Superconformal symmetry and representations

TL;DR

This paper introduces conformal and superconformal algebras, focusing on 4d N=2 superconformal symmetry, and discusses their representations across various dimensions, based on lectures from a winter school.

Contribution

It provides an accessible overview of superconformal algebras and their representations, emphasizing 4d N=2 symmetry, with educational intent from lecture material.

Findings

Detailed classification of superconformal algebras

Explanation of representation theory in various dimensions

Focus on 4d N=2 superconformal symmetry

Abstract

We give an introduction to conformal and superconformal algebras and their representations in various dimensions. Special emphasis is put on 4d $\mathcal{N}=2$ superconformal symmetry. This is the writeup of the lectures given at the Winter School "YRISW 2020" to appear in a special issue of JPhysA.