Taxonomy of Infinite Distance Limits

2024/05/30 by Muldrow Etheredge, Etheredge, Muldrow, Ben Heidenreich +7 · 5 citations
Computer Science · #Data Management and Algorithms #FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.2405.20332

openalex publication_date 2024/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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 (-∇log m) of the light towers and the analogous vector (-∇logΛ_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.

Cited by

• From Frame Covariance to the Swampland Distance Conjecture
• Species Quantum Mechanics
• de Sitter no-go's for Riemann-flat manifolds and a link to semidefinite optimisation
• QM2-branes and the Swampland Distance Conjecture in nine dimensions
• Physics and Geometry of Complex Structure Limits in Type IIB Calabi-Yau Compactifications

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