Abstract
We study limits of infinite distance in the moduli space of 4d \( \mathcal{N} \) = 2 string compactifications, in which instanton effects dominate. We first consider trajectories in the hypermultiplet moduli space of type IIB Calabi-Yau compactifications. We observe a correspondence between towers of D-brane instantons and D-brane 4d strings, such that the lighter the string the more relevant the instanton effects are. The dominant instantons modify the classical trajectory such that the lightest D-brane string becomes tensionless even faster, while the other strings are prevented to go below the fundamental string tension. This lightest string is dual to a fundamental type IIB string and realises the Emergent String Conjecture. We also consider the vector multiplet moduli space of type I string theory on K3 ×T2, where quantum corrections can also become significant. Naively, we only find trajectories that correspond to decompactification limits, in apparent contradiction with the picture obtained in some dual setup.
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Baume, F., Marchesano, F. & Wiesner, M. Instanton corrections and Emergent Strings. J. High Energ. Phys. 2020, 174 (2020). https://doi.org/10.1007/JHEP04(2020)174
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DOI: https://doi.org/10.1007/JHEP04(2020)174