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 …

A bstract Conformal geometry is studied using the unfolded formulation à la Vasiliev.
Analyzing the first-order consistency of the unfolded equations, we identify the content of …

A bstract A first-order differential equation is provided for a one-form, spin-s connection
valued in the two-row, width-(s− 1) Young tableau of GL (5). The connection is glued 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 …

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 …

Conformal geometry is studied using the unfolded formulation à la Vasiliev. Analyzing the
first-order consistency of the unfolded equations, we identify the content of zero-forms as the …

Moduli spaces of type B surfaces with torsion Page 1 J. Geom. 108 (2017), 637–653 c©
2016 Springer International Publishing 0047-2468/17/020637-17 published online …