Revisiting N=4 superconformal blocks

TL;DR

This paper derives superconformal blocks for four-point functions of half-BPS supermultiplets in N=4 SCFT using the two-particle Casimir, extending previous results and enabling detailed analysis of correlators.

Contribution

It introduces a method to derive superconformal blocks on analytic superspace for N=4 SCFT, generalizing prior work by Dolan and Osborn.

Findings

Derived superconformal blocks using the two-particle Casimir.

Blocks are defined on analytic superspace, enabling component extraction.

Lowest component matches previous superconformal block results.

Abstract

We study four-point correlation functions of four generic half-BPS supermultiplets of N=4 SCFT in four dimensions. We use the two-particle Casimir of four-dimensional superconformal algebra to derive superconformal blocks which contribute to the partial wave expansion of such correlators. The derived blocks are defined on analytic superspace and allow us in principle to find any component of the four-point correlator. The lowest component of the result agrees with the superconformal blocks found by Dolan and Osborn.