Inequivalent quantizations from gradings and Z2×Z2 parabosons

DOI10.1088/1751-8121/ac17a5zbMath1505.82010arXiv2104.09692OpenAlexW3184990969MaRDI QIDQ5877429

Francesco Toppan

Publication date: 13 February 2023

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

Full work available at URL: https://arxiv.org/abs/2104.09692

zbMATH Keywords

parastatisticsgradingsparabosons\(\mathbb{Z}_2\times\mathbb{Z}_2\)-graded Lie algebrasbraided tensor productsmulti-particle quantum Hamiltonians

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (10)

Irreducible representations of Z22-graded N=2 supersymmetry algebra and Z22-graded supermechanics ⋮ First quantization of braided Majorana fermions ⋮ 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 ⋮ Comments of \(\mathbb{Z}_2^2\)-supersymmetry in superfield formalism ⋮ Classification of minimal Z2×Z2-graded Lie (super)algebras and some applications

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