Dynamical complex structure deformations of non-compact Calabi-Yau threefolds with non-isolated singularities reproduce the full Higgs branch stratification of 5d SCFTs, matching magnetic quiver predictions.
From Quivers to Geometry: 5d Conformal Matter
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abstract
We show that all 5d balanced (ADE-shaped) special unitary quivers with no Chern-Simons level admit a UV completion which is a 5d conformal matter SCFT. We give explicit local Calabi-Yau threefolds realizing each of these models in M-theory. This unified description enables a systematic exploration of their physical properties, such as their Higgs Branch, as well as connections to class-S constructions and the affine Grassmannian.
fields
hep-th 2years
2026 2representative citing papers
The authors construct 5d SCFT trinions and tetraons with D flavor symmetry via M-theory, producing non-linear quivers with instanton symmetry enhancement and ruling out E-type cases.
citing papers explorer
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5d Higgs Branches: Stratifications from Geometry
Dynamical complex structure deformations of non-compact Calabi-Yau threefolds with non-isolated singularities reproduce the full Higgs branch stratification of 5d SCFTs, matching magnetic quiver predictions.
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5d Trinions and Tetraons
The authors construct 5d SCFT trinions and tetraons with D flavor symmetry via M-theory, producing non-linear quivers with instanton symmetry enhancement and ruling out E-type cases.