A study of N =1 SCFT derived from N =2 SCFT: index and chiral ring

Abstract

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

41 pages. arXiv admin note: text overlap with arXiv:0912.4918 by other authors

References in corpus (6)

• Applications of the Superconformal Index for Protected Operators and q-Hypergeometric Identities to N=1 Dual Theories
• N=1 Deformations and RG Flows of N=2 SCFTs
• Essays on the theory of elliptic hypergeometric functions
• On the Superconformal Index of N=1 IR Fixed Points: A Holographic Check
• Vertex operator algebras of Argyres-Douglas theories from M5-branes
• On Irregular Singularity Wave Functions and Superconformal Indices

Cited by in corpus (1)

• On the Protected Spectrum of the Minimal Argyres-Douglas Theory