Perturbation Theory for Antisymmetric Tensor Fields in Four Dimensions

TL;DR

This paper explores perturbation theory in topological field theories with antisymmetric tensor fields, highlighting their supersymmetric structure that ensures perturbative finiteness in four dimensions.

Contribution

It introduces a perturbation framework for antisymmetric tensor field theories with supersymmetry, demonstrating their finiteness at the perturbative level.

Findings

Models are perturbatively finite due to supersymmetry.

Perturbation theory is applicable to a class of topological field theories.

Supersymmetric structure underpins the finiteness property.

Abstract

Perturbation theory for a class of topological field theories containing antisymmetric tensor fields is considered. These models are characterized by a supersymmetric structure which allows to establish their perturbative finiteness.