Renormalization and finiteness of topological BF theories

Details Renormalization and finiteness of topological BF theories Renormalization and finiteness of topological BF theories

1992-08-18

arxiv.org/abs/hep-th/9208047v1

Nucl.Phys. B395 (1993) 325-353

Physics

High Energy Physics

High Energy Physics - Theory

27 p., Latex file

Scientific paper

10.1016/0550-3213(93)90219-F

We show that the BF theory in any space-time dimension, when quantized in a certain linear covariant gauge, possesses a vector supersymmetry. The generator of the latter together with those of the BRS transformations and of the translations form the basis of a superalgebra of the Wess-Zumino type. We give a general classification of all possible anomalies and invariant counterterms. Their absence, which amounts to ultraviolet finiteness, follows from purely algebraic arguments in the lower-dimensional cases.

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