A classification of lowest weight irreducible modules over Z22-graded extension of osp(1|2)

DOI10.1063/5.0037493zbMath1462.81163arXiv2011.03714OpenAlexW3144798088MaRDI QIDQ3388201

Kosuke Amakawa, Naruhiko Aizawa

Publication date: 4 May 2021

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

Full work available at URL: https://arxiv.org/abs/2011.03714

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Graded Lie (super)algebras (17B70) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (5)

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 ⋮ A connection between Uq(sl(3)) and Z2×Z2-graded special linear Lie colour algebras via Klein operators ⋮ \(\mathbb{Z}_2^3\)-graded extensions of Lie superalgebras and superconformal quantum mechanics ⋮ Comments of \(\mathbb{Z}_2^2\)-supersymmetry in superfield formalism

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