On the trace anomaly of Chaudhuri-Choi-Rabinovici model

TL;DR

This paper investigates the trace anomaly in a non-supersymmetric conformal field theory with an exactly marginal deformation, finding that the anomaly coefficient remains unchanged at the three-loop level.

Contribution

It demonstrates that the trace anomaly coefficient does not vary at the first non-trivial order in a specific non-supersymmetric conformal field theory, contrary to generic expectations.

Findings

Trace anomaly coefficient remains unchanged at three-loop order.

The model exhibits stability of the conformal anomaly under certain deformations.

First non-trivial order correction does not affect the anomaly coefficient.

Abstract

Recently a non-supersymmetric conformal field theory with an exactly marginal deformation in the large $N$ limit was constructed by Chaudhuri-Choi-Rabinovici. On a non-supersymmetric conformal manifold, $c$ coefficient of the trace anomaly in four dimensions would generically change. In this model, we, however, find that it does not change at the first non-trivial order given by three-loop diagrams.