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

DOI10.1063/5.0050200zbMath1467.81102arXiv2103.04385OpenAlexW3135504313MaRDI QIDQ5000228

Zhanna G. Kuznetsova, Francesco Toppan

Publication date: 9 July 2021

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

Full work available at URL: https://arxiv.org/abs/2103.04385

Mathematics Subject Classification ID

Model quantum field theories (81T10) Structure theory for Lie algebras and superalgebras (17B05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Graded Lie (super)algebras (17B70) Bosonic systems in quantum theory (81V73)

Related Items (10)

The Z2×Z2 -graded Lie superalgebras pso(2n+1|2n) and pso(∞|∞) , and parastatistics Fock spaces ⋮ 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 ⋮ 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 ⋮ 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 ⋮ Comments of \(\mathbb{Z}_2^2\)-supersymmetry in superfield formalism ⋮ Inequivalent quantizations from gradings and Z2×Z2 parabosons

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