4d $\mathcal{N}$=2 theories with disconnected gauge groups

Abstract

In this paper we present a beautifully consistent web of evidence for the existence of interacting 4d rank-1 $\mathcal{N}=2$ SCFTs obtained from gauging discrete subgroups of global symmetries of other existing 4d rank-1 $\mathcal{N}=2$ SCFTs. The global symmetries that can be gauged involve a non-trivial combination of discrete subgroups of the $U(1{)}_R$, low-energy EM duality group $SL(2,\mathbb{Z})$, and the outer automorphism group of the flavor symmetry algebra, Out($F$). The theories that we construct are remarkable in many ways: (i) two of them have exceptional $F_4$ and $G_2$ flavor groups; (ii) they substantially complete the picture of the landscape of rank-1 $\mathcal{N}=2$ SCFTs as they realize all but one of the remaining consistent rank-1 Seiberg-Witten geometries that we previously constructed but were not associated to known SCFTs; and (iii) some of them have enlarged $\mathcal{N}=3$ SUSY, and have not been previously constructed. They are also examples of SCFTs which violate the Shapere-Tachikawa relation between the conformal central charges and the scaling dimension of the Coulomb branch vev. We propose a modification of the formulas computing these central charges from the topologically twisted Coulomb branch partition function which correctly compute them for discretely gauged theories.

45 pages, 3 figures

References in corpus (3)

• Generalized Global Symmetries
• N=3 four dimensional field theories
• S-folds and 4d N=3 superconformal field theories

Cited by in corpus (43)

• Coulomb and Higgs Branches from Canonical Singularities: Part 0
• IIB flux non-commutativity and the global structure of field theories
• N=1 Lagrangians for generalized Argyres-Douglas theories
• Magnetic quivers for rank 1 theories
• 8d Supergravity, Reconstruction of Internal Geometry and the Swampland
• 4d $\mathcal{N}=2$ S-folds
• Gauge theories from principally extended disconnected gauge groups
• S-fold magnetic quivers
• Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated
• Long Multiplet Bootstrap
• 1-Form Symmetry, Isolated N=2 SCFTs, and Calabi-Yau Threefolds
• A slow review of the AGT correspondence
• 6d SCFTs, Center-Flavor Symmetries, and Stiefel--Whitney Compactifications
• Special Geometry and the Swampland
• Towards a classification of rank $r$ $\mathcal{N}=2$ SCFTs Part II: special Kahler stratification of the Coulomb branch
• Tinkertoys for the E7 Theory
• Bootstrapping the $(A_1,A_2)$ Argyres-Douglas theory
• S-folds, String Junctions, and 4D $\mathcal{N}=2$ SCFTs
• Non-invertible symmetries along 4d RG flows
• The Singularity Structure of Scale-Invariant Rank-2 Coulomb Branches
• 4d $\mathcal{N}=3$ indices via discrete gauging
• Towards the classification of rank-$r$ $\mathcal{N}=2$ SCFTs. Part I: twisted partition function and central charge formulae
• Coulomb branches with complex singularities
• Disconnected 0-Form and 2-Group Symmetries
• An N=1 Lagrangian for an N=3 SCFT
• Special Arithmetic of Flavor
• Needles in a haystack: An algorithmic approach to the classification of 4d $\mathcal{N}=2$ SCFTs
• Testing our understanding of SCFTs: a catalogue of rank-2 $\mathcal{N}$=2 theories in four dimensions
• Infrared enhancement of supersymmetry in four dimensions
• Probing 7-branes on Orbifolds
• On the compactification of 5d theories to 4d
• Homological Classification of 4d $\mathcal{N}=2$ QFT. Part I: Rank-1 revisited
• Non-Connected Gauge Groups and the Plethystic Program
• Flowing from 16 to 32 Supercharges
• Reading between the rational sections: Global structures of 4d $\mathcal{N}=2$ KK theories
• Classification of all $\mathcal{N}\ge 3$ moduli space orbifold geometries at rank 2
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• A new rank-2 Argyres-Douglas theory
• On low rank 4d $\mathcal{N}=2$ SCFTs
• N = 3 SCFTs in 4 dimensions and non-simply laced groups
• Disconnected gauge groups in the infrared
• Coulomb branch surgery: Holonomy saddles, S-folds and discrete symmetry gaugings
• Four-dimensional $N=1$ theories, S-fold constraints on T-branes, and behaviors in IR and UV