$E_8$ instantons on type-A ALE spaces and supersymmetric field theories

Abstract

We consider the 6d superconformal field theory realized on M5-branes probing the $E_8$ end-of-the-world brane on the deformed and resolved ${\mathbb{C}}^2/{\mathbb{Z}}_k$ singularity. We give an explicit algorithm which determines, for arbitrary holonomy at infinity, the 6d quiver gauge theory on the tensor branch, the type-A class S description of the $T^2$ compactification, and the star-shaped quiver obtained as the mirror of the $T^3$ compactification.

arXiv comment38 pages

References in corpus (25)

• N=2 dualities
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• Small Instantons in String Theory
• On the Classification of 6D SCFTs and Generalized ADE Orbifolds
• Atomic Classification of 6D SCFTs
• 6d Conformal Matter
• Webs of five-branes and N=2 superconformal field theories
• Branes and Six Dimensional Supersymmetric Theories
• Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories
• Mirrors of 3d Sicilian theories
• Branes at Orbifolds versus Hanany Witten in Six Dimensions
• Tinkertoys for Gaiotto Duality
• Point-like Instantons on K3 Orbifolds
• 5d quivers and their AdS(6) duals
• Coulomb Branch and The Moduli Space of Instantons
• Exceptional Indices
• More on 5d descriptions of 6d SCFTs
• A new 5d description of 6d D-type minimal conformal matter
• Anomaly polynomial of E-string theories
• 6d, N=(1,0) Coulomb Branch Anomaly Matching
• 6D RG Flows and Nilpotent Hierarchies
• Coulomb branch Hilbert series and Three Dimensional Sicilian Theories
• Explicit Construction of Yang-Mills Instantons on ALE Spaces
• $S^1/T^2$ Compactifications of 6d $\mathcal{N}=(1,0)$ Theories and Brane Webs
• Moduli spaces of SO(8) instantons on smooth ALE spaces as Higgs branches of 4d N=2 supersymmetric theories

Cited by in corpus (55)

• Fibers add Flavor, Part I: Classification of 5d SCFTs, Flavor Symmetries and BPS States
• The Higgs Mechanism -- Hasse Diagrams for Symplectic Singularities
• Fibers add Flavor, Part II: 5d SCFTs, Gauge Theories, and Dualities
• 3d Coulomb branch and 5d Higgs branch at infinite coupling
• Twisted Circle Compactifications of 6d SCFTs
• D-type Conformal Matter and SU/USp Quivers
• Universal Features of BPS Strings in Six-dimensional SCFTs
• Compactifications of 6d $N=(1,0)$ SCFTs with non-trivial Stiefel-Whitney classes
• Discrete Gauging in Six Dimensions
• Magnetic Quivers, Higgs Branches, and 6d N=(1,0) Theories -- Orthogonal and Symplectic Gauge Groups
• (5d RG-flow) Trees in the Tropical Rain Forest
• Rank $Q$ E-string on a torus with flux
• Classification of 5d N=1 gauge theories
• Magnetic Quivers from Brane Webs with O5 Planes
• Fission, Fusion, and 6D RG Flows
• Revisiting the classifications of 6d SCFTs and LSTs
• S-fold magnetic quivers
• On AdS${}_7$ stability
• Flavor Symmetry of 5d SCFTs, Part 2: Applications
• Magnetic Lattices for Orthosymplectic Quivers
• Connecting 5d Higgs Branches via Fayet-Iliopoulos Deformations
• 6d SCFTs, Center-Flavor Symmetries, and Stiefel--Whitney Compactifications
• New N=2 superconformal field theories from S-folds
• From 6d flows to 4d flows
• T-Branes, String Junctions, and 6D SCFTs
• General Prescription for Global U(1)'s in 6D SCFTs
• Flavor Symmetry of 5d SCFTs, Part 1: General Setup
• Fibrations and Hasse diagrams for 6d SCFTs
• Folding Orthosymplectic Quivers
• Balanced B and D-type orthosymplectic quivers -- Magnetic quivers for product theories
• Discrete Gauging in Coulomb branches of Three Dimensional $\mathcal{N}=4$ Supersymmetric Gauge Theories
• Two 6d origins of 4d SCFTs: class $\mathcal{S}$ and 6d (1,0) on a torus
• Back to Heterotic Strings on ALE Spaces: Part I -- Instantons, 2-groups and T-duality
• Magnetic quivers and line defects -- On a duality between 3d N=4 unitary and orthosymplectic quivers
• Hierarchy of RG flows in 6d $(1,0)$ orbi-instantons
• Coulomb Branch Global Symmetry and Quiver Addition
• Distinguishing 6d (1,0) SCFTs: an extension to the geometric construction
• Higgs branch RG-flows via Decay and Fission
• Curious patterns of IR symmetry enhancement
• Probing 7-branes on Orbifolds
• On the torus compactifications of $Z_2$ orbifolds of E-string theories
• Hierarchies of RG flows in 6d $(1,0)$ massive E-strings
• Green-Schwarz Automorphisms and 6D SCFTs
• 3d mirrors of the circle reduction of twisted $A_{2N}$ theories of class $\mathsf{S}$
• The Higgs branch of Heterotic ALE instantons
• Global tensor-matter transitions in F-theory
• A new vista on the Heterotic Moduli Space from Six and Three Dimensions
• 6d/5d exceptional gauge theories from web diagrams
• Non-Geometric Vacua of the $\text{Spin}(32)/{\mathbb{Z}}_2$ Heterotic String and Little String Theories
• Atomic Higgsings of 6D SCFTs
• Atomic Higgsings of 6D SCFTs II: Induced Flows
• D-type Minimal Conformal Matter: Quantum Curves, Elliptic Garnier Systems, and the 5d Descendants
• From Regular to Irregular: A Unified Origin for Argyres-Douglas Theories
• Aspects of 4d supersymmetric dynamics and geometry
• Orbi-Instantons and Class $\mathcal{S}$ Theories of Type D