Extended BRS symmetry in topological field theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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6 pages, LaTeX, no figures

Scientific paper

10.1142/S0217732308026996

A class of topological field theories like the $BF$ model and Chern-Simons theory, when quantized in the Landau gauge, enjoys the property of invariance under a vector supersymmetry, which is responsible for their finiteness. We introduce a new type of gauge fixing which makes these theories invariant under an extended $BRS$ symmetry, containing a new type of field, the ghost of diffeomorphisms. The presence of such an extension is naturally related to the vector supersymmetry discussed before.

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