A landscape of 4d N=1 SCFTs with a=c

TL;DR

This paper explores a landscape of 4d $ =1$ SCFTs with equal central charges, constructed via RG flows from $ =2$ Argyres--Douglas theories, revealing dualities and supersymmetry enhancements.

Contribution

It systematically catalogs $a=c$ fixed points in a specific class of $ =1$ SCFTs derived from $ =2$ theories, uncovering new dualities and supersymmetry enhancements.

Findings

Identified a network of $a=c$ fixed points.

Discovered dualities within the fixed points.

Found instances of supersymmetry enhancement.

Abstract

We study a landscape of four-dimensional $\mathcal{N}=1$ superconformal field theories (SCFTs) with identical central charges. These theories are obtained by renormalization group flows triggered by supersymmetry-preserving superpotential deformations of the $\mathcal{N}=1$ gauging of the flavor symmetry of a collection of $\mathcal{N}=2$ $\mathcal{D}_p(G)$ Argyres--Douglas SCFTs. In this work, we focus on the fixed points in the landscape of the $SU(3)$ gauging of three copies of the $\mathcal{D}_2(SU(3)) = H_2$ theory together with an adjoint-valued chiral multiplet. We catalogue the network of $a = c$ fixed points, and, along the way, we find a variety of dualities and instances of supersymmetry enhancement.