Remarks on the Convergence Properties of the Conformal Block Expansion

TL;DR

This paper refines convergence estimates of the conformal block expansion and introduces a new explicit formula for 3d conformal blocks on the real axis, advancing theoretical understanding in conformal field theory.

Contribution

It provides improved convergence bounds and a novel explicit formula for 3d conformal blocks, enhancing analytical tools in conformal field theory.

Findings

Refined convergence estimates for conformal block expansion.

Derived a new explicit formula for 3d conformal blocks on the real axis.

Improved analytical methods for conformal field theory analysis.

Abstract

We show how to refine conformal block expansion convergence estimates from hep-th/1208.6449. In doing so we find a novel explicit formula for the 3d conformal blocks on the real axis.