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

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

1996-11-12

arxiv.org/abs/hep-th/9611070v2

Int.J.Mod.Phys. A13 (1998) 4513-4538

Physics

High Energy Physics

High Energy Physics - Theory

23 pages

Scientific paper

10.1142/S0217751X98002171

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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