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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 | | Guy Bonneau
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6 Jun 1994 | | Journal: | Helv.Phys.Acta 67 (1994) 930-953 | | Subject: | hep-th | | Abstract: | In 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. | | Source: | arXiv, hep-th/9406030 | | Services: | Forum | Review | PDF | Favorites | |
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