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The Hasse Diagram of the Moduli Space of Instantons

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arxiv 2202.01218 v1 pith:5EZZVFLJ submitted 2022-02-02 hep-th

Antoine Bourget , Julius F. Grimminger , Amihay Hanany , Zhenghao Zhong This is my paper · ORCID
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keywords modulihassespacebeendealdevelopeddiagramdiagrams
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Hasse diagrams (or phase diagrams) for moduli spaces of supersymmetric field theories have been intensively studied in recent years, and many tools to compute them have been developed. The moduli space of instantons, despite being well studied, has proven difficult to deal with. In this note we explore the Hasse diagram of this moduli space from several perspectives -- using the partial Higgs mechanism, using brane systems and using quiver subtraction -- having to refine previously developed techniques. In particular we introduce the new concept of decorated quiver, which allows to deal with a large class of unitary quivers, including those with adjoint matter.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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. A Pathway to Decay and Fission of Orthosymplectic Quiver Theories

    hep-th 2024-12 conditional novelty 6.0 of 10

    An orthosymplectic extension of the Decay and Fission algorithm is proposed, validated on class S and 6d orbi-instanton quivers, and used to predict new Higgs branch RG flows.

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