Journal Article

A study of$$ \\mathcal{N} $$= 1 SCFT derived from$$ \\mathcal{N} $$= 2 SCFT: index and chiral ring

Yan, Wenbin, Xie, Dan

2023

Overview

One can derive a large class of new$$ \\mathcal{N} $$N = 1 SCFTs by turning on$$ \\mathcal{N} $$N = 1 preserving deformations for$$ \\mathcal{N} $$N = 2 Argyres-Dougals theories. In this work, we use$$ \\mathcal{N} $$N = 2 superconformal indices to get indices of$$ \\mathcal{N} $$N = 1 SCFTs, then use these indices to derive chiral rings of$$ \\mathcal{N} $$N = 1 SCFTs. For a large class of$$ \\mathcal{N} $$N = 2 theories, we find that the IR theory contains only free chirals if we deform the parent$$ \\mathcal{N} $$N = 2 theory using the Coulomb branch operator with smallest scaling dimension. Our results provide interesting lessons on studies of$$ \\mathcal{N} $$N = 1 theories, such as a -maximization, accidental symmetries, chiral ring, etc.