Gravitational Wilson networks and Witten diagrams

The main topic of my talk is the correspondence between the gravitational Wilson line networks and Witten diagrams for massive scalar fields in AdS. I will show that Witten diagram can be expanded into a sum of the gravitational Wilson line networks, where each term in the sum has distinct boundary behaviour. This expansion is similar to the conformal block expansion of conformal correlators and clearly shows the holographic correspondence between Witten diagrams in the bulk and conformal blocks at the boundary of AdS.