Calabi-Yau fourfolds for M- and F-Theory compactifications
arXiv:hep-th/9701023 · doi:10.1016/S0550-3213(97)00798-0
Abstract
We investigate topological properties of Calabi-Yau fourfolds and consider a wide class of explicit constructions in weighted projective spaces and, more generally, toric varieties. Divisors which lead to a non-perturbative superpotential in the effective theory have a very simple description in the toric construction. Relevant properties of them follow just by counting lattice points and can be also used to construct examples with negative Euler number. We study nets of transitions between cases with generically smooth elliptic fibres and cases with ADE gauge symmetries in the N=1 theory due to degenerations of the fibre over codimension one loci in the base. Finally we investigate the quantum cohomology ring of this fourfolds using Frobenius algebras.
61 pages harvmac, one figure blow.eps, model 16 in tab 6.1 corrected and other minor corrections, references added
Cited by in corpus (175)
- de Sitter Vacua in String Theory
- Vector Bundles And F Theory
- Building a Better Racetrack
- Lectures on F-theory compactifications and model building
- GUTs in Type IIB Orientifold Compactifications
- Les Houches Lectures on Constructing String Vacua
- Inflation from Warped Space
- Global F-theory GUTs
- D-brane Deconstructions in IIB Orientifolds
- M-theory compactified on Calabi-Yau fourfolds with background flux
- On Abelian Gauge Symmetries and Proton Decay in Global F-theory GUTs
- Flux Compactifications on Calabi-Yau Threefolds
- The N=1 effective action of F-theory compactifications
- Matter and singularities
- Computational complexity of the landscape I
- G-flux in F-theory and algebraic cycles
- Anomaly Equations and Intersection Theory
- Enumerating Flux Vacua with Enhanced Symmetries
- F-Theory Compactifications with Multiple U(1)-Factors: Constructing Elliptic Fibrations with Rational Sections
- Gaugino Condensation and Nonperturbative Superpotentials in Flux Compactifications
- Basic results in Vacuum Statistics
- F-Theory GUT Vacua on Compact Calabi-Yau Fourfolds
- Chiral Four-Dimensional F-Theory Compactifications With SU(5) and Multiple U(1)-Factors
- Moduli in N=1 heterotic/F-theory duality
- Toric bases for 6D F-theory models
- Topological String Amplitudes, Complete Intersection Calabi-Yau Spaces and Threshold Corrections
- Anomaly Cancellation And Abelian Gauge Symmetries In F-theory
- Strings of Minimal 6d SCFTs
- Enumerative geometry of Calabi-Yau 4-folds
- Comparing Infrared Dirac-Born-Infeld Brane Inflation to Observations
- A New Handle on de Sitter Compactifications
- The Tadpole Problem
- Modular Fluxes, Elliptic Genera, and Weak Gravity Conjectures in Four Dimensions
- Feynman Integrals in Dimensional Regularization and Extensions of Calabi-Yau Motives
- Saltatory de Sitter String Vacua
- Small Cosmological Constants in String Theory
- Analytic Structure of all Loop Banana Amplitudes
- F-theory uplifts and GUTs
- New F-theory lifts
- Control issues of KKLT
- From Local to Global in F-Theory Model Building
- Superpotentials for Vector Bundle Moduli
- The Fall of Stringy de Sitter
- Hints for Off-Shell Mirror Symmetry in type II/F-theory Compactifications
- More on Dimension-4 Proton Decay Problem in F-theory -- Spectral Surface, Discriminant Locus and Monodromy
- Constraints on 6D Supergravity Theories with Abelian Gauge Symmetry
- Computing Brane and Flux Superpotentials in F-theory Compactifications
- The -loop Banana Amplitude from GKZ Systems and relative Calabi-Yau Periods
- On the Hodge structure of elliptically fibered Calabi-Yau threefolds
- D7-Brane Motion from M-Theory Cycles and Obstructions in the Weak Coupling Limit
- Gravitational Wave Constraints on DBI Inflation
- The Ubiquitous Throat
- Topological Invariants and Fibration Structure of Complete Intersection Calabi-Yau Four-Folds
- Three-Family Particle Physics Models from Global F-theory Compactifications
- New Orientifold Weak Coupling Limits in F-theory
- Chirality Changing Phase Transitions in 4d String Vacua
- Accelerating Universes and String Theory
- Scanning the skeleton of the 4D F-theory landscape
- Non-Higgsable clusters for 4D F-theory models
- Holography and the KKLT Scenario
- The F-theory geometry with most flux vacua
- A Barren Landscape?
- Calabi-Yau threefolds with large h^{2, 1}
- -bundle bases and the prevalence of non-Higgsable structure in 4D F-theory models
- A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua
- Axion Inflation in F-theory
- Geometric constraints in dual F-theory and heterotic string compactifications
- Supersymmetric Protection and the Swampland
- Structure in 6D and 4D N=1 supergravity theories from F-theory
- Towards the Standard Model spectrum from elliptic Calabi-Yau
- Calabi-Yau Fourfolds with Flux and Supersymmetry Breaking
- Constraints on Wrapped DBI Inflation in a Warped Throat
- Five-Brane Superpotentials and Heterotic/F-theory Duality
- The LVS Parametric Tadpole Constraint
- The Vertical, the Horizontal and the Rest: anatomy of the middle cohomology of Calabi-Yau fourfolds and F-theory applications
- The ice cone family and iterated integrals for Calabi-Yau varieties
- Landscaping with fluxes and the E8 Yukawa Point in F-theory
- Special Points of Inflation in Flux Compactifications
- Non-Higgsable QCD and the Standard Model Spectrum in F-theory
- Duality in Heterotic Vacua With Four Supercharges
- Landau-Ginzburg Vacua of String, M- and F-Theory at c=12
- The Calabi-Yau Landscape: from Geometry, to Physics, to Machine-Learning
- UV Completions for Non-Critical Strings
- Donaldson-Thomas theory for Calabi-Yau 4-folds
- On N=1 4d Effective Couplings for F-theory and Heterotic Vacua
- Elliptic Blowup Equations for 6d SCFTs. II: Exceptional Cases
- The effective action of D-branes in Calabi-Yau orientifold compactifications
- Toric complete intersections and weighted projective space
- Machine Learning Calabi-Yau Hypersurfaces
- F theory Vacua in Four Dimensions and Toric Threefolds
- Multiple Fibrations in Calabi-Yau Geometry and String Dualities
- Divisors on elliptic Calabi-Yau 4-folds and the superpotential in F-theory, I
- Type II/F-theory Superpotentials with Several Deformations and N=1 Mirror Symmetry
- Two Two-Dimensional Supergravity Theories from Calabi-Yau Four-Folds
- Exact Kahler Potential for Calabi-Yau Fourfolds
- Quantum periods of Calabi-Yau fourfolds
- Enhanced gauge symmetry in 6D F-theory models and tuned elliptic Calabi-Yau threefolds
- Tachyonic Inflation in a Warped String Background
- Critical points and supersymmetric vacua, III: String/M models
- Fluxbranes: Moduli Stabilisation and Inflation
- Three-Branes and Five-Branes in N=1 Dual String Pairs
- Three Dimensional N=2 Gauge Theories and Degenerations of Calabi-Yau Four-Folds
- IIA supergravity and M-theory on manifolds with SU(4) structure
- Tate Form and Weak Coupling Limits in F-theory
- Freezing E3-brane instantons with fluxes
- Non-Higgsable abelian gauge symmetry and F-theory on fiber products of rational elliptic surfaces
- The Cremmer-Scherk Mechanism in F-theory Compactifications on K3 Manifolds
- Single-Field Inflation After WMAP5
- CFTs Blueshift Tensor Fluctuations Universally
- Warped Strings: Self-dual Flux and Contemporary Compactifications
- Effective action from M-theory on twisted connected sum -manifolds
- Gravitational Wave Constraints on Multi-Brane Inflation
- M-theory on Elliptic Calabi-Yau Threefolds and 6d Anomalies
- On Instanton Superpotentials, Calabi-Yau Geometry, and Fibrations
- D(-1)-Instanton Superpotential In String Theory
- Spin(7)-Manifolds as Generalized Connected Sums and 3d N=1 Theories
- Chern class identities from tadpole matching in type IIB and F-theory
- Statistics of Flux Vacua for Particle Physics
- Type IIA and Heterotic String Vacua in D=2
- The Gravitational Sector of 2d (0,2) F-theory Vacua
- Rotating a Curvaton Brane in a Warped Throat
- Kinetic Mixing at Strong Coupling
- Strings on Eight-Orbifolds
- Quasi-Jacobi Forms, Elliptic Genera and Strings in Four Dimensions
- Towards a Higgs phase of gravity in string theory
- F-theory and linear sigma models
- Sequestered Dark Matter
- Quantum K-Theory of Calabi-Yau Manifolds
- Standard Model bundles of the heterotic string
- Curvatons in Warped Throats
- Towards a complete mass spectrum of type-IIB flux vacua at large complex structure
- Extended Gauge Symmetries in F-theory
- An Observational Test of Holographic Inflation
- NS5-Branes and Line Bundles in Heterotic/F-Theory Duality
- Three-form periods on Calabi-Yau fourfolds: Toric hypersurfaces and F-theory applications
- Holomorphic Couplings In Non-Perturbative String Compactifications
- M-theory, the signature theorem, and geometric invariants
- Fibration structure in toric hypersurface Calabi-Yau threefolds
- Revisiting arithmetic solutions to the condition
- Weierstrass meets Enriques
- Fibration structures in toric Calabi-Yau Fourfolds
- Axion Stabilization in Type IIB Flux Compactifications
- Towards Refining the Topological Strings on Compact Calabi-Yau 3-folds
- An update on single field models of inflation in light of WMAP7
- On generalized Sethi-Vafa-Witten formulas
- Asymptotic Weak Gravity Conjecture in M-theory on K3 K3
- Dualities and phase transitions for Calabi-Yau 3folds and 4folds
- Toric Calabi-Yau Fourfolds, Duality Between N=1 Theories and Divisors that Contribute to the Superpotential
- Dilaton stabilization in KKLT revisited
- On the Elliptic Calabi-Yau Fourfold with Maximal
- Brane Curvature Corrections to the Type II/F-theory Effective Action
- Gauge symmetry breaking with fluxes and natural Standard Model structure from exceptional GUTs in F-theory
- On Mirror Symmetry for Calabi-Yau Fourfolds with Three-Form Cohomology
- Local B-model Yukawa couplings from A-twisted correlators
- Enhanced Gauge Symmetry in Three-Moduli Models of Type-II String and Hypergeometric Series
- Heterotic String Compactification and New Vector Bundles
- 3d N=1 effective supergravity and F-theory from M-theory on fourfolds
- A Note on of Divisors of CY Fourfolds I
- Large U(1) charges from flux breaking in 4D F-theory models
- Determinantal Calabi-Yau varieties in Grassmannians and the Givental -functions
- On D0-branes in Gepner models
- Calabi-Yau Four/Five/Six-folds as Hypersurfaces: Machine Learning, Approximation, and Generation
- Lectures on Naturalness, String Landscape and Multiverse
- MQCD, ('Barely') G_2 Manifolds and (Orientifold of) a Compact Calabi-Yau
- Non-flat elliptic four-folds, three-form cohomology and strongly coupled theories in four dimensions
- M-theory Calabi-Yau Quantum Mechanics
- On extremal transitions of Calabi-Yau threefolds and the singularity of the associated 7-space from rolling
- An N=1 Triality by Spectrum Matching
- Dark matter in the KL moduli stabilization scenario with SUSY breaking sector from SQCD
- Open Mirror Symmetry for Higher Dimensional Calabi-Yau Hypersurfaces
- Brane Inflation and Fine Tuning
- Elliptic Calabi-Yau fivefolds and 2d (0,2) F-theory landscape
- On K3-Thurston 7-manifolds and their deformation space: A case study with remarks on general K3T and M-theory compactification
- BPS States in F-Theory
- Towards an explicit model of large field inflation