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 quasi-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 $D_6$-invariance presented previously. We also demonstrate the proper action of the differential operator used to construct the $H$-function.

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Cited by in corpus (5)

• Seven-Point Conformal Blocks in the Extended Snowflake Channel and Beyond
• Efficient Rules for All Conformal Blocks
• Conformal Two-Point Correlation Functions from the Operator Product Expansion
• All Global One- and Two-Dimensional Higher-Point Conformal Blocks
• Analytic Studies of Fermions in the Conformal Bootstrap