Irreps and Off-shell Invariant Actions of the N-extended Supersymmetric Quantum Mechanics

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dc.creatorToppan, Francesco
dc.date2006-10-16
dc.date.accessioned2026-07-07T10:42:35Z
dc.date.available2026-07-07T10:42:35Z
dc.descriptionThe complete classification of the irreducible representations of the N-extended one-dimensional supersymmetry algebra linearly realized on a finite number of fields is presented. Off-shell invariant actions of one-dimensional supersymmetric sigma models are constructed. The role of both Clifford algebras and the Cayley-Dickson's doublings of algebras in association with the N-extended supersymmetries is discussed. We prove in specific examples that the octonionic structure constants enter the N=8 invariant actions as coupling constants. We further explain how to relate one-dimensional supersymmetric quantum mechanical systems to the dimensional reduction of higher-dimensional supersymmetric theories.
dc.description16 pages. Talk given at the Fifth International Conference on Mathematical Methods in Physics IC2006, April 24-28 2006, CBPF, Rio de Janeiro, Brazil
dc.identifierhttps://arxiv.org/abs/hep-th/0610180
dc.identifierhttp://arxiv.org/abs/hep-th/0610180
dc.identifierPoSIC2006:033,2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/181995
dc.subjectHigh Energy Physics - Theory
dc.titleIrreps and Off-shell Invariant Actions of the N-extended Supersymmetric Quantum Mechanics
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