Nonlocal action for the super-Weyl anomalies: A new representation

TL;DR

This paper introduces a new representation for the nonlocal super-Weyl anomaly action using a recently discovered N=1 supersymmetric extension of the conformal scalar operator, enhancing understanding of superconformal anomalies.

Contribution

It presents a novel formulation of the super-Weyl anomaly action based on a supersymmetric extension of the Paneitz operator, expanding theoretical tools in superconformal anomaly analysis.

Findings

Derived a new super-Weyl anomaly action representation

Utilized the N=1 supersymmetric extension of the Paneitz operator

Enhanced theoretical understanding of superconformal anomalies

Abstract

Using the recently discovered N=1 supersymmetric extension of the conformal fourth-order scalar operator (introduced originally by Fradkin and Tseytlin and also known as the "Paneitz operator" or "Riegert operator"), we derive a new representation for the nonlocal action generating the super-Weyl anomalies.