Lectures on the Swampland Program in String Compactifications

Abstract

The Swampland program aims to determine the constraints that an effective field theory must satisfy to be consistent with a UV embedding in a quantum gravity theory. Different proposals have been formulated in the form of Swampland conjectures. In these lecture notes, we provide a pedagogical introduction to the most important Swampland conjectures, their connections and their realization in string theory compactifications. The notes are based on the series of lectures given by Irene Valenzuela at the online QFT and Geometry summer school in July 2020.

arXiv comment71 pages, 27 figures; v2: typos corrected, references added

References in corpus (83)

• de Sitter Vacua in String Theory
• Planck 2018 results. X. Constraints on inflation
• Generalized Global Symmetries
• The String Landscape, Black Holes and Gravity as the Weakest Force
• On the Geometry of the String Landscape and the Swampland
• Supergravity description of field theories on curved manifolds and a no go theorem
• Symmetries and Strings in Field Theory and Gravity
• The Swampland: Introduction and Review
• Massless Black Holes and Conifolds in String Theory
• Distance and de Sitter Conjectures on the Swampland
• Anti-de Sitter Fragmentation
• The String Landscape and the Swampland
• Bounds on Slow Roll and the de Sitter Swampland
• De Sitter Space and the Swampland
• Black Holes and Large N Species Solution to the Hierarchy Problem
• Type IIA Moduli Stabilization
• What if string theory has no de Sitter vacua?
• Infinite Distances in Field Space and Massless Towers of States
• AdS and the Swampland
• Black Hole Bound on the Number of Species and Quantum Gravity at LHC
• Trans-Planckian Censorship and the Swampland
• Wormholes, Emergent Gauge Fields, and the Weak Gravity Conjecture
• Tensionless Strings and the Weak Gravity Conjecture
• Naturalness and the Weak Gravity Conjecture
• Super-Planckian Spatial Field Variations and Quantum Gravity
• The Weak Gravity Conjecture and Scalar Fields
• Higher-order corrections to mass-charge relation of extremal black holes
• Constraints on symmetry from holography
• Evidence for a Lattice Weak Gravity Conjecture
• Transplanckian axions !?
• Inflationary Constraints on Type IIA String Theory
• Emergence and the Swampland Conjectures
• Sharpening the Weak Gravity Conjecture with Dimensional Reduction
• A Stringy Test of the Scalar Weak Gravity Conjecture
• Weak Gravity Conjecture from Unitarity and Causality
• The Weak Gravity Conjecture in three dimensions
• Proof of the Weak Gravity Conjecture from Black Hole Entropy
• A Tower Weak Gravity Conjecture from Infrared Consistency
• Infinite Distance Networks in Field Space and Charge Orbits
• The Swampland Distance Conjecture for Kahler moduli
• Backreacted Axion Field Ranges in String Theory
• The Weak Gravity Conjecture and Emergence from an Ultraviolet Cutoff
• Testing the Weak Gravity -- Cosmic Censorship Connection
• The Swampland Conjecture and F-term Axion Monodromy Inflation
• On Slow-roll Moduli Inflation in Massive IIA Supergravity with Metric Fluxes
• On Classical de Sitter Vacua in String Theory
• The web of swampland conjectures and the TCC bound
• Asymptotic Flux Compactifications and the Swampland
• Constraints on Axion Inflation from the Weak Gravity Conjecture
• Repulsive Forces and the Weak Gravity Conjecture
• Festina Lente: EFT Constraints from Charged Black Hole Evaporation in de Sitter
• M-theory and Type IIA Flux Compactifications
• Instantons and infinite distances
• Branes and the Swampland
• Modular Fluxes, Elliptic Genera, and Weak Gravity Conjectures in Four Dimensions
• The Swampland Distance Conjecture and Towers of Tensionless Branes
• A Holographic Derivation of the Weak Gravity Conjecture
• Swampland Distance Conjecture, Inflation and $\alpha$-attractors
• The Weak Gravity Conjecture and Effective Field Theory
• Backreaction Issues in Axion Monodromy and Minkowski 4-forms
• Constraining Neutrino Masses, the Cosmological Constant and BSM Physics from the Weak Gravity Conjecture
• Instanton Corrections and Emergent Strings
• Minkowski 3-forms, Flux String Vacua, Axion Stability and Naturalness
• O-plane Backreaction and Scale Separation in Type IIA Flux Vacua
• Swampland Bounds on the Abelian Gauge Sector
• Four Dimensional $\mathcal{N}=4$ SYM and the Swampland
• Cobordism Classes and the Swampland
• Open problems on classical de Sitter solutions
• The Type IIA Flux Potential, 4-forms and Freed-Witten anomalies
• A Strong Scalar Weak Gravity Conjecture and Some Implications
• Discrete Symmetries, Weak Coupling Conjecture and Scale Separation in AdS Vacua
• Predictive Landscapes and New Physics at a TeV
• Towards a Swampland Global Symmetry Conjecture using Weak Gravity
• Approximate Symmetries and Gravity
• A proof of the weak gravity conjecture
• Revisiting the Scalar Weak Gravity Conjecture
• A Conjecture on the Minimal Size of Bound States
• Pair Production and Gravity as the Weakest Force
• Towards a proof of the Weak Gravity Conjecture
• Transplanckian Censorship and the Local Swampland Distance Conjecture
• Discrete Gauge Symmetries and the Weak Gravity Conjecture
• A Note on Membrane Interactions and the Scalar potential
• Emergent Strings, Duality and Weak Coupling Limits for Two-Form Fields

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• Sharp Boundaries for the Swampland
• The Dark Dimension and the Swampland
• Quintessential interpretation of the evolving dark energy in light of DESI
• Generalized Symmetry Breaking Scales and Weak Gravity Conjectures
• The Emergence Proposal in Quantum Gravity and the Species Scale
• IR/UV Mixing, Towers of Species and Swampland Conjectures
• The Gravitino and the Swampland
• Non-Invertible Symmetries from Discrete Gauging and Completeness of the Spectrum
• Finiteness and the Swampland
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• EFT strings and emergence
• Gravity as a gapless phase and biform symmetries
• Asymptotic Accelerated Expansion in String Theory and the Swampland
• Emergent Cosmology from Matrix Theory
• Dynamical Cobordism Conjecture: Solutions for End-of-the-World Branes
• Asymptotic Safety: Swampland or Wonderland?
• On Higher-Spin Points and Infinite Distances in Conformal Manifolds
• Emergence of Species Scale Black Hole Horizons
• Shedding black hole light on the emergent string conjecture
• Is the Standard Model in the Swampland? Consistency Requirements from Gravitational Scattering
• Taming the Landscape of Effective Theories
• The Dark Dimension in a Warped Throat
• From infinite to infinitesimal: Using the Universe as a dataset to probe Casimir corrections to the vacuum energy from fields inhabiting the dark dimension
• Cosmological tests of quintessence in quantum gravity
• The Asymptotic Weak Gravity Conjecture in M-theory
• Membrane Limits in Quantum Gravity
• Reissner-Nordström black holes surrounded by perfect fluid dark matter: testing the viability of weak gravity conjecture and weak cosmic censorship conjecture simultaneously
• Strong Cosmic Censorship in light of Weak Gravity Conjecture for Charged Black Holes
• Three-dimensional flux vacua from IIB on co-calibrated G2 orientifolds
• Weak Gravity Conjecture Validation with Photon Spheres of Quantum Corrected AdS-Reissner-Nordstrom Black Holes in Kiselev Spacetime
• Pure Supersymmetric AdS and the Swampland
• Weak Cosmic Censorship and Weak Gravity Conjectures in CFT Thermodynamics
• Fuzzy Dark Matter and the Dark Dimension
• Swampland dS conjecture in Mimetic $f(R,T)$ gravity
• WGC and WCC for charged black holes with quintessence and cloud of strings
• Moduli inflation from modular flavor symmetries
• Revisiting Dudas-Mourad compactifications
• Swampland Conditions for Higher Derivative Couplings from CFT
• Fluxes, Vacua, and Tadpoles meet Landau-Ginzburg and Fermat
• On the Origin of Species Thermodynamics and the Black Hole - Tower Correspondence
• Quantum Gravity Bounds on N=1 Effective Theories in Four Dimensions
• The dark dimension, the Swampland, and the origin of cosmic rays beyond the GZK barrier
• On Asymptotic Dark Energy in String Theory
• Dimensional Reduction of Cobordism and K-theory
• The Standard Model from String Theory: What Have We Learned?
• Running Love Numbers and the Effective Field Theory of Gravity
• A stringy realization of a small and positive cosmological constant in dark bubble cosmology
• RG-Induced Modulus Stabilization: Perturbative de Sitter Vacua and Improved $D3$-$\overline{D3}$ Inflation
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• Finite energy sum rules for gravitational Regge amplitudes
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• Higher derivative corrections to black brane thermodynamics and the weak gravity conjecture
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• Mass Hierarchies and Quantum Gravity Constraints in DKMM-refined KKLT
• Gravitational Solitons and Completeness
• On (Scalar QED) Gravitational Positivity Bounds
• BIonic membranes and AdS instabilities
• Quantum gravity constraints on scale separation and de Sitter in five dimensions
• On Measuring Distances in the Quantum Gravity Landscape
• Towards a Dark Sector Model from String Theory
• Non-minimal Elliptic Threefolds at Infinite Distance II: Asymptotic Physics
• Does the Cosmological Constant really indicate the existence of a Dark Dimension?
• Self-Binding Energies in AdS
• Negative Corrections to Black Hole Entropy from String Theory
• Two Micron-Size Dark Dimensions
• Swampland Bounds on Dark Sectors
• Remarks on the effects of quantum corrections on moduli stabilization and de Sitter vacua in type IIB string theory
• Modular Curves and the Refined Distance Conjecture
• Towards a complete classification of 6D supergravities
• Proving the Weak Gravity Conjecture in Perturbative String Theory, Part I: The Bosonic String
• Black Hole Extremality in Nonlinear Electrodynamics: A Lesson for Weak Gravity and Festina Lente Bounds
• A counterexample to the CFT convexity conjecture
• Probing the Dark Dimension with Auger data
• Light Strings and Strong Coupling in F-theory
• Visions in Quantum Gravity
• De Sitter Quantum Breaking, Swampland Conjectures and Thermal Strings
• The rise of the primordial tensor spectrum from an early scalar-tensor epoch
• Confinement in de Sitter Space and the Swampland
• Finiteness of 3D higher spin gravity Landscape
• Gravity-Induced Photon Interactions and Infrared Consistency in any Dimensions
• Emergent Strings in Type IIB Calabi--Yau Compactifications
• Bulk Black Hole Dark Matter
• Analytic Periods via Twisted Symmetric Squares
• Geometric Flow of Bubbles
• One-loop corrections to the E-type $\alpha$-attractor models of inflation and primordial black hole production
• On the correspondence between black holes, domain walls and fluxes
• A non-local way around the no-global-symmetries conjecture in quantum gravity?
• Seeking de-Sitter Vacua in the String Landscape
• Features of a dark energy model in string theory
• S-dual Inflation and the String Swampland
• Asymptotic Weak Gravity Conjecture in M-theory on K3 $\times$ K3
• Asymptotic safety, quantum gravity, and the swampland: a conceptual assessment
• Flavor Symmetries and Automatic Enhancement in the 6d Supergravity Swampland
• Infinite distances in multicritical CFTs and higher-spin holography
• Effective geometrodynamics for renormalization-group improved black-hole spacetimes in spherical symmetry
• Cosmological constant as an integration constant
• Affine Algebras at Infinite Distance Limits in the Heterotic String
• Limitations of an Effective Field Theory Treatment of Early Universe Cosmology
• Geometric flow equations for the number of space-time dimensions
• EFT & Species Scale: Friends or foes?
• Axion species scale and axion weak gravity conjecture-like bound
• Lectures in Quantum Gravity
• Consistency conditions for O-plane unsmearing from second-order perturbation theory
• Large U(1) charges from flux breaking in 4D F-theory models
• The Stringy Origins of Galileons and their Novel Limit
• Searching for Coleman-de Luccia bubbles in AdS compactifications
• Fluctuating Ensemble Averages and the BTZ Threshold
• Uplift and towers of states in warped throat
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Metastable vacua from torsion and machine learning
• Cosmic-Quantum Connections: Assessing the Viability of Weak Gravity and Weak Cosmic Censorship Conjectures in Kerr-Newman-Kiselev-Letelier Black Hole
• On the limitations of non-geometric fluxes to realize dS vacua
• AdS Swampland Conjectures and Light Fermions
• Higher spin swampland conjecture for massive AdS${}_3$ gravity
• The heterotic G${}_2$ system with reducible characteristic holonomy
• Dissipative Emergence of Inflation from Quasi-Cyclic Universe
• Flux vacua in type IIB compactifications on orbifolds: their finiteness and minimal string coupling
• Confinement from Distance in Metric Space and its Relation to Cosmological Constant
• Black hole production, eternal inflation, and information in quasi-de Sitter space
• On Convexity of Charged Operators in CFTs and the Weak Gravity Conjecture
• Infinite Distance Limits and Information Theory
• Stability of Extremal Black Holes and Weak Cosmic Censorship Conjecture in Kiselev Spacetime
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