EFT strings and emergence

Abstract

We revisit the Emergence Proposal in 4d $\mathcal{N}=2$ vector multiplet sectors that arise from type II string Calabi--Yau compactifications, with emphasis on the role of axionic fundamental strings, or EFT strings. We focus on large-volume type IIA compactifications, where EFT strings arise from NS5-branes wrapping internal four-cycles, and consider a set of infinite-distance moduli-space limits that can be classified in terms of a scaling weight $w=1,2,3$. It has been shown before how one-loop threshold effects of an infinite tower of BPS particles made up of D2/D0-branes generate the asymptotic behaviour of the gauge kinetic functions along limits with $w=3$. We extend this result to $w=2$ limits, by taking into account D2-brane multi-wrapping numbers. In $w=1$ limits the leading tower involves EFT string oscillations, and one can reproduce the behaviour of both weakly and strongly-coupled $U(1)$'s independently on whether the EFT string is critical or not, by assuming that charged modes dominate the light spectrum.

33 pages + 2 appendices, references and an appendix added

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• On the Origin of Species Thermodynamics and the Black Hole - Tower Correspondence
• Non-minimal Elliptic Threefolds at Infinite Distance I: Log Calabi-Yau Resolutions
• Finiteness and the Emergence of Dualities
• Emergence of $R^4$-terms in M-theory
• (In)stability of de Sitter vacuum in light of distance conjecture and emergence proposal
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Weak gravity at micron scales from dark bubble cosmology and its cosmological consequences