Abstract
We study certain \( \mathcal{N}=1 \) preserving deformations of four-dimensional \( \mathcal{N}=2 \) superconformal field theories (SCFTs) with non-abelian flavor symmetry. The deformation is described by adding an \( \mathcal{N}=1 \) chiral multiplet transforming in the adjoint representation of the flavor symmetry with a superpotential coupling, and giving a nilpotent vacuum expectation value to the chiral multiplet which breaks the flavor symmetry. This triggers a renormalization group flow to an infrared SCFT. Remarkably, we find classes of theories flow to enhanced \( \mathcal{N}=2 \) supersymmetric fixed points in the infrared under the deformation. They include generalized Argyres-Douglas theories and rank-one SCFTs with non-abelian flavor symmetries. Most notably, we find renormalization group flows from the deformed conformal SQCDs to the (A 1 , A n ) Argyres-Douglas theories. From these “Lagrangian descriptions,” we compute the full superconformal indices of the (A 1 , A n ) theories and find agreements with the previous results. Furthermore, we study the cases, including the T N and R 0,N theories of class \( \mathcal{S} \) and some of rank-one SCFTs, where the deformation gives genuine \( \mathcal{N}=1 \) fixed points.
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Maruyoshi, K., Song, J. \( \mathcal{N}=1 \) deformations and RG flows of \( \mathcal{N}=2 \) SCFTs. J. High Energ. Phys. 2017, 75 (2017). https://doi.org/10.1007/JHEP02(2017)075
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DOI: https://doi.org/10.1007/JHEP02(2017)075