English

On Twisted $A_{2n}$ Class-S Theories

High Energy Physics - Theory 2024-11-27 v1

Abstract

In this paper, we investigate the twisted A2nA_{2n} sector of class-S theories. Heretofore, the Coulomb branches of such theories have been poorly understood. In this, and a companion paper, we make progress in our understanding of them. In particular, we find a formula for the dimension of the Coulomb branch of any twisted A2nA_{2n} class-S theory. Deferring a systematic analysis to the companion paper, we here determine many contributions of punctures to the graded Coulomb branch dimensions, and in some low rank cases, all of them. We are then able to identify a variety of known 4d N=2\mathcal{N}=2 SCFTs with twisted A2nA_{2n} theories, and reproduce many of their known properties, such as S-duality amongst certain Argyres-Douglas theories.

Keywords

Cite

@article{arxiv.2411.17675,
  title  = {On Twisted $A_{2n}$ Class-S Theories},
  author = {Jacques Distler and Grant Elliot},
  journal= {arXiv preprint arXiv:2411.17675},
  year   = {2024}
}

Comments

18 pages + references

R2 v1 2026-06-28T20:13:31.585Z