@article{19f8c0e2939746f9aab885f23f14db8f,

title = "Kac-Moody symmetry in the light front of gauge theories",

abstract = "We discuss the emergence of a new symmetry generator in a Hamiltonian realisation of four-dimensional gauge theories in the flat space foliated by retarded (advanced) time. It generates an asymptotic symmetry that acts on the asymptotic fields in a way different from the usual large gauge transformations. The improved canonical generators, corresponding to gauge and asymptotic symmetries, form a classical Kac-Moody charge algebra with a non-trivial central extension. In particular, we describe the case of electromagnetism, where the charge algebra is the U(1) current algebra with a level proportional to the coupling constant of the theory, κ = 4π 2/e 2. We construct bilinear generators yielding Virasoro algebras on the null boundary. We also provide a non-Abelian generalization of the previous symmetries by analysing the evolution of Yang-Mills theory in Bondi coordinates.",

keywords = "Gauge Symmetry, Global Symmetries, Scale and Conformal Symmetries, Space-Time Symmetries",

author = "Gonz{\'a}lez, {Hern{\'a}n A.} and Oriana Labrin and Olivera Miskovic",

note = "Funding Information: We thank Glenn Barnich, Milutin Blagojevic, Jordan Francois, Oscar Fuentealba, Marc Henneaux, Pantelis Panopoulos, Alfredo P{\'e}rez, Arash Ranjbar, Francisco Rojas, Dejan Simic and Ricardo Troncoso for useful discussions. This research has been supported by FONDECYT grants 11190427, 1190533, 1210635, 1211545, 1221920, 1230853 and 1231779. We would also like to acknowledge the support of ANID/ACT210100 ANILLO grant. Funding Information: We thank Glenn Barnich, Milutin Blagojevic, Jordan Francois, Oscar Fuentealba, Marc Henneaux, Pantelis Panopoulos, Alfredo P{\'e}rez, Arash Ranjbar, Francisco Rojas, Dejan Simic and Ricardo Troncoso for useful discussions. This research has been supported by FONDECYT grants 11190427, 1190533, 1210635, 1211545, 1221920, 1230853 and 1231779. We would also like to acknowledge the support of ANID/ACT210100 ANILLO grant. Publisher Copyright: {\textcopyright} 2023, The Author(s).",

year = "2023",

month = jul,

doi = "10.1007/JHEP06(2023)165",

language = "English",

volume = "2023",

journal = "Journal of High Energy Physics",

issn = "1126-6708",

publisher = "Springer Verlag",

number = "6",

}