Weak supersymmetry

dc.creatorSmilga, A. V.
dc.date2003-11-04
dc.date2004-01-26
dc.date.accessioned2026-07-07T12:03:42Z
dc.date.available2026-07-07T12:03:42Z
dc.descriptionWe explore ``weak'' supersymmetric systems whose algebra involves, besides Poincare generators, extra bosonic generators not commuting with supercharges. This allows one to have inequal number of bosonic and fermionic 1--particle states in the spectrum. Coleman--Mandula and Haag--Lopuszanski--Sohnius theorems forbid the presence of such extra bosonic charges in {\it interacting} theory for $d \geq 3$. However, these theorems do not apply in one or two dimensions. For $d=1$, we construct a nontrivial interacting system characterized by weak supersymmetric algebra. It is related to ``n--fold'' supersymmetric systems and to quasi-exactly solvable systems studied earlier.
dc.description14 pages LaTeX, final version to be published in Phys.Lett. B
dc.identifierhttps://arxiv.org/abs/hep-th/0311023
dc.identifierhttp://arxiv.org/abs/hep-th/0311023
dc.identifierPhys.Lett.B585:173-179,2004
dc.identifierdoi:10.1016/j.physletb.2004.01.070
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207875
dc.subjectHigh Energy Physics - Theory
dc.titleWeak supersymmetry
dc.typetext

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