B.R.S. renormalisation of some onshell closed algebras of symmetry transformations : the example of supersymmetric nonlinear sigma models : the N=1 case
Abstract
In order to study in a regularisation free manner the renormalisability of d=2 supersymmetric nonlinear $\si$ models, one has to use the algebraic BRS methods ; moreover, in the absence of an offshell 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 nonlinear $\si$ model in component fields, giving the first rigorous proof of their renormalisability. In the special case of compact homogeneous manifolds (nonlinear $\si$ 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.
 Publication:

arXiv eprints
 Pub Date:
 June 1994
 arXiv:
 arXiv:hepth/9406030
 Bibcode:
 1994hep.th....6030B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 22 pages, latex, PAR/LPTHE/9410