Abstract
We revisit the Emergence Proposal in the vector multiplet moduli space of type IIA N = 2 supersymmetric string vacua in four dimensions, for which the string tree-level prepotential and the string one-loop correction are exactly known via mirror symmetry. We argue that there exists an exact notion of emergence, according to which these four-dimensional couplings can be computed exactly in any asymptotic limit in field space. In such limits, a perturbative quantum gravity theory emerges, whose fundamental degrees of freedom include all complete infinite towers of states with typical mass scale not larger than the species scale. For a decompactification limit, this picture is closely related to and in fact motivated by the computation of Gopakumar-Vafa invariants. In addition, in the same limit our results suggest that the emergent theory will also contain asymptotically tensionless wrapped NS5-branes.
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Acknowledgments
We are grateful to C. Fierro Cota, T. Grimm, E. Palti, I. Valenzuela and T. Weigand for discussions. The work of R.B. and A.G. is funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy – EXC-2094 – 390783311. The work of N.C. is supported by the Alexander-von-Humboldt foundation.
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Blumenhagen, R., Cribiori, N., Gligovic, A. et al. Demystifying the Emergence Proposal. J. High Energ. Phys. 2024, 53 (2024). https://doi.org/10.1007/JHEP04(2024)053
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DOI: https://doi.org/10.1007/JHEP04(2024)053