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

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.

33 pages, no figures. v2: slightly improved, references added, v3: close match to published article