A Systematic Approach to Kähler Moduli Stabilisation
arXiv:2005.11329 · doi:10.1007/JHEP08(2020)047
Abstract
Achieving full moduli stabilisation in type IIB string compactifications for generic Calabi-Yau threefolds with hundreds of Kähler moduli is notoriously hard. This is due not just to the very fast increase of the computational complexity with the number of moduli, but also to the fact that the scalar potential depends in general on the supergravity variables only implicitly. In fact, the supergravity chiral coordinates are 4-cycle volume moduli but the Kähler potential is an explicit function of the 2-cycle moduli and inverting between these two variables is in general impossible. In this paper we propose a general method to fix all type IIB Kähler moduli in a systematic way by working directly in terms of 2-cycle moduli: on one side we present a `master formula' for the scalar potential which can depend on an arbitrary number of Kähler moduli, while on the other we perform a computer-based search for critical points, introducing a hybrid Genetic/Clustering/Amoeba algorithm and other computational techniques. This allows us to reproduce several known minima, but also to discover new examples of both KKLT and LVS models, together with novel classes of LVS minima without diagonal del Pezzo divisors and hybrid vacua which share some features with KKLT and other with LVS solutions.
arXiv comment47 pages, 8 figures, 12 tables
References in corpus (76)
- de Sitter Vacua in String Theory
- Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications
- Supersymmetry Breaking and alpha'-Corrections to Flux Induced Potentials
- Large-Volume Flux Compactifications: Moduli Spectrum and D3/D7 Soft Supersymmetry Breaking
- The effective action of N=1 Calabi-Yau orientifolds
- Building a Better Racetrack
- Kahler Moduli Inflation
- String Loop Corrections to Kahler Potentials in Orientifolds
- Fibre Inflation: Observable Gravity Waves from IIB String Compactifications
- GUTs in Type IIB Orientifold Compactifications
- General Analysis of LARGE Volume Scenarios with String Loop Moduli Stabilisation
- Jumping Through Loops: On Soft Terms from Large Volume Compactifications
- de Sitter String Vacua from Kahler Uplifting
- PALP: A Package for Analyzing Lattice Polytopes with Applications to Toric Geometry
- Systematics of String Loop Corrections in Type IIB Calabi-Yau Flux Compactifications
- Stringy corrections to Kahler potentials, SUSY breaking, and the cosmological constant problem
- Generalized N=1 Orientifold Compactifications and the Hitchin functionals
- De Sitter vs Quintessence in String Theory
- D-Branes at del Pezzo Singularities: Global Embedding and Moduli Stabilisation
- Explicit de Sitter Flux Vacua for Global String Models with Chiral Matter
- Moduli Stabilization in Type IIB Orientifolds (II)
- Spectral analysis of early-type stars using a genetic algorithm based fitting method
- De Sitter from T-branes
- Inflating in a Better Racetrack
- Cohomology of Line Bundles: A Computational Algorithm
- A Calabi-Yau Database: Threefolds Constructed from the Kreuzer-Skarke List
- De Sitter String Vacua from Dilaton-dependent Non-perturbative Effects
- Building an explicit de Sitter
- Magnetized E3-brane instantons in F-theory
- A sufficient condition for de Sitter vacua in type IIB string theory
- Evolving neural networks with genetic algorithms to study the String Landscape
- A new perspective on Dark Energy modeling via Genetic Algorithms
- Moduli Stabilisation for Chiral Global Models
- A Profile Likelihood Analysis of the Constrained MSSM with Genetic Algorithms
- Robust Inflation from Fibrous Strings
- Poly-instanton Inflation
- A Geometrical Upper Bound on the Inflaton Range
- D3/D7 Branes at Singularities: Constraints from Global Embedding and Moduli Stabilisation
- Natural Quintessence in String Theory
- Toric K3-Fibred Calabi-Yau Manifolds with del Pezzo Divisors for String Compactifications
- Slow-Roll Inflation in Non-geometric Flux Compactification
- More stable dS vacua from S-dual non-geometric fluxes
- A Note on the Magnitude of the Flux Superpotential
- On Classifying the Divisor Involutions in Calabi-Yau Threefolds
- Genetic Algorithms and the Search for Viable String Vacua
- Global Embedding of Fibre Inflation Models
- Genetic-Algorithm-based Asteroseismological Analysis of the DBV White Dwarf GD 358
- D-Terms from Generalized NS-NS Fluxes in Type II
- Non-standard primordial fluctuations and nongaussianity in string inflation
- Inflation: Moduli Stabilisation and Observable Tensors from Higher Derivatives
- Global Orientifolded Quivers with Inflation
- Genetic Algorithms and Experimental Discrimination of SUSY Models
- Lectures on Mirror Symmetry
- Global optimization of Lipschitz functions
- Chiral Global Embedding of Fibre Inflation Models
- Volume Stabilization via Corrections in Type IIB Theory with Fluxes
- Accelerated Universes from type IIA Compactifications
- Getting CICY High
- Quantum Gravity Constraints on Inflation
- GAz: A Genetic Algorithm for Photometric Redshift Estimation
- A Note on Poly-Instanton Effects in Type IIB Orientifolds on Calabi-Yau Threefolds
- De Sitter Vacua from Non-perturbative Flux Compactifications
- Axions of Evil
- Calabi-Yau Duals of Torus Orientifolds
- Moduli Stabilization and Inflationary Cosmology with Poly-Instantons in Type IIB Orientifolds
- Hodge Numbers for All CICY Quotients
- Computational Tools for Cohomology of Toric Varieties
- F-term Stabilization of Odd Axions in LARGE Volume Scenario
- Freezing E3-brane instantons with fluxes
- Systematics of Aligned Axions
- Dictionary for the type II nongeometric flux compactifications
- Cosmological observables in multi-field inflation with a non-flat field space
- On Non-Gaussianities in Two-Field Poly-Instanton Inflation
- Accidental Inflation from Kähler Uplifting
- The Power of Genetic Algorithms: what remains of the pMSSM?
- Poly-instanton axion inflation
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- The Tadpole Problem
- Control issues of KKLT
- The Standard Model Quiver in de Sitter String Compactifications
- Quintessence and the Swampland: The parametrically controlled regime of moduli space
- On de Sitter String Vacua from Anti-D3-Branes in the Large Volume Scenario
- Moduli Stabilization in Asymptotic Flux Compactifications
- Quintessence and the Swampland: The numerically controlled regime of moduli space
- Systematics of the Expansion in F-Theory
- Systematics of type IIB moduli stabilisation with odd axions
- Evolving Heterotic Gauge Backgrounds: Genetic Algorithms versus Reinforcement Learning
- Quantum Optimisation of Complex Systems with a Quantum Annealer
- Stabilising all Kähler moduli in perturbative LVS
- Moduli Stabilisation and the Statistics of SUSY Breaking in the Landscape
- Note on de Sitter vacua from perturbative and non-perturbative dynamics in type IIB/F-theory compactifications
- Cosmic Inflation and Genetic Algorithms
- The Dark Universe after Reheating in String Inflation
- Systematics of perturbatively flat flux vacua
- Higher Derivative Corrections to String Inflation
- On K3-fibred LARGE Volume Scenario with de Sitter vacua from anti-D3-branes
- Ising Machines for Diophantine Problems in Physics
- On the Search for Low
- Chiral global embedding of Fibre Inflation with uplift
- Classifying divisor topologies for string phenomenology
- Inflating in perturbative LVS: Global Embedding and Robustness
- Analytics of type IIB flux vacua and their mass spectra
- Warming up the Fibres
- Global Embedding of Fibre Inflation in Perturbative LVS
- Taxonomy of scalar potential with U-dual fluxes
- Non-perturbative stabilization of two Kähler moduli in type-IIB/F theory and the inflaton potential
- Joint Statistics of Cosmological Constant and SUSY Breaking in Flux Vacua with Nilpotent Goldstino
- Symplectic formulation of the type IIB scalar potential with U-dual fluxes
- Quadratic curvature corrections to stringy effective actions and the absence of de Sitter vacua
- Testing Swampland Conjectures with Machine Learning
- Assisted Fibre Inflation in Perturbative LVS
- Reading-off the non-geometric scalar potentials with U-dual fluxes
- evortran: a modern Fortran package for genetic algorithms with applications from LHC data fitting to LISA signal reconstruction
- Systematic exploration of the non-geometric flux landscape
- Probing the Structure of String Theory Vacua with Genetic Algorithms and Reinforcement Learning
- Divisor topologies of CICY 3-folds and their applications to phenomenology
- A Database of Calabi-Yau Orientifolds and the Size of D3-Tadpoles