Tinkertoys for the Twisted D-Series

Abstract

We study 4D N=2 superconformal field theories that arise from the compactification of 6D N=(2,0) theories of type D_N on a Riemann surface, in the presence of punctures twisted by a Z_2 outer automorphism. Unlike the untwisted case, the family of SCFTs is in general parametrized, not by M_{g,n}, but by a branched cover thereof. The classification of these SCFTs is carried out explicitly in the case of the D_4 theory, in terms of three-punctured spheres and cylinders, and we provide tables of properties of twisted punctures for the D_5 and D_6 theories. We find realizations of Spin(8) and Spin(7) gauge theories with matter in all combinations of vector and spinor representations with vanishing beta-function, as well as Sp(3) gauge theories with matter in the 3-index traceless antisymmetric representation.

75 pages, 270 figures

References in corpus (9)

• S-duality in N=2 supersymmetric gauge theories
• The 4d Superconformal Index from q-deformed 2d Yang-Mills
• Mirrors of 3d Sicilian theories
• Tinkertoys for Gaiotto Duality
• Six-dimensional D_N theory and four-dimensional SO-USp quivers
• Tinkertoys for the Twisted D-Series
• Coulomb branch Hilbert series and Three Dimensional Sicilian Theories
• Gaiotto Duality for the Twisted A_{2N-1} Series
• On 2d TQFTs whose values are holomorphic symplectic varieties

Cited by in corpus (64)

• N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
• Bootstrapping $\mathcal{N}=2$ chiral correlators
• Down the rabbit hole with theories of class S
• Tinkertoys for the Twisted D-Series
• Classification of Argyres-Douglas theories from M5 branes
• Superconformal indices of generalized Argyres-Douglas theories from 2d TQFT
• N=2 supersymmetric dynamics for pedestrians
• 2-Group Symmetries in Class S
• Quiver Tails and N=1 SCFTs from M5-branes
• Classification of 4d N=2 gauge theories
• Compactification of 6d minimal SCFTs on Riemann surfaces
• Coulomb branch Hilbert series and Three Dimensional Sicilian Theories
• Magnetic quivers for rank 1 theories
• Compactifications of 6d $N=(1,0)$ SCFTs with non-trivial Stiefel-Whitney classes
• Codimension-two defects and Argyres-Douglas theories from outer-automorphism twist in 6d $(2,0)$ theories
• Quiver Theories for Moduli Spaces of Classical Group Nilpotent Orbits
• Relative Defects in Relative Theories: Trapped Higher-Form Symmetries and Irregular Punctures in Class S
• Tinkertoys for the Z3-twisted D4 Theory
• A review of the T_N theory and its cousins
• 4D Gauge Theories with Conformal Matter
• Global Form of Flavor Symmetry Groups in 4d N=2 Theories of Class S
• Small instanton transitions for M5 fractions
• A slow review of the AGT correspondence
• Studying superconformal symmetry enhancement through indices
• 6d SCFTs, Center-Flavor Symmetries, and Stiefel--Whitney Compactifications
• New N=2 superconformal field theories from S-folds
• New N=1 Dualities from M5-branes and Outer-automorphism Twists
• Towards a classification of rank $r$ $\mathcal{N}=2$ SCFTs Part II: special Kahler stratification of the Coulomb branch
• Magnetic quivers for rank 2 theories
• Tinkertoys for the E7 Theory
• Sequences of $6d$ SCFTs on generic Riemann surfaces
• The Singularity Structure of Scale-Invariant Rank-2 Coulomb Branches
• Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories
• Argyres-Douglas Theories in Class S Without Irregularity
• Testing our understanding of SCFTs: a catalogue of rank-2 $\mathcal{N}$=2 theories in four dimensions
• Distinguishing 6d (1,0) SCFTs: an extension to the geometric construction
• Higgs, Coulomb, and Hall-Littlewood
• Argyres-Douglas matter and N=2 dualities
• Discrete gauging and Hasse diagrams
• Structure of Anomalies of 4d SCFTs from M5-branes, and Anomaly Inflow
• On the compactification of 5d theories to 4d
• Argyres-Douglas matter and S-duality: Part II
• Brane webs in the presence of an $O{5}^{-}$-plane and 4d class S theories of type D
• Comments on the twisted punctures of $A_{\text{even}}$ class S theory
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Expanding the landscape of $\mathcal{N}$=2 rank 1 SCFTs
• A tale of 2-groups: D${}_p$(USp(2N)) theories
• Seiberg-Witten for $Spin(n)$ with Spinors
• Seiberg-Witten geometry of four-dimensional N=2 SO-USp quiver gauge theories, I
• The ABCDEFG of Little Strings
• Little String Defects and Bala-Carter Theory
• On the moduli spaces of 4d $\mathcal{N}=3$ SCFTs I: triple special Kähler structure
• On low rank 4d $\mathcal{N}=2$ SCFTs
• Distinquishing 4d N=2 SCFTs
• Quiver Polymerisation
• 1-form Symmetries of 4d N=2 Class S Theories
• Product SCFTs for the $E_7$ Theory
• Weak Coupling Limits and Colliding Punctures in Class-S Theories
• 4d $\mathcal{N}=2$ SCFTs and lisse W-algebras
• New Dualities and Misleading Anomaly Matchings from Outer-automorphism Twists
• Twisted chiral algebras of class $\mathcal{S}$ and mixed Feigin-Frenkel gluing
• Aspects of 4d supersymmetric dynamics and geometry
• The Hitchin Image in Type-D
• Orbi-Instantons and Class $\mathcal{S}$ Theories of Type D