A comment on the 4D antisymmetric tensor field model

TL;DR

This paper demonstrates the renormalizability and ultraviolet finiteness of a four-dimensional antisymmetric tensor field model with supersymmetry in curved space, using algebraic renormalization techniques.

Contribution

It establishes a renormalizable local supersymmetry for the gauge-fixed tensor field model in curved backgrounds, proving its ultraviolet finiteness to all perturbation orders.

Findings

Existence of a renormalizable supersymmetric tensor field model

Proof of ultraviolet finiteness to all orders

Application of algebraic renormalization in curved space

Abstract

We show the existence of a renormalizable local supersymmetry for the gauge fixed action of the four dimensional antisymmetric tensor field model in a curved background quantized in a generalized axial gauge. By using the technique of the algebraic renormalization procedure, we prove the ultraviolet finiteness of the model to all orders of perturbation theory.