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abstract

We revisit the duality between ALE singularities in M-theory and 7-branes on a circle in F-theory. We see that a frozen M-theory singularity maps to a circle compactification involving a rotation of the plane transverse to the 7-brane, showing an interesting correspondence between commuting triples in simply-laced groups and Kodaira's classification of singular elliptic fibrations. Our analysis strongly suggests that the O7+ plane is the only completely frozen F-theory singularity.

fields

hep-th 1

years

2026 1

verdicts

ACCEPT 1

representative citing papers

5d Trinions and Tetraons

hep-th · 2026-05-15 · accept · novelty 7.0

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.

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  • 5d Trinions and Tetraons hep-th · 2026-05-15 · accept · none · ref 59 · internal anchor

    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.