One-loop corrections to the celestial chiral algebra from Koszul Duality
High Energy Physics - Theory
2023-04-28 v2
Abstract
We consider self-dual Yang-Mills theory (SDYM) in four dimensions and its lift to holomorphic BF theory on twistor space. Following the work of Costello and Paquette, we couple SDYM to a quartic axion field, which guarantees associativity of the (extended) celestial chiral algebra at the quantum level. We demonstrate how to reproduce their one-loop quantum deformation to the chiral algebra using Koszul duality.
Keywords
Cite
@article{arxiv.2302.14292,
title = {One-loop corrections to the celestial chiral algebra from Koszul Duality},
author = {Víctor E. Fernández},
journal= {arXiv preprint arXiv:2302.14292},
year = {2023}
}
Comments
15 pages, 8 figures; v2: corrected typos, added references, added an additional appendix, JHEP published version