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Taxonomy of Infinite Distance Limits
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abstract
The Emergent String Conjecture constrains the possible types of light towers in infinite-distance limits in quantum gravity moduli spaces. In this paper, we use these constraints to restrict the geometry of the scalar charge-to-mass vectors $(-\vec{\nabla}\log m)$ of the light towers and the analogous vector $(-\vec{\nabla}\log\Lambda_{\text{QG}})$ of the species scale. We derive taxonomic rules that these vectors must satisfy in each duality frame. Under certain assumptions, this allows us to classify the ways in which different duality frames can fit together globally in the moduli space in terms of a finite list of polytopes. Many of these polytopes arise in known string theory compactifications, while others suggest either undiscovered corners of the landscape or new swampland constraints.
Forward citations
Cited by 9 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 Boundary of Symmetric Moduli Spaces and the Swampland Distance Conjecture
For locally symmetric moduli spaces satisfying a compactifiability constraint, every infinite-distance limit produces an exponentially light tower of states, with decay rates forming the convex hull of the weights of ...
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Co-Scaling and Alignment of Electric and Magnetic Towers
Electric and magnetic BPS towers in 5d supergravity are conjectured to co-scale and align, and a new S-map is conjectured to characterize the magnetic infinity cone of a Calabi-Yau threefold.
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Kaluza-Klein tower thresholds and scheme dependence of the species scale
Leading KK-tower local corrections to four-derivative gravity are regulator-dependent EFT matching data, while log N terms are universal within proper-time cutoffs, so species-scale definitions match only parametrically.
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Moduli-Space Laplacians, Asymptotic Geometry, and the Emergent String Conjecture
Under the Emergent String Conjecture, the logarithm of any principal tower mass has a moduli-space Laplacian eigenvalue quantized to N/(D-d) for KK towers and N/2 for string oscillators, equal to the instanton-weighte...
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Stochastic Survival near Swampland Boundaries
Surviving inflationary histories develop a universal inward drift near any hard swampland boundary — two times the diffusion over the distance to the edge — regardless of the cutoff's microscopic origin.
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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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Moduli Space Quantum Mechanics
Moduli-space geometry induces effective potentials that localize excited quantum wavefunctions in the bulk with positive energies, even for classically runaway potentials.
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