GGI lectures on boundary and asymptotic symmetries
Abstract
Support material for lectures at the May '25 Galileo Galilei Institute school on asymptotic sym- metries and flat holography. Contains an introduction to Noether theorem for gauge theories and gravity, covariant phase space formalism, boundary and asymptotic symmetries, flux-balance laws on null hypersurfaces, future null infinity in Bondi-Sachs coordinates and with Penrose's conformal compactification, BMS symmetries and their charges and fluxes. Includes an original and pedagogical derivation of the BMS group using only Minkowski, and an original derivation of an integral Hamiltonian generator for diffeomorphisms of a scalar field on a null hypersurface.
Keywords
Cite
@article{arxiv.2512.16810,
title = {GGI lectures on boundary and asymptotic symmetries},
author = {Simone Speziale},
journal= {arXiv preprint arXiv:2512.16810},
year = {2026}
}
Comments
v2: largely rewritten for better clarity with extended discussions and examples. Various numerical factors fixed. Expanded bibliography. 75 pages, 4 figures