Z 2 × Z 2 generalizations of N=1 superconformal Galilei algebras and their representations

DOI10.1063/1.5054699zbMath1409.81053arXiv1808.09112OpenAlexW2889158635MaRDI QIDQ4628756

Phillip S. Isaac, Naruhiko Aizawa, J. Segar

Publication date: 15 March 2019

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

Full work available at URL: https://arxiv.org/abs/1808.09112

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Many-body theory; quantum Hall effect (81V70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Supersymmetry and quantum mechanics (81Q60) Superalgebras (17A70) Graded Lie (super)algebras (17B70) Exterior algebra, Grassmann algebras (15A75) Bergman spaces and Fock spaces (30H20)

Related Items (9)

\(\mathbb{Z}_2\times\mathbb{Z}_2\)-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 ⋮ Double-graded quantum superplane ⋮ Z 2 n -graded extensions of supersymmetric quantum mechanics via Clifford algebras ⋮ Linear \(\mathbb{Z}_2^n\)-manifolds and linear actions ⋮ Superfield approach to higher derivative \(\mathcal{N} = 1\) superconformal mechanics ⋮ The Schwarz-Voronov embedding of \(\mathbb{Z}_2^n\)-manifolds ⋮ A classification of lowest weight irreducible modules over Z22-graded extension of osp(1|2) ⋮ ${\mathcal N}$ -extension of double-graded supersymmetric and superconformal quantum mechanics

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