Species scale, worldsheet CFTs and emergent geometry

Abstract

We study infinite-distance limits in the moduli space of perturbative string vacua. The remarkable interplay of string dualities seems to determine a highly non-trivial dichotomy, summarized by the emergent string conjecture, by which in some duality frame either internal dimensions decompactify or a unique critical string becomes tensionless. We investigate whether this pattern persists in potentially non-geometric settings, showing that (a proxy for) the cutoff of the gravitational effective field theory in perturbative type II vacua extracted from a graviton scattering amplitude vanishes if and only if a light tower of states appears. Moreover, under some technical assumptions on the spectrum of conformal weights, the cutoff scales with the spectral gap of the internal conformal field theory in the same manner as in decompactification or emergent string limits, regardless of supersymmetry or whether the internal sector is geometric. As a byproduct, we elucidate the role of the species scale in (de)compactifications and show compatibility between effective field theory and worldsheet approaches in geometric settings with curvature.

41 pages. v2: matches published version

References in corpus (66)

• Phases of $N=2$ Theories In Two Dimensions
• On the Geometry of the String Landscape and the Swampland
• Heat kernel expansion: user's manual
• Distance and de Sitter Conjectures on the Swampland
• A Geometry for Non-Geometric String Backgrounds
• Exact Results for N=2 Compactifications of Heterotic Strings
• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Black Holes and Large N Species Solution to the Hierarchy Problem
• Nongeometric Flux Compactifications
• U-duality and M-Theory
• AdS and the Swampland
• Integrable interpolations: From exact CFTs to non-Abelian T-duals
• Black Hole Bound on the Number of Species and Quantum Gravity at LHC
• One loop in eleven dimensions
• Duality Twists, Orbifolds, and Fluxes
• The EFT-Hedron
• Tensionless Strings and the Weak Gravity Conjecture
• On $R^4$ threshold corrections in IIB string theory and (p,q) string instantons
• D-instantons, Strings and M-theory
• Generalised T-Duality and Non-Geometric Backgrounds
• Two loops in eleven dimensions
• The low energy expansion of the one-loop type II superstring amplitude
• Sphere Partition Functions and the Zamolodchikov Metric
• Low energy expansion of the four-particle genus-one amplitude in type II superstring theory
• Averaging Over Narain Moduli Space
• The Dark Dimension and the Swampland
• Integrable Deformations of Strings on Symmetric Spaces
• Large-N bounds on, and compositeness limit of, gauge and gravitational interactions
• Black Hole Formation and Classicalization in Ultra-Planckian 2 -> N Scattering
• Anomalies, Conformal Manifolds, and Spheres
• Comments on Gepner Models and Type I Vacua in String Theory
• Automorphic properties of low energy string amplitudes in various dimensions
• Where is String Theory?
• Multiple Mirror Manifolds and Topology Change in String Theory
• String theory dualities and supergravity divergences
• On Brillouin Zones
• Eisenstein Series and String Thresholds
• Evaporation of Microscopic Black Holes in String Theory and the Bound on Species
• $R^4$ couplings and automorphic unipotent representations
• Spectra of 4D, N=1 Type I String Vacua on Non-Toroidal CY Threefolds
• Tackling the SDC in AdS with CFTs
• One-Loop BPS amplitudes as BPS-state sums
• Asymmetric Orbifolds, Noncommutative Geometry and Type I String Vacua
• Moduli-dependent Species Scale
• Rademacher Expansions and the Spectrum of 2d CFT
• Asymmetric Orientifolds, Brane Supersymmetry Breaking and Non-BPS Branes
• Discrete torsion in non-geometric orbifolds and their open-string descendants
• Fine Tuning, Sequestering, and the Swampland
• High-dimensional sphere packing and the modular bootstrap
• On Higher-Spin Points and Infinite Distances in Conformal Manifolds
• Minimal Black Holes and Species Thermodynamics
• Shedding black hole light on the emergent string conjecture
• U-duality and D-brane Combinatorics
• Rankin-Selberg methods for closed strings on orbifolds
• Where is M-theory in the space of scattering amplitudes?
• Curvature formula for the space of 2-d conformal field theories
• Vacuum stability, string density of states and the Riemann zeta function
• Geodesic Renormalisation Group Flow
• Calabi's diastasis as interface entropy
• Asymmetric Gepner models in type II
• Non-geometric Calabi-Yau Backgrounds and K3 automorphisms
• Misaligned Supersymmetry and Open Strings
• Emergence of $R^4$-terms in M-theory
• Tachyons and Misaligned Supersymmetry in Closed String Vacua
• Conformal Invariance of (0,2) Sigma Models on Calabi-Yau Manifolds
• Infinite distances in multicritical CFTs and higher-spin holography

Cited by in corpus (9)

• On the Origin of Species Thermodynamics and the Black Hole - Tower Correspondence
• Finiteness and the Emergence of Dualities
• Two Micron-Size Dark Dimensions
• Visions in Quantum Gravity
• Emergent Strings in Type IIB Calabi--Yau Compactifications
• Asymptotic safety, quantum gravity, and the swampland: a conceptual assessment
• Lectures in Quantum Gravity
• Black Hole Entropy, Quantum Corrections and EFT Transitions
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme