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.

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

References in corpus (2)

• Celestial holography meets twisted holography: 4d amplitudes from chiral correlators
• On the associativity of 1-loop corrections to the celestial operator product in gravity