Tinkertoys for the Z3-twisted D4 Theory

Abstract

Among the simple Lie algebras, $D_4$ is distinguished as the unique one whose group of outer-automorphisms is bigger than ${\mathbb{Z}}_2$. We study the compactifications of the $D_4$ (2,0) Theory on a punctured Riemann surface, $C$, with outer-automorphism twists around cycles of $C$ lying in ${\mathbb{Z}}_3\subset \text{Aut}(D_4)=S_3$. The resulting 4D $\mathcal{N}=2$ SCFTs have a number of new and interesting properties. As byproduct, we discover a new rank-1 $\mathcal{N}=2$ SCFT with flavour symmetry group $SU(4)$.

arXiv comment28 pages, 71 figures

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Cited by in corpus (12)

• Geometric constraints on the space of N=2 SCFTs I: physical constraints on relevant deformations
• Compactification of 6d minimal SCFTs on Riemann surfaces
• Codimension-two defects and Argyres-Douglas theories from outer-automorphism twist in 6d $(2,0)$ theories
• A review of the T_N theory and its cousins
• Tinkertoys for the Z3-twisted D4 Theory
• Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated
• Geometric constraints on the space of N=2 SCFTs III: enhanced Coulomb branches and central charges
• The Singularity Structure of Scale-Invariant Rank-2 Coulomb Branches
• Geometric constraints on the space of N=2 SCFTs II: Construction of special Kähler geometries and RG flows
• Compactifications of 5d SCFTs with a twist
• Expanding the landscape of $\mathcal{N}$=2 rank 1 SCFTs
• The ABCDEFG of Little Strings