On the Geometry of the String Landscape and the Swampland

Abstract

We make a number of conjectures about the geometry of continuous moduli parameterizing the string landscape. In particular we conjecture that such moduli are always given by expectation value of scalar fields and that moduli spaces with finite non-zero diameter belong to the swampland. We also conjecture that points at infinity in a moduli space correspond to points where an infinite tower of massless states appear, and that near these regions the moduli space is negatively curved. We also propose that there is no non-trivial 1-cycle of minimum length in the moduli space. This leads in particular to the prediction of the existence of a radially massive partner to the axion. These conjectures put strong constraints on inflaton potentials that can appear in a consistent quantum theory of gravity. Our conjectures are supported by a number of highly non-trivial examples from string theory. Moreover it is shown that these conditions can be violated if gravity is decoupled.

arXiv comment18 pages

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• Dilatonic (Anti-)de Sitter Black Holes and Weak Gravity Conjecture
• Metastable Vacua in Perturbed Seiberg-Witten Theories
• Probing the Dark Dimension with Auger data
• Light Strings and Strong Coupling in F-theory
• Holographic Consistency and the Sign of the Gauss-Bonnet Parameter
• Classifying the non-time-local and entangling dynamics of an open qubit system
• Leaps and bounds towards scale separation
• Modular Inflation at Higher Level $N$
• Conifold dynamics and axion monodromies
• Harmonic Hybrid Inflation
• Visions in Quantum Gravity
• Inflation as an Information Bottleneck - A strategy for identifying universality classes and making robust predictions
• Unifying the 6D $\mathcal{N}=(1,1)$ String Landscape
• Dark Energy, Dark Matter and Baryogenesis from a Model of a Complex Axion Field
• Weak Gravity Conjecture with Large Extra Dimensions
• Swampland Criteria and Constraints on Inflation in a $f(R,T)$ Gravity Theory
• String-Inspired Running Vacuum, the "Vacuumon", and the Swampland Criteria
• Contracting Cosmologies and the Swampland
• On stable type IIA de-Sitter vacua with geometric flux
• Swampland geometry and the gauge couplings
• De Sitter Quantum Breaking, Swampland Conjectures and Thermal Strings
• A model of dark matter dark energy interaction with some cosmic consequences
• Thermal, Trapped and Chromo-Natural Inflation in light of the Swampland Criteria and the Trans-Planckian Censorship Conjecture
• Quantum Discrete Levels of the Universe from the Early Trans-Planckian Vacuum to the Late Dark Energy
• Unitarity Problems for an Effective Field Theory Description of Early Universe Cosmology
• Is asymptotically safe inflation eternal?
• A Note on the dS Swampland Conjecture, Non-BPS branes and K-theory
• Bulk Black Hole Dark Matter
• Analytic Periods via Twisted Symmetric Squares
• The Fate of Discrete 1-Form Symmetries in 6d
• Emergent Strings in Type IIB Calabi--Yau Compactifications
• Superluminal Travel Made Possible (in two dimensions)
• A CFT Distance Conjecture
• (In)stability of de Sitter vacuum in light of distance conjecture and emergence proposal
• Gravitational Positivity for Phenomenologists: Dark Gauge Boson in the Swampland
• Cosmological Consequences of Domain Walls Biased by Quantum Gravity
• Inflating in perturbative LVS: Global Embedding and Robustness
• Supercritical String Cosmology drains the Swampland
• Seeking de-Sitter Vacua in the String Landscape
• Geometric structure of multi-form-field isotropic inflation and primordial fluctuations
• A non-local way around the no-global-symmetries conjecture in quantum gravity?
• Ultraviolet Sensitivity in Higgs-Starobinsky Inflation
• Black Holes and the Swampland: the Deep Throat revelations
• Single field slow-roll effective potential from Kähler moduli stabilizations in type IIB/F-theory
• The robustness of slow contraction and the shape of the scalar field potential
• Probing the origin of our Universe through cosmic microwave background constraints on gravitational waves
• Features of a dark energy model in string theory
• String Gases and the Swampland
• Large and small field inflation from hyperbolic sigma models
• The Coincidence Problem and the Swampland Conjectures in the Ijjas-Steinhardt Cyclic Model of the Universe
• Expanding Universe and Dynamical Compactification Using Yang-Mills Instantons
• Dark Dimension and the Effective Field Theory limit
• On Quantum Simulation Of Cosmic Inflation
• Compact objects and the swampland
• Dark energy with the help of interacting dark sectors
• Geometric Flow of Bubbles
• A Note on Membrane Interactions and the Scalar potential
• Phases of Inflation
• Some No-go Theorems for String Duals of Non-relativistic Lifshitz-like Theories
• Asymptotic safety, quantum gravity, and the swampland: a conceptual assessment
• Non-Abelian Magnetized Blackholes and Unstable Attractors
• Flavor, CP and Metaplectic Modular Symmetries in Type IIB Chiral Flux Vacua
• Nonassociative Ricci flows, star product and R-flux deformed black holes, and swampland conjectures
• Swampland Constraints on No-Boundary Quantum Cosmology
• The Gravitino Swampland Conjecture
• The Swampland at Large Number of Space-Time Dimensions
• Towards Refining the Topological Strings on Compact Calabi-Yau 3-folds
• Eternal inflation in light of Wheeler-DeWitt equation
• Consistency of Cubic Galileon Cosmology: Model-Independent Bounds from Background Expansion and Perturbative Analyses
• Constraints on Dark Energy Models from Weak Gravity Conjecture
• de Sitter Complementarity, TCC, and the Swampland
• Constraints on cosmological parameters in light of the scalar-tensor theory of gravity and swampland conjectures
• Asymptotic Weak Gravity Conjecture in M-theory on K3 $\times$ K3
• Forays into the dark side of the swamp
• S-dual Inflation and the String Swampland
• Swampland Conjectures for an Almost Topological Gravity Theory
• Limitations of an Effective Field Theory Treatment of Early Universe Cosmology
• The infrared behavior of tame two-field cosmological models
• Affine Algebras at Infinite Distance Limits in the Heterotic String
• Asymptotic bound on slow-roll parameter in stringy quintessence model
• Constraints on Standard Model Constructions in F-theory
• Notes on the Quantum Corrections of Swampland and Trans-Planckian Censorship Conjecture
• Universal thermodynamic extremality relations for charged AdS black hole surrounded by quintessence
• Implication of the swampland distance conjecture on the Cohen-Kaplan-Nelson bound in de Sitter space
• Level Crossings, Attractor Points and Complex Multiplication
• Effective geometrodynamics for renormalization-group improved black-hole spacetimes in spherical symmetry
• Do we live in an eigenstate of the "fundamental constants" operators?
• On genus one fibered Calabi-Yau threefolds with 5-sections
• A Q-Continuum of Off-Shell Supermultiplets
• Causal Modifications of Gravity and Their Observational Bounds
• Infinite distances in multicritical CFTs and higher-spin holography
• The Swampland Spectrum Conjecture in Inflation
• On the Generality and Persistence of Cosmological Stasis
• An Introduction to the Weak Gravity Conjecture
• $\alpha$-attractors from supersymmetry breaking
• Catalytic Creation of Bubble Universe Induced by Quintessence in Five Dimensions
• Swampland conjectures and single field inflation in non-standard cosmological scenarios
• Interplay between Swampland and Bayesian Machine Learning in constraining cosmological models
• dS Spaces and Brane Worlds in Exotic String Theories
• Covariant Quantization of the Partially Massless Graviton Field in de Sitter Spacetime
• A Note on the Swampland Distance Conjecture
• Black bounces and remnants in dilaton gravity
• Learning BPS Spectra and the Gap Conjecture
• QCD, Flavor, and the de Sitter Swampland
• Axion species scale and axion weak gravity conjecture-like bound
• Consistency conditions for O-plane unsmearing from second-order perturbation theory
• Geometric flow equations for the number of space-time dimensions
• Lectures in Quantum Gravity
• From Swampland to Phenomenology and Back
• EFT & Species Scale: Friends or foes?
• Gauge symmetry breaking with fluxes and natural Standard Model structure from exceptional GUTs in F-theory
• Dynamical renormalization and universality in classical multifield cosmological models
• A Bouncing Cosmology from VECROs
• Breathing Comoving Hubble: Initial Condition and Eternity in view of the trans-Planckian Censorship Conjecture
• Radiative stability of tiny cosmological constant from the Swampland and quantized compactification
• Large U(1) charges from flux breaking in 4D F-theory models
• Axion Monodromy Inflation, Trapping Mechanisms and the Swampland
• Large Field Excursions from Dimensional (De)construction
• Novel modulus stabilization mechanism in higher dimensional f(R) Gravity
• A topological approach for emerging D-branes and its implications for gravity
• Holographic (Eternal) Inflation
• All $2D$ generalised dilaton theories from $d\ge 4$ gravities
• Fluctuating Ensemble Averages and the BTZ Threshold
• The Stringy Origins of Galileons and their Novel Limit
• Inflationary Cosmology with Quantum Gravitational Effects and the Swampland Conjectures
• Uplift and towers of states in warped throat
• Warm Inflation with Barrow Holographic Dark Energy
• The de Sitter swampland conjectures in the context of Chaplygin-inspired inflation
• Strong Dynamics and Natural Inflation
• Quantum-Ordering Ambiguities in Weak Chern-Simons 4D Gravity and Metastability of the Condensate-Induced Inflation
• Non-Minimal M-flation
• On the limitations of non-geometric fluxes to realize dS vacua
• $\frac{1}{2}$ Calabi-Yau 3-folds, Calabi-Yau 3-folds as double covers, and F-theory with U(1)s
• Helical phase inflation and its observational constraints
• Generalizing the Swampland: Embedding $P(X,\phi )$ Inflationary Theories in a Curved Multi-field Space
• 4D dS vacua from AdS vacua of type IIB string theory and AdS distance conjecture
• Populating the swampland: the case of U(1)^496 and E_8 x U(1)^248
• On primordial universe in anti-de Sitter landscape
• Axion mass and quantum information
• Metastable vacua from torsion and machine learning
• Effective field theory in light of relative entropy
• Cosmic-Quantum Connections: Assessing the Viability of Weak Gravity and Weak Cosmic Censorship Conjectures in Kerr-Newman-Kiselev-Letelier Black Hole
• A Weak Gravity Theorem
• Seeding the vacuum with entropy: the Chaplygin-like vacuum hypothesis
• Is Gauge Mediation in the Swampland?
• Black Holes, Holography and Moduli Space Metric
• Monodromy Charge in D7-brane Inflation
• Exploration of a Singular Fluid Spacetime
• AdS Swampland Conjectures and Light Fermions
• Populating the landscape in an inhomogeneous universe
• Enhancement of axion decay constants in type IIA theory?
• Theories of gravity with nonminimal matter-curvature coupling and the de Sitter swampland conjectures
• Higgs in Nilpotent Supergravity: Vacuum Energy and Festina Lente
• Implications of quantum gravity for dark matter in the brane-world scenario
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• The effect of the WGC condition on the maximal energy extracted from black holes
• Note on Shape Moduli Stabilization, String Gas Cosmology and the Swampland Criteria
• Lectures on Naturalness, String Landscape and Multiverse
• Open Strings in IIB Orientifold Reductions
• Types of gauge groups in six-dimensional F-theory on double covers of rational elliptic 3-folds
• Escape from the swamp with spectator
• Testing quantum gravity with primordial gravitational waves
• Black hole production, eternal inflation, and information in quasi-de Sitter space
• Confinement from Distance in Metric Space and its Relation to Cosmological Constant
• CMB bispectrum constraints on DHOST inflation
• Two-Field Quintessential Higgs model and the Swampland
• Further swampland constraint on Dirac Neutrino
• Unraveling the Hubble tension with warm inflation
• Aether SUSY breaking: Can aether be alternative to F-term SUSY breaking?
• Infinite Distance Limits and Information Theory
• On the Gauge Group Topology of 8d CHL Vacua
• Supersymmetry breaking, brane dynamics and Swampland conjectures
• The correlation of WGC and Hydrodynamics bound with $R^4$ correction in the charged AdS${}_{d+2}$ black brane
• Topological Data Analysis for the String Landscape
• Relative Entropy and Torsion Coupling
• Spontaneous dark-matter mass generation along cosmological attractors in string theory
• Stability of BPS States and Weak Coupling Limits
• Stabilization of a twisted modulus on a mirror of rigid Calabi-Yau manifold
• On the F-term problem and quintessence supersymmetry breaking
• Stability of Extremal Black Holes and Weak Cosmic Censorship Conjecture in Kiselev Spacetime
• Inflationary constraints on the moduli-dependent species scale in modular invariant theories
• The Weak Gravity Conjecture and BPS Particles
• De Sitter space constraints on brane tensions and couplings
• Extremal 1/2 Calabi-Yau 3-folds and six-dimensional F-theory applications
• Searching for a Dark Dimension Right-handed Neutrino in KATRIN
• Implications of the weak gravity conjecture in anomalous quiver gauge theories
• Assisted Fibre Inflation in Perturbative LVS
• Weak Gravity Conjecture and Holographic Dark Energy Model with Interaction and Spatial Curvature
• Dark Dimension Right-handed Neutrinos Confronted with Long-Baseline Oscillation Experiments
• Bispectrum from five-dimensional inflation
• Asymptotic curvature of moduli spaces for Calabi-Yau threefolds
• Analysis and spectral theory of neck-stretching problems
• Gravitational Positivity Bounds on Scalar Potentials
• S-duality and the universal isometries of instanton corrected q-map spaces
• Higgs potential near-criticality from a de Sitter swampland-like condition
• The string theory swampland in the Euclid, SKA and Vera Rubin observatory era
• Asymptotic safety and quantum gravity amplitudes
• Non-Negativity of BMN Two-Point Functions With Three String Modes
• Kaluza-Klein Schwinger effect
• Massive gravitons on the Landscape and the AdS Distance Conjecture
• Hořava-Lifshitz $F(\bar{R})$ theories and the Swampland
• The CFT Distance Conjecture and Tensionless String Limits in $\mathcal{N}=2$ Quiver Gauge Theories
• The dark dimension, proton decay, and the length of the M-theory interval
• $F$-term Multi-Field Inflation in Supergravity without Stabiliser Superfields
• Supersymmetric Horizons at the Edge of Effective Field Theory
• Bounds on complex structure moduli values for perturbative control
• State counting on fibered CY-3 folds and the non-Abelian Weak Gravity Conjecture
• At the End of the World: Local Dynamical Cobordism
• cymyc -- Calabi-Yau Metrics, Yukawas, and Curvature
• Big-Bang Nucleosynthesis on a bubble universe nucleated in Kerr-AdS${}_5$ Black Hole
• Global aspects of moduli spaces of 2d SCFTs
• On the incompleteness of $G_2$-moduli spaces along degenerating families of $G_2$-manifolds
• Bounds on tower mass scales in the presence of throats of different warping
• Pure Natural Quintessential Inflation and Dark Energy
• Swampland conjectures for type IIB orientifolds with closed-string U(1)s
• A class of locally inhomogeneous complete quaternionic Kähler manifolds
• The Dark Dimension, the Swampland, and the Dark Matter Fraction Composed of Primordial Black Holes
• Constraints on Dark Energy from Inflation and the Swampland Conjectures
• Cosmic Censorship of Trans-Planckian Field Ranges in Gravitational Collapse
• Precision Cosmology and the Landscape
• Kiselev Black Holes in Anti-de Sitter Spacetime Are Not Viable
• Landscape of Narain CFTs
• Quintessence and false vacuum: Two sides of the same coin?
• Warm inflation in Weyl geometric gravity
• Electroweak Quintessence Axion as Dark Energy
• The Cosmological Constant, Dark Matter and the ElectroWeak Scale meet in the Swampland
• Tame Complexity of Effective Field Theories in the Quantum Gravity Landscape
• Breaking Free from the Swampland of Impossible Universes through the DESI Portal
• Constraining Spatial Curvature with Priors from Swampland Conjectures
• Species scale associated with Weinberg operator and bound on Majorana neutrino mass
• Holography as an Information Principle in Quantum Gravity
• Dynamical Tadpoles and Weak Gravity Constraints
• A T-Fold Black Hole in Doubled Type IIB
• Gauging the complex SYK model
• String Theory from Maximal Supersymmetry
• $\frac{1}{2}$Calabi-Yau 4-folds and four-dimensional F-theory on Calabi-Yau 4-folds with U(1) factors
• Towards an explicit model of large field inflation
• Toroidal $\&$ orbifold compactifications at large D and D-duality
• A unique coupling of the massive spin-2 field to supergravity
• $E_9$ symmetry in the Heterotic String on $S^1$ and the Weak Gravity Conjecture
• Moduli Stabilization in Stringy ISS Models
• Singularities of 1/2 Calabi-Yau 4-folds and classification scheme for gauge groups in four-dimensional F-theory
• Dynamical-System analysis of single-axion monodromy inflation with periodically-modulated potentials
• On the Occurrence of Finite-time Singularities in Swampland-related Quintessence Dark Energy Models
• Towards a String Realization of the Dark Dimension via T-folds
• Aspects of 4d supersymmetric dynamics and geometry
• Solar System and Atomic Clock Bounds on Locally Coupled Swampland Scalars
• Systematic exploration of the non-geometric flux landscape
• Comments on Brane Recombination, Finite Flux Vacua, and the Swampland
• Thermodynamic Split Conjecture and an Observational Test for Cosmological Entropy
• Background instability of quintessence model in light of entropy and distance conjecture
• Kination cosmology from scalar fields and gravitational-wave signatures
• String loop origin for dark radiation and superheavy dark matter in type IIB compactifications
• D-particle Field Category
• Infrared behavior in tame hyperbolizable two-field models
• Cosmic acceleration from string induced Galileons
• Scale-dependence in DHOST inflation
• Exact Geometries from Boundary Gravity
• Swampland Conjectures and Cosmological Expansion