The Refined Swampland Distance Conjecture in Calabi-Yau Moduli Spaces

Abstract

The Swampland Distance Conjecture claims that effective theories derived from a consistent theory of quantum gravity only have a finite range of validity. This will imply drastic consequences for string theory model building. The refined version of this conjecture says that this range is of the order of the naturally built in scale, namely the Planck scale. It is investigated whether the Refined Swampland Distance Conjecture is consistent with proper field distances arising in the well understood moduli spaces of Calabi-Yau compactification. Investigating in particular the non-geometric phases of Kahler moduli spaces of dimension $h^{11}\in \{1,2,101\}$, we always found proper field distances that are smaller than the Planck-length.

71 pages, 11 figures, v2: refs added, typos corrected

References in corpus (38)

• Axions In String Theory
• The String Landscape, Black Holes and Gravity as the Weakest Force
• On the Geometry of the String Landscape and the Swampland
• Completing Natural Inflation
• N-flation
• Mirror Symmetry, Mirror Map and Applications to Calabi-Yau Hypersurfaces
• A Natural Framework for Chaotic Inflation
• Mirror Symmetry for Two Parameter Models -- II
• Summing the Instantons: Quantum Cohomology and Mirror Symmetry in Toric Varieties
• Partition functions of N=(2,2) gauge theories on S^2 and vortices
• Exact Results in D=2 Supersymmetric Gauge Theories
• Mirror Symmetry for Two Parameter Models -- I
• Super-Planckian Spatial Field Variations and Quantum Gravity
• Mirror Symmetry, Mirror Map and Applications to Complete Intersection Calabi-Yau Spaces
• Transplanckian axions !?
• PALP: A Package for Analyzing Lattice Polytopes with Applications to Toric Geometry
• F-term Axion Monodromy Inflation
• Backreacted Axion Field Ranges in String Theory
• D7-Brane Chaotic Inflation
• Towards Universal Axion Inflation and Reheating in String Theory
• Considerations of One-Modulus Calabi-Yau Compactifications: Picard-Fuchs Equations, Kähler Potentials and Mirror Maps
• Exact Kahler Potential from Gauge Theory and Mirror Symmetry
• The Swampland Conjecture and F-term Axion Monodromy Inflation
• On the Possibility of Large Axion Moduli Spaces
• A Flux-Scaling Scenario for High-Scale Moduli Stabilization in String Theory
• Periods and Duality Symmetries in Calabi-Yau Compactifications
• Backreaction Issues in Axion Monodromy and Minkowski 4-forms
• A Geometrical Upper Bound on the Inflaton Range
• The Challenge of Realizing F-term Axion Monodromy Inflation in String Theory
• Flat Monodromies and a Moduli Space Size Conjecture
• Periods for Calabi--Yau and Landau--Ginzburg Vacua
• Towards Axionic Starobinsky-like Inflation in String Theory
• Higgs-otic Inflation and Moduli Stabilization
• Dual Pairs of Gauged Linear Sigma Models and Derived Equivalences of Calabi-Yau threefolds
• Minimum Distances in Non-Trivial String Target Spaces
• A new approach for computing the geometry of the moduli spaces for a Calabi-Yau manifold
• Special geometry on the moduli space for the two-moduli non-Fermat Calabi-Yau
• Special geometry on the 101 dimesional moduli space of the quintic threefold

Cited by in corpus (71)

• The Swampland: Introduction and Review
• Infinite Distances in Field Space and Massless Towers of States
• Tensionless Strings and the Weak Gravity Conjecture
• Infinite Distance Networks in Field Space and Charge Orbits
• The Swampland Distance Conjecture for Kahler moduli
• A note on Inflation and the Swampland
• The web of swampland conjectures and the TCC bound
• Merging the Weak Gravity and Distance Conjectures Using BPS Extremal Black Holes
• Asymptotic Flux Compactifications and the Swampland
• Instantons and infinite distances
• The Swampland Distance Conjecture and Towers of Tensionless Branes
• Modular Fluxes, Elliptic Genera, and Weak Gravity Conjectures in Four Dimensions
• Feynman Integrals in Dimensional Regularization and Extensions of Calabi-Yau Motives
• Swampland Distance Conjecture, Inflation and $\alpha$-attractors
• Swampland Variations on a Theme by KKLT
• The asymptotic dS Swampland Conjecture - a simplified derivation and a potential loophole
• Swampland Distance Conjecture for One-Parameter Calabi-Yau Threefolds
• Sharpening the Distance Conjecture in Diverse Dimensions
• Instanton Corrections and Emergent Strings
• Clockwork Axions in Cosmology: Is Chromonatural Inflation Chrononatural?
• Tackling the SDC in AdS with CFTs
• The Convex Hull Swampland Distance Conjecture and Bounds on Non-geodesics
• Modular Symmetries and the Swampland Conjectures
• Weakly Coupled de Sitter Vacua with Fluxes and the Swampland
• A Strong Scalar Weak Gravity Conjecture and Some Implications
• Quintessence and the Swampland: The parametrically controlled regime of moduli space
• Weak Gravity Bounds in Asymptotic String Compactifications
• The trans-Planckian censorship conjecture from the swampland distance conjecture
• Mass Hierarchies and Dynamical Field Range
• Infinite Distances and the Axion Weak Gravity Conjecture
• Asymptotic Scalar Field Cosmology in String Theory
• Small Flux Superpotentials for Type IIB Flux Vacua Close to a Conifold
• Asymptotic Observables and the Swampland
• Quantum aspects of chaos and complexity from bouncing cosmology: A study with two-mode single field squeezed state formalism
• Refined swampland distance conjecture and exotic hybrid Calabi-Yaus
• What does Inflation say about Dark Energy given the Swampland Conjectures?
• Swampland, Gradient Flow and Infinite Distance
• On TCS $G_2$ manifolds and 4D Emergent Strings
• Membrane Limits in Quantum Gravity
• Bulk Reconstruction in Moduli Space Holography
• Relating the scalar weak gravity conjecture and the swampland distance conjecture for an accelerating universe
• Large Field Ranges from Aligned and Misaligned Winding
• de Sitter Space as a Glauber-Sudarshan State
• Elliptic K3 Surfaces at Infinite Complex Structure and their Refined Kulikov models
• On de Sitter Spacetime and String Theory
• Laplacian spectrum on a nilmanifold, truncations and effective theories
• Moduli-dependent KK towers and the swampland distance conjecture on the quintic Calabi-Yau manifold
• Role of trans-Planckian modes in cosmology
• Rigid nongeometric orientifolds and the swampland
• Swampland Conjectures and Infinite Flop Chains
• $T$-dualizing the de-Sitter no-go scenarios
• Quasi-Jacobi Forms, Elliptic Genera and Strings in Four Dimensions
• Calabi-Yau CFTs and Random Matrices
• Finiteness and the Emergence of Dualities
• Non-minimal Elliptic Threefolds at Infinite Distance II: Asymptotic Physics
• Modular Curves and the Refined Distance Conjecture
• Conifold dynamics and axion monodromies
• A stringy perspective on the coincidence problem
• Exact computation of the Special geometry for Calabi-Yau hypersurfaces of Fermat type
• On stable type IIA de-Sitter vacua with geometric flux
• Analytic Periods via Twisted Symmetric Squares
• A CFT Distance Conjecture
• Inflating in perturbative LVS: Global Embedding and Robustness
• Consistency of Cubic Galileon Cosmology: Model-Independent Bounds from Background Expansion and Perturbative Analyses
• Infinite distances in multicritical CFTs and higher-spin holography
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Non-closed scalar charge in four-dimensional Einstein-scalar-Gauss-Bonnet black hole thermodynamics
• Assisted Fibre Inflation in Perturbative LVS
• Stability of BPS States and Weak Coupling Limits
• State counting on fibered CY-3 folds and the non-Abelian Weak Gravity Conjecture
• Systematic exploration of the non-geometric flux landscape