Finiteness of PST self-dual models

TL;DR

This paper investigates the quantum properties of the PST self-dual models across multiple dimensions, demonstrating their anomaly-free and finite nature through algebraic renormalization techniques.

Contribution

It provides the first comprehensive analysis of the finiteness and anomaly absence of PST self-dual models at the quantum level in various dimensions.

Findings

No anomalies detected in all dimensions studied

Models are finite up to non-physical renormalizations

Ultraviolet and infrared behaviors are well-controlled

Abstract

The Pasti-Sorokin-Tonin model for describing chiral forms is considered at the quantum level. We study the ultraviolet and infrared behaviour of the model in two, four and six dimensions in the framework of algebraic renormalization. The absence of anomalies, as well as the finiteness, up to non-physical renormalizations, are shown in all dimensions analyzed.