On the high derivative fermionic operator and trace anomaly

TL;DR

This paper introduces a new high-derivative conformal fermionic operator in four dimensions, which uniquely affects the trace anomaly with an opposite sign compared to traditional fields, opening avenues for further research.

Contribution

It constructs a novel high-derivative fermionic operator and analyzes its distinctive impact on the trace anomaly, expanding the understanding of conformal operators.

Findings

The operator contributes oppositely to the trace anomaly compared to scalars, spinors, and vectors.

It demonstrates the existence of new conformal operators with unique anomaly signatures.

Potential applications and generalizations are discussed.

Abstract

We construct a new example of the high derivative four-dimensional conformal operator. This operator acts on fermions, and its contribution to the trace anomaly has opposite sign, as compared to conventional scalars, spinors and vectors. Possible generalizations and applications are discussed.