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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

classification hep-th
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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  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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