Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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   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.

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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th