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arXiv · 2212.10573

Moduli Space Reconstruction and Weak Gravity

Naomi Gendler·Ben Heidenreich·Liam McAllister·Jakob Moritz·Tom Rudelius
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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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Naomi Gendler, Ben Heidenreich, Liam McAllister, Jakob Moritz, Tom Rudelius. 2022-12-20. Moduli Space Reconstruction and Weak Gravity. https://doi.org/10.1007/jhep12(2023)134

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