Gopakumar-Vafa invariants and the Emergent String Conjecture

Rudelius, Tom

Abstract

The Emergent String Conjecture of Lee, Lerche, and Weigand holds that every infinite-distance limit in the moduli space of a quantum gravity represents either a decompactification limit or an emergent string limit in some duality frame. Within the context of 5d supergravities coming from M-theory compactifications on Calabi-Yau threefolds, we find evidence for this conjecture by studying (a) the gauge couplings and (b) the BPS spectrum, which is encoded in the Gopakumar-Vafa invariants of the threefold. In the process, we disuss a testable geometric consequence of the Emergent String Conjecture, and we verify that it is satisfied in all complete intersection Calabi-Yau threefolds in products of projective spaces (CICYs).

Citation

Rudelius, T. (2024). Gopakumar-Vafa invariants and the Emergent String Conjecture. Journal of High Energy Physics, 2024(3), Article 61. https://doi.org/10.1007/jhep03%282024%29061

• Journal Article Type: Article
• Acceptance Date: Feb 18, 2024
• Online Publication Date: Mar 12, 2024
• Publication Date: Mar 12, 2024
• Deposit Date: May 21, 2024
• Publicly Available Date: May 21, 2024
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2024
• Issue: 3
• Article Number: 61
• DOI: https://doi.org/10.1007/jhep03%282024%29061
• Public URL: https://durham-repository.worktribe.com/output/2330486