The conformally invariant symmetric traceless field: a conformal field strength and a conformally invariant gauge fixing equation over (A)dS$_4$

TL;DR

This paper explores a conformally invariant symmetric traceless field in four-dimensional (A)dS space, introducing a gauge fixing equation and a field strength with duality properties, advancing understanding of conformal invariance in gauge theories.

Contribution

It presents a conformally invariant gauge fixing equation and constructs a field strength with duality properties for the symmetric traceless field in (A)dS$_4$, expanding conformal field theory tools.

Findings

Derived a conformally invariant gauge fixing equation.

Constructed a conformally invariant field strength with duality.

Analyzed properties of the field and its equations.

Abstract

The conformally invariant symmetric traceless field $A$ is considered. In four dimensions it possesses a scalar gauge invariance to which we provide a conformally invariant gauge fixing equation. A field strength $F$ is built upon $A$, its properties are worked out, giving rise to a set of conformally invariant equations exhibiting an electromagnetic duality.