Gopakumar-Vafa Invariants and the Emergent String Conjecture
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).
Cite
@article{arxiv.2309.10024,
title = {Gopakumar-Vafa Invariants and the Emergent String Conjecture},
author = {Tom Rudelius},
journal= {arXiv preprint arXiv:2309.10024},
year = {2024}
}
Comments
v2: 20 pages, 1 figure, matches publication version