Radial expansion for spinning conformal blocks

Understand

This paper develops a method to compute any bosonic conformal block as a series expansion in the optimal radial coordinate introduced by Hogervorst and Rychkov.

• The method reduces to the known result when the external operators are all the same scalar operator, but it allows to compute conformal blocks for external operators with spin.
• Moreover, we explain how to write closed form recursion relations for the coefficients of the expansions.
• We study three examples of four point functions in detail: one vector and three scalars; two vectors and two scalars; two spin 2 tensors and two scalars.