Celestial 1-form symmetries

Fuente: arXiv
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Auteurs principaux: Freidel, Laurent, Sharma, Atul
Format: Preprint
Publié: 2026
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author Freidel, Laurent
Sharma, Atul
author_facet Freidel, Laurent
Sharma, Atul
contents The $S$-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 $S$-algebra gets upgraded to an infinite-dimensional algebra of $1$-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.
format Preprint
id arxiv_https___arxiv_org_abs_2604_11602
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Celestial 1-form symmetries
Freidel, Laurent
Sharma, Atul
High Energy Physics - Theory
The $S$-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 $S$-algebra gets upgraded to an infinite-dimensional algebra of $1$-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.
title Celestial 1-form symmetries
topic High Energy Physics - Theory
url https://arxiv.org/abs/2604.11602