One-loop corrections to the celestial chiral algebra from Koszul Duality

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.

arXiv comment15 pages, 8 figures; v2: corrected typos, added references, added an additional appendix, JHEP published version

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