The Decay and Fission algorithm for good quivers

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Let QQ be a good 3d N=4\mathcal{N}=4 quiver theory, let MC(Q)\mathcal{M}_C(Q) denote its Coulomb branch, and let L\mathcal{L} be the set of decay and fission products of QQ, ordered by ≽\succcurlyeq. The Decay and Fission algorithm. There exists a 1-to-1 correspondence between the poset of symplectic leaves of MC(Q)\mathcal{M}_C(Q) and the poset (L,≽)(\mathcal{L},\succcurlyeq). This conjectural correspondence would give a combinatorial construction of the Hasse diagram of the Coulomb branch. Its general validity is presented as conjectural in the source.

References

Primary source

Antoine Bourget, Quentin Lamouret, Sinan Moura Soysüren and Marcus Sperling, “Classifying Isolated Symplectic Singularities via 3d N=4 Coulomb Branches”, arXiv:2504.05373 (2026).

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