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EFT strings and emergence
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abstract
We revisit the Emergence Proposal in 4d ${\cal N}=2$ 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.
Forward citations
Cited by 7 Pith papers
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Integral Scaling for EFT Strings from the Bottom-Up
Under brane-taxonomy axioms and an n_e≤7 homogeneity bound, integral scaling with w≤3 is an exhaustive finite consequence for all EFT string candidates in 4d N=1 moduli slices.
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EFT (String) Tower Building
Assuming the Integral Scaling Relation and the Emergent String Conjecture, the Kähler potential fixes the UV tower spectrum, and every admissible degree-≤7 tower polytope is a slice of the M-theory G2 polytope.
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The Double EFT Expansion in Quantum Gravity
Quantum gravity EFT actions organize higher-curvature corrections into a field-theoretic expansion suppressed by the lightest new mass and a quantum-gravitational expansion suppressed by the species scale.
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Asymptotics of 5d Supergravity Theories and the Emergent String Conjecture
All infinite distance limits in 5d N=1 supergravity vector moduli space are either unique-vector limits (6d decompactification) or unique-tensor limits (emergent string), under a weak BPS completeness assumption.
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Classical Black Hole Probes of UV Scales
Minimal classical BPS black holes in string compactifications track the species or KK scale in infinite-distance limits, and violations may signal inconsistent EFTs.
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Relative Quantum Gravity: Localized Gravity and the Swampland
Localized gravity theories can violate swampland constraints, but satisfy them when defined relative to a higher-dimensional gravity completion, dubbed relative quantum gravity.
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Finiteness and the Emergence of Dualities
Finiteness of quantum gravity amplitudes implies moduli spaces have at most Euclidean volume growth, which in turn implies duality groups act semisimply on charge lattices.
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