Infinitely many 4d N=1 SCFTs with a=c

TL;DR

This paper constructs infinitely many four-dimensional $ =1$ superconformal field theories with equal central charges $a=c$ by gauging flavor symmetries of Argyres--Douglas theories, expanding the landscape of known SCFTs with this property.

Contribution

It introduces a novel construction method for infinitely many 4d $ =1$ SCFTs with $a=c$ using diagonal gauging of $ =2$ theories, including cases with additional chiral multiplets.

Findings

Constructed infinitely many $a=c$ SCFTs via gauging Argyres--Douglas theories.

Identified features of $a eq c$ SCFTs through generalizations.

Demonstrated flow to interacting SCFTs with $a=c$ in the IR.

Abstract

We study a rich set of four-dimensional $\mathcal{N}=1$ superconformal field theories (SCFTs) with both central charges identical: $a = c$. We construct them via the diagonal $\mathcal{N}=1$ gauging of the flavor symmetry $G$ of a collection of $\mathcal{N}=2$ Argyres--Douglas theories of type $\mathcal{D}_p(G)$, with or without additional adjoint chiral multiplets. In this way, we construct infinitely-many theories that flow to interacting SCFTs with $a = c$ in the infrared. Finally, we briefly highlight the features of the SCFTs without $a = c$ that arise from generalizing this construction.