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

DOI10.3842/SIGMA.2021.071MaRDI QIDQ2236612

Shunya Doi, Naruhiko Aizawa

Publication date: 25 October 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.10638

zbMATH Keywords

graded Lie superalgebrassuperconformal mechanics

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Groups and algebras in quantum theory and relations with integrable systems (81R12) Graded Lie (super)algebras (17B70)

Related Items (6)

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 ⋮ Construction of color Lie algebras from homomorphisms of modules of Lie algebras ⋮ A connection between Uq(sl(3)) and Z2×Z2-graded special linear Lie colour algebras via Klein operators ⋮ Comments of \(\mathbb{Z}_2^2\)-supersymmetry in superfield formalism

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