Argyres-Douglas Theories in Class S Without Irregularity

TL;DR

This paper explores twisted $A_{2n}$ class S theories, revealing they can realize Argyres-Douglas models using only regular punctures, and provides detailed analysis of twisted $A_2$ theories and their dualities.

Contribution

It demonstrates that twisted $A_{2n}$ theories can produce Argyres-Douglas models without irregular punctures, challenging previous assumptions and analyzing their dualities.

Findings

Twisted $A_{2n}$ theories can realize Argyres-Douglas models with regular punctures.

Detailed analysis of twisted $A_2$ trinion theories and their interrelations.

Identification of generalized S-dualities among these theories.

Abstract

We make a preliminary investigation into twisted $A_{2n}$ theories of class S. Contrary to a common piece of folklore, we establish that theories of this type realise a variety of models of Argyres-Douglas type while utilising only regular punctures. We present an in-depth analysis of all twisted $A_2$ trinion theories, analyse their interrelations via partial Higgsing, and discuss some of their generalised S-dualities.