Lagrangians for generalized Argyres-Douglas theories

Abstract

We continue the study of Lagrangian descriptions of $\mathcal{N}=2$ Argyres-Douglas theories. We use our recent interpretation in terms of sequential confinement to guess the Lagrangians of all the Argyres-Douglas models with Abelian three dimensional mirror. We find classes of four dimensional $\mathcal{N}=1$ quivers that flow in the infrared to generalized Argyres-Douglas theories, such as the $(A_k,A_{kN+N-1})$ models. We study in detail how the $\mathcal{N}=1$ chiral rings map to the Coulomb and Higgs Branches of the $\mathcal{N}=2$ CFT's. The three dimensional mirror RG flows are shown to land on the $\mathcal{N}=4$ complete graph quivers. We also compactify to three dimensions the gauge theory dual to $(A_1,D_4)$, and find the expected Abelianization duality with $\mathcal{N}=4$ SQED with $3$ flavors.

49 pages. v2: refs added

References in corpus (17)

• R-Twisting and 4d/2d Correspondences
• Mirrors of 3d Sicilian theories
• N=1 Deformations and RG Flows of N=2 SCFTs
• N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
• Supersymmetric gauge theories with decoupled operators and chiral ring stability
• N=1 Lagrangians for generalized Argyres-Douglas theories
• Abelianization and Sequential Confinement in $2+1$ dimensions
• Quiver Tails and N=1 SCFTs from M5-branes
• On Irregular Singularity Wave Functions and Superconformal Indices
• Complete Graphs, Hilbert Series, and the Higgs branch of the 4d N=2 $(A_n,A_m)$ SCFT's
• More Three Dimensional Mirror Pairs
• The moduli spaces of $3d$ $\mathcal{N}\ge 2$ Chern-Simons gauge theories and their Hilbert series
• 3d duality with adjoint matter from 4d duality
• Four dimensional superconformal theories from M5 branes
• On Conformal Deformations II
• K stability and stability of chiral ring
• Homological S-Duality in 4d N=2 QFTs

Cited by in corpus (10)

• N=1 Lagrangians for generalized Argyres-Douglas theories
• Abelianization and Sequential Confinement in $2+1$ dimensions
• New aspects of Argyres--Douglas theories and their dimensional reduction
• Maruyoshi-Song Flows and Defect Groups of $D_p^b(G)$ Theories
• Rationalizing CFTs and Anyonic Imprints on Higgs Branches
• Dualities for adjoint SQCD in three dimensions and emergent symmetries
• 4d/2d $\to$ 3d/1d: A song of protected operator algebras
• Lectures on chiral algebras of $\mathcal{N}⩾2$ superconformal field theories
• Soft supersymmetry breaking of 4d $\mathcal{N}=2$ SCFT
• FI-flows of 3d N=4 Theories