics, etc. (15A67)

Related Items (15)

Irreducible representations of Z22-graded N=2 supersymmetry algebra and Z22-graded supermechanics ⋮ 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 ⋮ \(\mathbb{Z}_2\times\mathbb{Z}_2\)-generalizations of infinite-dimensional Lie superalgebra of conformal type with complete classification of central extensions ⋮ A connection between Uq(sl(3)) and Z2×Z2-graded special linear Lie colour algebras via Klein operators ⋮ Beyond the 10-fold way: 13 associative \(\mathbb{Z}_2\times\mathbb{Z}_2\)-graded superdivision algebras ⋮ \(\mathbb{Z}_2 \times \mathbb{Z}_2\)-graded mechanics: the quantization ⋮ \(\mathbb{Z}_2^3\)-graded extensions of Lie superalgebras and superconformal quantum mechanics ⋮ 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 ⋮ 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

Cites Work

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