Spontaneous Breaking of Conformal Invariance and Trace Anomaly Matching

TL;DR

This paper explores how spontaneous breaking of conformal symmetry leads to trace anomaly matching, constraining dilaton couplings, and calculates the effective action for the Goldstone supermultiplet in broken superconformal symmetry.

Contribution

It provides a detailed analysis of trace anomaly matching in spontaneously broken conformal symmetry and derives the dilaton effective action for broken superconformal symmetry.

Findings

Trace anomalies are matched between broken and unbroken phases.

Constraints on dilaton couplings are derived from anomaly matching.

Explicit form of the dilaton effective action is obtained for broken superconformal symmetry.

Abstract

We argue that when conformal symmetry is spontaneously broken the trace anomalies in the broken and unbroken phases are matched. This puts strong constraints on the various couplings of the dilaton. Using the uniqueness of the effective action for the Goldstone supermultiplet for broken ${\cal N}=1$ superconformal symmetry the dilaton effective action is calculated.