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

oleh: Dan Xie, Wenbin Yan

Format: Article
Diterbitkan: SpringerOpen 2023-03-01

Deskripsi

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