Gaiotto Duality for the Twisted A_{2N-1} Series

Abstract

We study 4D N=2 superconformal theories that arise from the compactification of 6D N=(2,0) theories of type A_{2N-1} on a Riemann surface C, in the presence of punctures twisted by a Z_2 outer automorphism. We describe how to do a complete classification of these SCFTs in terms of three-punctured spheres and cylinders, which we do explicitly for A_3, and provide tables of properties of twisted defects up through A_9. We find atypical degenerations of Riemann surfaces that do not lead to weakly-coupled gauge groups, but to a gauge coupling pinned at a point in the interior of moduli space. As applications, we study: i) 6D representations of 4D superconformal quivers in the shape of an affine/non-affine D_n Dynkin diagram, ii) S-duality of SU(4) and Sp(2) gauge theories with various combinations of fundamental and antisymmetric matter, and iii) realizations of all rank-one SCFTs predicted by Argyres and Wittig.

arXiv comment68 pages, 111 figures

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Cited by in corpus (28)

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• N=2 supersymmetric dynamics for pedestrians
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• Central charges and RG flow of strongly-coupled N=2 theory
• Quiver Tails and N=1 SCFTs from M5-branes
• Geometric constraints on the space of N=2 SCFTs I: physical constraints on relevant deformations
• Classification of 4d N=2 gauge theories
• M5 brane and four dimensional N=1 theories I
• A review of the T_N theory and its cousins
• Small instanton transitions for M5 fractions
• Global Form of Flavor Symmetry Groups in 4d N=2 Theories of Class S
• New N=1 Dualities from M5-branes and Outer-automorphism Twists
• A Family of $4D$ $\mathcal{N}=2$ Interacting SCFTs from the Twisted $A_{2N}$ Series
• Testing our understanding of SCFTs: a catalogue of rank-2 $\mathcal{N}$=2 theories in four dimensions
• Compactifications of 5d SCFTs with a twist
• Argyres-Douglas matter and N=2 dualities
• 4d N=2 SCFT from Complete Intersection Singularity
• Expanding the landscape of $\mathcal{N}$=2 rank 1 SCFTs
• Infinitely many N=1 dualities from $m+1-m=1$
• Confinement and duality in supersymmetric gauge theories
• Tau-functions for Quiver Gauge Theories
• $\mathcal{N}=2$ SCFT with minimal flavor central charge
• Product SCFTs for the $E_7$ Theory
• Weak Coupling Limits and Colliding Punctures in Class-S Theories
• Families of Hitchin systems and N=2 theories
• On the classification of planar rank-1 d=4 N=2 superconformal field theories