Coset symmetries and coadjoint orbits
High Energy Physics - Theory
2025-10-07 v2 Mathematical Physics
math.MP
Abstract
In these lectures we review two approaches to constructing particle actions from coset spaces of symmetry groups: non-linear realisations and coadjoint orbits. At the level of particle actions, we observe that they coincide. We also provide an introduction to symplectic geometry and we sketch the theory of coadjoint orbits for the Poincar\'e group.
Keywords
Cite
@article{arxiv.2411.05918,
title = {Coset symmetries and coadjoint orbits},
author = {Ismaël Ahlouche Lahlali and Josh A. O'Connor},
journal= {arXiv preprint arXiv:2411.05918},
year = {2025}
}
Comments
79 pages, 2 tables, 1 figure. Lectures given at XX Modave Summer School in Mathematical Physics, 2024