Comments on Trace Anomaly Matching

TL;DR

This paper reexamines the structure of trace anomalies in conformal field theories, providing a general argument for anomaly matching across different phases and analyzing their behavior under source reparametrizations.

Contribution

It introduces a universal framework for understanding trace anomalies and their transformations, offering new insights into anomaly matching in CFTs.

Findings

Universal behavior of dimension -2 invariant amplitudes clarifies anomaly structure

General argument for trace anomaly matching between phases of a CFT

Detailed analysis of moduli trace anomalies and their transformations

Abstract

The structure of type A and B trace anomalies is reanalyzed in terms of the universal behaviour of dimension -2 invariant amplitudes. Based on it a general argument for trace anomaly matching between the unbroken and broken phases of a CFT is given. The structure of moduli trace anomalies and their transformations under source reparametrizations is discussed in detail.