A Family of $4D$ $\mathcal{N}=2$ Interacting SCFTs from the Twisted $A_{2N}$ Series

TL;DR

This paper constructs an infinite family of 4D N=2 superconformal field theories from twisted compactifications of 6D (2,0) theories, revealing new insights into their structure and properties at strong coupling.

Contribution

It introduces a novel class of 4D N=2 SCFTs derived from twisted A_{2N} theories, expanding the landscape of known superconformal theories and their geometric origins.

Findings

Identified an infinite family of interacting SCFTs from twisted compactifications.

Connected these theories to strong-coupling limits of specific gauge theories.

Characterized the properties of the N=1 case using superconformal index.

Abstract

We find an infinite family of $4D$ $\mathcal{N}=2$ interacting superconformal field theories which enter the description of the strong-coupling limit of $SU(2N+1)$ gauge theories with hypermultiplets in the $\wedge^2(\square)+\text{Sym}^2(\square)$ . These theories arise from the compactification of the $6D$ $(2,0)$ theory of type $A_{2N}$ on a sphere with two full twisted punctures and one minimal untwisted puncture. For $N=1$, this theory is the "new" rank-1 SCFT with $\Delta(u)=3$ of Argyres and Wittig. Using the superconformal index, we finally pin down the properties of this theory.