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Moduli Space Reconstruction and Weak Gravity

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arxiv 2212.10573 v2 pith:7T3LRTA4 submitted 2022-12-20 hep-th

Naomi Gendler , Ben Heidenreich , Liam McAllister , Jakob Moritz , Tom Rudelius This is my paper
classification hep-th
keywords ahlercalabi-yaugopakumar-vafagravityinvariantsmoduliphasessatisfy
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abstract

We present a method to construct the extended K\"ahler cone of any Calabi-Yau threefold by using Gopakumar-Vafa invariants to identify all geometric phases that are related by flops or Weyl reflections. In this way we obtain the K\"ahler moduli spaces of all favorable Calabi-Yau threefold hypersurfaces with $h^{1,1} \le 4$, including toric and non-toric phases. In this setting we perform an explicit test of the Weak Gravity Conjecture by using the Gopakumar-Vafa invariants to count BPS states. All of our examples satisfy the tower/sublattice WGC, and in fact they even satisfy the stronger lattice WGC.

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Cited by 3 Pith papers

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  1. Calabi-Yau Threefolds from Vex Triangulations

    hep-th 2025-12 conditional novelty 7.0 of 10

    All fine regular triangulations of 4D reflexive polytopes—including non-FRST vex triangulations—yield smooth, birationally equivalent Calabi-Yau threefold hypersurfaces.

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    hep-th 2025-10 conditional novelty 7.0 of 10

    The conjectured Jacobi modularity of topological string amplitudes on torus-fibered Calabi-Yau threefolds is derived conditionally from the wave-function property under the relative conifold monodromy, which also maps...

  3. Universality in the Axiverse

    hep-th 2025-07 conditional novelty 6.0 of 10

    Normalized divisor volumes in toric Calabi-Yau threefolds appear universal, and a GOE level-spacing model with a fitted mean reproduces axion statistics across the Kreuzer-Skarke axiverse.

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