Further Results on a Function Relevant for Conformal Blocks

Abstract

We present further mathematical results on a function appearing in the conformal blocks of four-point correlation functions with arbitrary primary operators. The 𝐻-function was introduced in a previous article, and it has several interesting properties. We prove explicitly the recurrence relation as well as the 𝐷₆-invariance presented previously. We also demonstrate the proper action of the differential operator used to construct the 𝐻-function.