B.R.S. renormalisation of some on-shell closed algebras of symmetry transformations : the example of supersymmetric non-linear sigma models : the N=1 case

dc.creatorBonneau, Guy
dc.date1994-06-06
dc.date.accessioned2026-07-07T04:20:15Z
dc.date.available2026-07-07T04:20:15Z
dc.descriptionIn order to study in a regularisation free manner the renormalisability of d=2 supersymmetric non-linear $\si$ models, one has to use the algebraic BRS methods ; moreover, in the absence of an off-shell formulation, one has often to deal with open algebras. We then recall in a pedagogical and non technical manner the standard methods used to handle these questions and illustrate them on N=1 supersymmetric non-linear $\si$ model in component fields, giving the first rigorous proof of their renormalisability. In the special case of compact homogeneous manifolds (non-linear $\si$ model on a coset space G/H), we obtain the supersymmetric extension of the analysis done some years ago in the bosonic case. A further publication will be devoted to extended supersymmetry.
dc.description22 pages, latex, PAR/LPTHE/94-10
dc.identifierhttps://arxiv.org/abs/hep-th/9406030
dc.identifierhttp://arxiv.org/abs/hep-th/9406030
dc.identifierHelv.Phys.Acta 67 (1994) 930-953
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53884
dc.subjectHigh Energy Physics - Theory
dc.titleB.R.S. renormalisation of some on-shell closed algebras of symmetry transformations : the example of supersymmetric non-linear sigma models : the N=1 case
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