In this paper we demonstrate that the exterior algebra of an Atiyah Lie algebroid generalizes
the familiar notions of the physicist's BRST complex. To reach this conclusion, we develop a …

The first part of this thesis focuses on the Weyl-covariant nature of holography. We
generalize the Fefferman-Graham (FG) ambient construction for conformal geometry to a …

Gauge symmetries are a cornerstone of modern physics but they come with technical
difficulties when it comes to quantization, to accurately describe particles phenomenology or …

Tractors and Twistors bundles both provide natural conformally covariant calculi on $4 D $-
Riemannian manifolds. They have different origins but are closely related, and usually …

We point out that the Cartan geometry known as the second-order conformal structure
provides a natural differential geometric framework underlying gauge theories of conformal …

In this paper, we revisit the Dressing Field Method (DFM) in the context of Quantum (Gauge)
Field Theories (QFT). In order to adapt this method to the functional path integral formalism …

Tractor and Twistor bundles provide natural conformally covariant calculi on 4D-Riemannian
manifolds. They have different origins but are closely related, and usually constructed …

Recently, T. Masson, J. Francois, S. Lazzarini, C. Fournel and J. Attard have introduced a
new method of the reduction of gauge symmetry called a dressing field method. In this paper …

It is shown that the explicit calculation of the Wess–Zumino functional pertaining to the
breaking term of the Weyl symmetry for the Einstein–Hilbert action allows to restore the Weyl …

Our current knowledge about Universe rests on the existence of four fundamental
interactions. These are: gravitation, electromagnetism, weak interaction and strong …