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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

Antoine Bourget , Julius F. Grimminger This is my paper · ORCID
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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  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.

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