Abstract
We explore the Emergence Proposal for the moduli metric and the gauge couplings in a concrete model with 7 saxionic and 7 axionic moduli fields, namely the compactification of the type IIA superstring on a 6-dimensional toroidal orbifold. We show that consistency requires integrating out precisely the 12 towers of light particle species arising from KK and string/brane winding modes and one asymptotically tensionless string up to the species scale. After pointing out an issue with the correct definition of the species scale in the presence of string towers, we carry out the emergence computation and find that the KK and winding modes indeed impose the classical moduli dependence on the one-loop corrections, while the emergent string induces moduli dependent logarithmic suppressions. The interpretation of these results for the Emergence Proposal are discussed revealing a couple of new and still not completely settled aspects.
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Acknowledgments
We would like to thank Niccolò Cribiori, Christian Kneißl and Andriana Makridou for discussions and Max Wiesner for sharing his insights about the species scale of string towers with us. 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.
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Blumenhagen, R., Gligovic, A. & Paraskevopoulou, A. The emergence proposal and the emergent string. J. High Energ. Phys. 2023, 145 (2023). https://doi.org/10.1007/JHEP10(2023)145
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DOI: https://doi.org/10.1007/JHEP10(2023)145