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

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.

arXiv comment43 pages+references, 11 figures, 5 tables, Journal published version

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