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The finiteness of the four dimensional antisymmetric tensor field model in a curved background

U. Feichtinger·O. Moritsch·J. Rant·M. Schweda·H. Zerrouki
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Abstract

A renormalizable rigid supersymmetry for the four dimensional antisymmetric tensor field model in a curved space-time background is constructed. A closed algebra between the BRS and the supersymmetry operators is only realizable if the vector parameter of the supersymmetry is a covariantly constant vector field. This also guarantees that the corresponding transformations lead to a genuine symmetry of the model. The proof of the ultraviolet finiteness to all orders of perturbation theory is performed in a pure algebraic manner by using the rigid supersymmetry.

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U. Feichtinger, O. Moritsch, J. Rant, M. Schweda, H. Zerrouki. 1998-01-12. The finiteness of the four dimensional antisymmetric tensor field model in a curved background. https://doi.org/10.1142/s0217751x98002171

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