Instantons and infinite distances

Abstract

We consider geodesics of infinite length and constant 4d dilaton in the (classical) hypermultiplet moduli space of type II Calabi-Yau compactifications. When approaching such infinite distance points, a large amount of D-instantons develop an exponentially suppressed action, substantially modifying the moduli space metric. We consider a particular large volume/strong coupling trajectory for which, in the corrected metric, the path length becomes finite. The instanton effects also modify the cllassical 4d dilaton such that, in order to keep the 4d Planck mass finite, the string scale has to be lowered. Our results can be related, via the c-map, to the physics around points of infinite distance in the vector multiplet moduli space where the Swampland Distance Conjecture and the Emergence Proposal have been discussed, and provide further evidence for them.

49 pages, improved discussion on the dual D-particle picture, typos corrected and references added

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Cited by in corpus (42)

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• The Weak Gravity Conjecture: A Review
• The web of swampland conjectures and the TCC bound
• Merging the Weak Gravity and Distance Conjectures Using BPS Extremal Black Holes
• Asymptotic Flux Compactifications and the Swampland
• Swampland Conjectures for Strings and Membranes
• Festina Lente: EFT Constraints from Charged Black Hole Evaporation in de Sitter
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• Instanton Corrections and Emergent Strings
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• A Gravitino Distance Conjecture
• EFT strings and emergence
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• Asymptotic Accelerated Expansion in String Theory and the Swampland
• Infinite Distances and the Axion Weak Gravity Conjecture
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• Swampland, Gradient Flow and Infinite Distance
• On TCS $G_2$ manifolds and 4D Emergent Strings
• Bulk Reconstruction in Moduli Space Holography
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• Tameness, Strings, and the Distance Conjecture
• On de Sitter Spacetime and String Theory
• 4d strings at strong coupling
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• Finiteness and the Emergence of Dualities
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• A CFT Distance Conjecture
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