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

Abstract

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

• Anomalies in Field and String Theories
• Conformal and W Symmetry
• Gauge Symmetry
• Scattering Amplitudes