Celestial Liouville theory for Yang-Mills amplitudes

• DOI: 10.1016/j.physletb.2022.137588
• Publication Date: 2022-11-23T13:29:22Z
• Authors: Stephan Stieberger; Tomasz R. Taylor; Bin Zhu
• Keywords: Yang–Mills theory; Liouville field theory

We consider Yang-Mills theory with the coupling constant and theta angle determined by vacuum expectation values of a dynamical (complex, zero mass) dilaton field. discuss tree-level N-gluon MHV scattering amplitudes in presence nontrivial background field construct corresponding celestial taking Mellin transforms respect to light cone frame energies. In this way, we obtain two-dimensional CFT correlators primary fields on sphere. show that evaluated spherical shockwave are given correlation functions operators factorized into holomorphic current times "light" Liouville operators. They semiclassical limit (the infinite central charge) classical describing metrics