# Superconformal Blocks for SCFTs with Eight Supercharges

## TL;DR

This paper develops a unified formalism for superconformal algebras with eight supercharges across dimensions 3 to 6, enabling explicit construction of superconformal blocks for protected scalar operators.

## Contribution

It introduces a unified approach to treat superconformal algebras with eight supercharges and derives superconformal blocks for various dimensions and operators.

## Key findings

- Explicit superconformal blocks constructed for all dimensions 3 to 6.
- Formalism simplifies analysis of superconformal Casimir operators.
- Applicable to protected scalar operators in flavor current multiplets.

## Abstract

We show how to treat the superconformal algebras with eight Poincar\'e supercharges in a unified manner for spacetime dimension $2 < d\leq 6$. This formalism is ideally suited for analyzing the quadratic Casimir operator of the superconformal algebra and its use in deriving superconformal blocks. We illustrate this by an explicit construction of the superconformal blocks, for any value of the spacetime dimension, for external protected scalar operators which are the lowest component of flavor current multiplets.