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Fibrations and Hasse diagrams for 6d SCFTs

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arxiv 2209.15016 v2 pith:D6CIWRSU submitted 2022-09-29 hep-th

classification hep-th
keywords discretescftsarxivbranchgaugingisolatedsingularitiessymplectic
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abstract

We study the full moduli space of vacua of 6d worldvolume SCFTs on M5 branes probing an $A$-type singularity, focusing on the geometric incarnation of the discrete gauging mechanism which acts as a discrete quotient on the Higgs branch fibered over the tensor branch. We combine insights from brane constructions and magnetic quiver techniques, in which discrete gauging is implemented through the concept of decoration introduced in [arXiv:2202.01218]. We discover and characterize new transverse slices between phases of 6d SCFTs, identifying some of them with a family of isolated symplectic singularities recently discovered in [arXiv:2112.15494], and conjecturing the existence of two new isolated symplectic singularities.

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Cited by 3 Pith papers

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  1. Lusztig's special pieces conjecture

    math.RT 2026-07 conditional novelty 8.0 of 10

    Proof of Lusztig's special pieces conjecture: every special nilpotent piece is a quotient of a smooth G-variety by a finite group, with an explicit orbit-closure construction and non-uniqueness of the solution.

  2. Classification of Minimal Abelian Coulomb Branches

    hep-th 2024-12 conditional novelty 7.0 of 10

    Abelian 3d N=4 quivers with isolated Coulomb branch singularities are exactly stable chains and well-defined cycles, with geometries given by U(1) or finite cyclic quotients.

  3. Atomic Higgsings of 6D SCFTs II: Induced Flows

    hep-th 2025-01 conditional novelty 6.0 of 10

    For 6d SCFTs, atomic endpoint-changing Higgsings (induced flows) are identified with induced nilpotent orbits, and an analogous induction of discrete E8 homomorphisms is physically defined for orbi-instanton theories.

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