Celestial 1-form symmetries
High Energy Physics - Theory
2026-04-14 v1
Abstract
The -algebra originally arose as a chiral algebra of asymptotic symmetries of Yang-Mills theory. We show that in the self-dual sector of Yang-Mills, the -algebra gets upgraded to an infinite-dimensional algebra of -form symmetries in the bulk. The associated 2-form currents encode the integrability and hierarchies of self-dual Yang-Mills. As an application, we prove the equality of Carrollian corner charges with modes of the celestial chiral algebra by expressing them as integrals of the same 2-form currents over homologous 2-cycles.
Cite
@article{arxiv.2604.11602,
title = {Celestial 1-form symmetries},
author = {Laurent Freidel and Atul Sharma},
journal= {arXiv preprint arXiv:2604.11602},
year = {2026}
}
Comments
17 pages