Moduli space reconstruction and Weak Gravity

Gendler, Naomi; Heidenreich, Ben; McAllister, Liam; Moritz, Jakob; Rudelius, Tom

Abstract

We present a method to construct the extended Kähler 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 Kähler moduli spaces of all favorable Calabi-Yau threefold hypersurfaces with h1, 1 ≤ 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.

Citation

Gendler, N., Heidenreich, B., McAllister, L., Moritz, J., & Rudelius, T. (2023). Moduli space reconstruction and Weak Gravity. Journal of High Energy Physics, 2023(12), Article 134. https://doi.org/10.1007/jhep12%282023%29134

• Journal Article Type: Article
• Acceptance Date: Nov 27, 2023
• Online Publication Date: Dec 19, 2023
• Publication Date: 2023-12
• Deposit Date: Jan 3, 2024
• Publicly Available Date: Jan 3, 2024
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2023
• Issue: 12
• Article Number: 134
• DOI: https://doi.org/10.1007/jhep12%282023%29134
• Keywords: M-Theory, Black Holes, Superstring Vacua, Differential and Algebraic Geometry
• Public URL: https://durham-repository.worktribe.com/output/2075654