On the classification of planar rank-1 d=4 N=2 superconformal field theories

TL;DR

This paper presents a method for classifying four-dimensional N=2 superconformal field theories with a focus on their Coulomb branches, Higgs/mixed branches, and central charges, advancing understanding of their structure.

Contribution

It introduces a new approach to classify 4D N=2 superconformal field theories based on their Coulomb branch topology and related properties.

Findings

Classification scheme for N=2 SCFTs with Coulomb branch topology

Analysis of Higgs and mixed branches in these theories

Insights into conformal and flavor central charges

Abstract

We describe an approach to classifying four-dimensional conformal field theories with N=2 supersymmetry and a Coulomb branch of vacua with the topology of the complex plane. We also discuss the Higgs/mixed branches and conformal/flavor central charges.