The Weyl BMS group and Einstein's equations

L Freidel, R Oliveri, D Pranzetti, S Speziale - Journal of High Energy …, 2021 - Springer
A bstract We propose an extension of the BMS group, which we refer to as Weyl BMS or
BMSW for short, that includes super-translations, local Weyl rescalings and arbitrary …

Edge modes as reference frames and boundary actions from post-selection

S Carrozza, PA Höhn - Journal of High Energy Physics, 2022 - Springer
A bstract We introduce a general framework realizing edge modes in (classical) gauge field
theory as dynamical reference frames, an often suggested interpretation that we make …

Same-diff? Conceptual similarities between gauge transformations and diffeomorphisms. Part III: Representational conventions and relationism

H Gomes - arXiv preprint arXiv:2402.09198, 2024 - arxiv.org
The following questions are germane to our understanding of gauge-(in) variant quantities
and physical possibility: in which ways are gauge transformations and spacetime …

Covariant canonical formulations of classical field theories

F Gieres - SciPost Physics Lecture Notes, 2023 - scipost.org
We review in simple terms the covariant approaches to the canonical formulation of classical
relativistic field theories (in particular gauge field theories and general relativity) and we …

Geometric Relational Framework for General‐Relativistic Gauge Field Theories

JT François, L Ravera - Fortschritte der Physik, 2024 - Wiley Online Library
It is recalled how relationality arises as the core insight of general‐relativistic gauge field
theories from the articulation of the generalized hole and point‐coincidence arguments …

Cartan geometry, supergravity, and group manifold approach

J François, L Ravera - arXiv preprint arXiv:2402.11376, 2024 - arxiv.org
We make a case for the unique relevance of Cartan geometry for gauge theories of gravity
and supergravity. We introduce our discussion by recapitulating historical threads, providing …

[图书][B] Gauge symmetries, symmetry breaking, and gauge-invariant approaches

P Berghofer, J François, S Friederich, H Gomes… - 2023 - cambridge.org
Gauge symmetries play a central role, both in the mathematical foundations as well as the
conceptual construction of modern (particle) physics theories. However, it is yet unclear …

Note on the bundle geometry of field space, variational connections, the dressing field method, & presymplectic structures of gauge theories over bounded regions

J François, N Parrini, N Boulanger - Journal of High Energy Physics, 2021 - Springer
A bstract In this note, we consider how the bundle geometry of field space interplays with the
covariant phase space methods so as to allow to write results of some generality on the …

The dressing field method for diffeomorphisms: a relational framework

JTF Andre - Journal of Physics A: Mathematical and Theoretical, 2024 - iopscience.iop.org
The dressing field method for diffeomorphisms: a relational framework - IOPscience Skip to
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Note on the group of vertical diffeomorphisms of a principal bundle & its relation to the Frölicher-Nijenhuis bracket

J François - Journal of High Energy Physics, 2024 - Springer
A bstract The group of vertical diffeomorphisms of a principal bundle forms the action Lie
groupoid associated to the bundle. The former is generated by the group of maps with value …