$E_8$ 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.

38 pages

References in corpus (8)

• 6d Conformal Matter
• Webs of five-branes and N=2 superconformal field theories
• Mirrors of 3d Sicilian theories
• Tinkertoys for Gaiotto Duality
• Coulomb Branch and The Moduli Space of Instantons
• Anomaly polynomial of E-string theories
• 6d, N=(1,0) Coulomb Branch Anomaly Matching
• Coulomb branch Hilbert series and Three Dimensional Sicilian Theories

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