Construction and classification of Coulomb branch geometries

Abstract

We give a non-technical summary of the classification program, very dear to the hearts of both authors, of four dimensional $\mathcal{N}=2$ superconformal field theories (SCFTs) based on the study of their Coulomb branch geometries. We outline the main ideas behind this program, review the most important results thus far obtained, and the prospects for future results. This contribution will appear in the volume "the Pollica perspective on the (super)-conformal world" but we decided to also make it available separately in the hope that it could be useful to those who are interested in obtaining a quick grasp of this rapidly developing program.

arXiv comment8 pages, 1 figure

References in corpus (6)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Geometric constraints on the space of N=2 SCFTs I: physical constraints on relevant deformations
• Geometric classification of 4d $\mathcal{N}=2$ SCFTs
• Gauge theories from principally extended disconnected gauge groups
• Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated
• The Singularity Structure of Scale-Invariant Rank-2 Coulomb Branches

Cited by in corpus (6)

• Magnetic quivers for rank 2 theories
• Testing our understanding of SCFTs: a catalogue of rank-2 $\mathcal{N}$=2 theories in four dimensions
• The Characteristic Dimension of Four-dimensional $\mathcal{N}=2$ SCFTs
• Four flavours, triality and bimodular forms
• Aspects of 4d supersymmetric dynamics and geometry
• Four-dimensional $\mathcal{N}=1$ SCFTs on S-folds with T-branes and AdS/CFT correspondence