Conformal Blocks from Celestial Gluon Amplitudes

Understand

In celestial conformal field theory, gluons are represented by primary fields with dimensions $\Delta=1+i\lambda$, $\lambda\in\mathbb{R}$ and spin $J=\pm 1$, in the adjoint representation of the gauge group.

• All two- and three-point correlation functions of these fields are zero as a consequence of four-dimensional kinematic constraints.
• Four-point correlation functions contain delta-function singularities enforcing planarity of four-particle scattering events.
• We relax these constraints by taking a shadow transform of one field and perform conformal block decomposition of the corresponding correlators.