Lecture Notes on Symmetry Reduction via the Dressing Field Method
Abstract
These notes - prepared for the conference school "Foundations of General-Relativistic Gauge Field Theory", held on March 17-19, 2026 at the Politecnico di Torino - present introductory material on symmetry reduction in general-relativistic Gauge Field Theory (gRGFT) via the Dressing Field Method (DFM). The DFM provides a systematic framework for extracting gauge- and diffeomorphism-invariant, manifestly relational, physical observables and degrees of freedom in gRGFT. A range of illustrative examples are discussed, spanning both Gauge Field Theory and general-relativistic settings. These include applications to non-Abelian Chern-Simons theory, Maxwell electromagnetism, the non-Abelian Higgs model, supersymmetric field theory, General Relativity, and scalar coordinatization.
Cite
@article{arxiv.2603.29505,
title = {Lecture Notes on Symmetry Reduction via the Dressing Field Method},
author = {L. Ravera},
journal= {arXiv preprint arXiv:2603.29505},
year = {2026}
}
Comments
44 pages, v2, Lecture notes PoS Proceedings of the Conference School "Foundations of General-Relativistic Gauge Field Theory" - March 17-19, 2026 - Politecnico di Torino, Torino, Italy