Representation theory of superconformal quantum mechanics

DOI10.1063/1.527959zbMath0654.17013OpenAlexW2029663420MaRDI QIDQ3800237

Arno R. Bohm, Luis J. Boya, Marian Kmiecik

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527959

zbMATH Keywords

representationsstar representationsspectrum generating algebrassuperalgebra su(1,1/1)superconformal relativistic quantum mechanicssystems with rotational degrees of freedom

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Superalgebras (17A70) Graded Lie (super)algebras (17B70) General mathematical topics and methods in quantum theory (81Q99)

Related Items (2)

Unnamed Item ⋮ Oscillator representations for orthosymplectic algebras

Cites Work

• Dynamical breaking of supersymmetry
• Dynamical supersymmetry of the magnetic monopole and the \(1/r^2\)-potential
• Representations of conformal supersymmetry
• Irreducible unitary representations of the Lorentz group
• Explicit reduction of spl(1,2) to osp(1,2) as a simplified model for applications of supersymmetry to nuclear physics
• Symmetries and supersymmetries of the quantum harmonic oscillator
• Graded Lie algebras: Generalization of Hermitian representations
• Irreducibility of the Ladder Representations of U(2, 2) when Restricted to the Poincaré Subgroup

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