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.

71 pages, 27 figures; v2: typos corrected, references added

References in corpus (20)

• Generalized Global Symmetries
• On the Geometry of the String Landscape and the Swampland
• Symmetries and Strings in Field Theory and Gravity
• The Swampland: Introduction and Review
• The String Landscape and the Swampland
• Black Hole Bound on the Number of Species and Quantum Gravity at LHC
• Super-Planckian Spatial Field Variations and Quantum Gravity
• Inflationary Constraints on Type IIA String Theory
• The Weak Gravity Conjecture in three dimensions
• On Slow-roll Moduli Inflation in Massive IIA Supergravity with Metric Fluxes
• On Classical de Sitter Vacua in String Theory
• The Weak Gravity Conjecture and Effective Field Theory
• Constraining Neutrino Masses, the Cosmological Constant and BSM Physics from the Weak Gravity Conjecture
• O-plane Backreaction and Scale Separation in Type IIA Flux Vacua
• Cobordism Classes and the Swampland
• Open problems on classical de Sitter solutions
• Predictive Landscapes and New Physics at a TeV
• A proof of the weak gravity conjecture
• Transplanckian Censorship and the Local Swampland Distance Conjecture
• Emergent Strings, Duality and Weak Coupling Limits for Two-Form Fields

Cited by in corpus (147)

• 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
• A Gravitino Distance Conjecture
• 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?
• Emergence of Species Scale Black Hole Horizons
• On Higher-Spin Points and Infinite Distances in Conformal Manifolds
• 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
• Cosmological tests of quintessence in quantum gravity
• From infinite to infinitesimal: Using the Universe as a dataset to probe Casimir corrections to the vacuum energy from fields inhabiting the dark dimension
• Membrane Limits in Quantum Gravity
• The Asymptotic Weak Gravity Conjecture in M-theory
• Strong Cosmic Censorship in light of Weak Gravity Conjecture for Charged Black Holes
• Reissner-Nordström black holes surrounded by perfect fluid dark matter: testing the viability of weak gravity conjecture and weak cosmic censorship conjecture simultaneously
• Weak Gravity Conjecture Validation with Photon Spheres of Quantum Corrected AdS-Reissner-Nordstrom Black Holes in Kiselev Spacetime
• Three-dimensional flux vacua from IIB on co-calibrated G2 orientifolds
• Pure Supersymmetric AdS and the Swampland
• Weak Cosmic Censorship and Weak Gravity Conjectures in CFT Thermodynamics
• Fuzzy Dark Matter and the Dark Dimension
• Moduli inflation from modular flavor symmetries
• Swampland dS conjecture in Mimetic $f(R,T)$ gravity
• WGC and WCC for charged black holes with quintessence and cloud of strings
• Revisiting Dudas-Mourad compactifications
• Fluxes, Vacua, and Tadpoles meet Landau-Ginzburg and Fermat
• Swampland Conditions for Higher Derivative Couplings from CFT
• 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?
• RG-Induced Modulus Stabilization: Perturbative de Sitter Vacua and Improved $D3$-$\overline{D3}$ Inflation
• Running Love Numbers and the Effective Field Theory of Gravity
• A stringy realization of a small and positive cosmological constant in dark bubble cosmology
• The Weak Gravity Conjecture Requires the Existence of Exotic AdS Black Holes
• Axion wormholes with massive dilaton
• Finite energy sum rules for gravitational Regge amplitudes
• Page curve and symmetries
• Higher derivative corrections to black brane thermodynamics and the weak gravity conjecture
• Mass Hierarchies and Quantum Gravity Constraints in DKMM-refined KKLT
• Non-minimal Elliptic Threefolds at Infinite Distance I: Log Calabi-Yau Resolutions
• The discrete Green-Schwarz mechanism in 6D F-Theory and Elliptic Genera of Non-Critical Strings
• Gravitational Solitons and Completeness
• On (Scalar QED) Gravitational Positivity Bounds
• Quantum gravity constraints on scale separation and de Sitter in five dimensions
• BIonic membranes and AdS instabilities
• Towards a Dark Sector Model from String Theory
• On Measuring Distances in the Quantum Gravity Landscape
• Non-minimal Elliptic Threefolds at Infinite Distance II: Asymptotic Physics
• Self-Binding Energies in AdS
• Does the Cosmological Constant really indicate the existence of a Dark Dimension?
• Negative Corrections to Black Hole Entropy from String Theory
• Swampland Bounds on Dark Sectors
• Two Micron-Size Dark Dimensions
• 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
• 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
• Light Strings and Strong Coupling in F-theory
• Towards a complete classification of 6D supergravities
• Probing the Dark Dimension with Auger data
• Visions in Quantum Gravity
• The rise of the primordial tensor spectrum from an early scalar-tensor epoch
• Confinement in de Sitter Space and the Swampland
• Analytic Periods via Twisted Symmetric Squares
• Emergent Strings in Type IIB Calabi--Yau Compactifications
• Finiteness of 3D higher spin gravity Landscape
• Bulk Black Hole Dark Matter
• Gravity-Induced Photon Interactions and Infrared Consistency in any Dimensions
• Features of a dark energy model in string theory
• Geometric Flow of Bubbles
• On the correspondence between black holes, domain walls and fluxes
• One-loop corrections to the E-type $\alpha$-attractor models of inflation and primordial black hole production
• A non-local way around the no-global-symmetries conjecture in quantum gravity?
• Seeking de-Sitter Vacua in the String Landscape
• 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
• S-dual Inflation and the String Swampland
• Infinite distances in multicritical CFTs and higher-spin holography
• Effective geometrodynamics for renormalization-group improved black-hole spacetimes in spherical symmetry
• Limitations of an Effective Field Theory Treatment of Early Universe Cosmology
• Cosmological constant as an integration constant
• Affine Algebras at Infinite Distance Limits in the Heterotic String
• EFT & Species Scale: Friends or foes?
• 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
• Uplift and towers of states in warped throat
• Fluctuating Ensemble Averages and the BTZ Threshold
• Searching for Coleman-de Luccia bubbles in AdS compactifications
• Large U(1) charges from flux breaking in 4D F-theory models
• AdS Swampland Conjectures and Light Fermions
• Cosmic-Quantum Connections: Assessing the Viability of Weak Gravity and Weak Cosmic Censorship Conjectures in Kerr-Newman-Kiselev-Letelier Black Hole
• Metastable vacua from torsion and machine learning
• On the limitations of non-geometric fluxes to realize dS vacua
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Flux vacua in type IIB compactifications on orbifolds: their finiteness and minimal string coupling
• Higher spin swampland conjecture for massive AdS${}_3$ gravity
• On Convexity of Charged Operators in CFTs and the Weak Gravity Conjecture
• Dissipative Emergence of Inflation from Quasi-Cyclic Universe
• Black hole production, eternal inflation, and information in quasi-de Sitter space
• Infinite Distance Limits and Information Theory
• Confinement from Distance in Metric Space and its Relation to Cosmological Constant
• The heterotic G${}_2$ system with reducible characteristic holonomy
• Morse-Bott inequalities, Topology Change and Cobordisms to Nothing
• Kaluza-Klein Schwinger effect
• Starobinsky inflation and Swampland conjectures
• Stability of Extremal Black Holes and Weak Cosmic Censorship Conjecture in Kiselev Spacetime
• A (strictly) contemporary perspective on trans-Planckian censorship
• De Sitter space constraints on brane tensions and couplings
• Spectral Constraints on Theories of Colored Particles and Gravity
• Assisted Fibre Inflation in Perturbative LVS
• Smooth String Vacua in a Gravitationally Non-perturbative Regime
• Three-family supersymmetric Pati-Salam models from intersecting D6-branes on rigid cycles
• Quintessence and false vacuum: Two sides of the same coin?
• ISCOs and the weak gravity conjecture bound in higher derivative theories of gravity
• Gromov-Witten/Hilbert versus AdS3/CFT2 Correspondence
• Bounds on tower mass scales in the presence of throats of different warping
• Hořava-Lifshitz $F(\bar{R})$ theories and the Swampland
• Landscape of Narain CFTs
• Center Symmetry Breaking in Calabi--Yau Compactifications
• Thermodynamic Split Conjecture and an Observational Test for Cosmological Entropy
• Cosmic acceleration from string induced Galileons
• Background instability of quintessence model in light of entropy and distance conjecture
• Aspects of 4d supersymmetric dynamics and geometry
• Tame Complexity of Effective Field Theories in the Quantum Gravity Landscape
• Species scale associated with Weinberg operator and bound on Majorana neutrino mass
• Algebraic Realisation of the Zamolodchikov Metric in Narain Theories
• Toroidal $\&$ orbifold compactifications at large D and D-duality
• Infrared behavior in tame hyperbolizable two-field models