Geometric constraints on the space of N=2 SCFTs III: enhanced Coulomb branches and central charges

Abstract

This is the third in a series of three papers on the systematic analysis of rank 1 four dimensional $\mathcal{N}=2$ SCFTs. In the first two papers we developed and carried out a strategy for classifying and constructing physical planar rank-1 Coulomb branch geometries of $\mathcal{N}=2$ SCFTs. Here we describe general features of the Higgs and mixed branch geometries of the moduli space of these SCFTs, and use this, along with their Coulomb branch geometry, to compute their conformal and flavor central charges. We conclude with a summary of the state of the art for rank-1 $\mathcal{N}=2$ SCFTs.

Minor edits and updated references

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Cited by in corpus (17)

• Vertex operator algebras, Higgs branches, and modular differential equations
• Universal correlation functions in rank 1 SCFTs
• Geometric classification of 4d $\mathcal{N}=2$ SCFTs
• Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated
• Special Geometry and the Swampland
• Exceptional $\mathcal{N}=3$ theories
• S-folds, String Junctions, and 4D $\mathcal{N}=2$ SCFTs
• The Singularity Structure of Scale-Invariant Rank-2 Coulomb Branches
• Geometric constraints on the space of N=2 SCFTs II: Construction of special Kähler geometries and RG flows
• Testing our understanding of SCFTs: a catalogue of rank-2 $\mathcal{N}$=2 theories in four dimensions
• Infrared enhancement of supersymmetry in four dimensions
• Flowing from 16 to 32 Supercharges
• The Characteristic Dimension of Four-dimensional $\mathcal{N}=2$ SCFTs
• The Partition Function Of Argyres-Douglas Theory On A Four-Manifold
• On the exponentially small corrections to $\mathcal{N}=2$ superconformal correlators at large R-charge
• On the moduli spaces of 4d $\mathcal{N}=3$ SCFTs I: triple special Kähler structure
• $\mathcal{N}=3$ four dimensional field theories