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).
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Acknowledgments
It is a pleasure to thank Jonathan Heckman, Ben Heidenreich, and Andrew Turner for useful discussions, Matthew Reece for comments on a draft of this paper, and Timo Weigand and Cesar Fierro Cota for insightful remarks on a preprint of this paper. The author is also indebted to Lara B. Anderson, Xin Gao, James Gray, and Seung-Joo Lee; Albrecht Klemm and Maximilian Kreuzer; Federico Carta, Alessandro Mininno, Nicole Righi, and Alexander Westphal; Philip Candelas, A.M. Dale, Carsten Andrew Lütken, and Rolf Schimmrigk for their publicly available CICY databases and Mathematica notebooks, which played the starring role in the numerical sweep performed in this work. This work was supported in part by STFC through grant ST/T000708/1, the Berkeley Center for Theoretical Physics; by the Department of Energy, Office of Science, Office of High Energy Physics under QuantISED Award DE-SC0019380 and under contract DE-AC02-05CH11231; and by the National Science Foundation under Award Number 2112880.
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Rudelius, T. Gopakumar-Vafa invariants and the Emergent String Conjecture. J. High Energ. Phys. 2024, 61 (2024). https://doi.org/10.1007/JHEP03(2024)061
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DOI: https://doi.org/10.1007/JHEP03(2024)061