Classification of Argyres-Douglas theories from M5 branes

TL;DR

This paper classifies a broad class of 4d Argyres-Douglas theories derived from 6d (2,0) theories, exploring their geometric and algebraic structures, and analyzing their physical properties such as spectra and charges.

Contribution

It introduces a systematic classification of irregular punctures for ADE-type 6d theories, linking Hitchin systems with three-fold singularities, and explores various constructions and features of the resulting 4d theories.

Findings

New classes of Argyres-Douglas theories identified

Connections established between Hitchin systems and singularity descriptions

Analysis of Coulomb branch spectra and central charges

Abstract

We obtain a large class of new 4d Argyres-Douglas theories by classifying irregular punctures for the 6d (2,0) superconformal theory of ADE type on a sphere. Along the way, we identify the connection between the Hitchin system and three-fold singularity descriptions of the same Argyres-Douglas theory. Other constructions such as taking degeneration limits of the irregular puncture, adding an extra regular puncture, and introducing outer-automorphism twists are also discussed. Later we investigate various features of these theories including their Coulomb branch spectrum and central charges.