4d N=2 SCFT from Complete Intersection Singularity

Abstract

Detailed studies of four dimensional N=2 superconformal field theories (SCFT) defined by isolated complete intersection singularities are performed: we compute the Coulomb branch spectrum, Seiberg-Witten solutions and central charges. Most of our theories have exactly marginal deformations and we identify the weakly coupled gauge theory descriptions for many of them, which involve (affine) D and E shaped quiver gauge theories and theories formed from Argyres-Douglas matters. These investigations provide strong evidence for the singularity approach in classifying 4d N=2 SCFTs.

46 pages, 85 figures

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Cited by in corpus (11)

• Three dimensional canonical singularity and five dimensional N=1 SCFT
• Geometric classification of 4d $\mathcal{N}=2$ SCFTs
• Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated
• The Singularity Structure of Scale-Invariant Rank-2 Coulomb Branches
• Argyres-Douglas matter and N=2 dualities
• On dimensional reduction of 4d N=1 Lagrangians for Argyres-Douglas theories
• Quantum Seiberg-Witten periods for $\mathcal{N}=2$ $SU(N_c)$ SQCD around the superconformal point
• 4d N=2 SCFT and singularity theory Part III: Rigid singularity
• On the moduli spaces of 4d $\mathcal{N}=3$ SCFTs I: triple special Kähler structure
• 4d $\mathcal{N}=2$ SCFTs and lisse W-algebras
• Mixed Hodge structure and $\mathcal{N}=2$ Coulomb branch solution