Applying machine learning to the Calabi-Yau orientifolds with string vacua

Abstract

We use the machine learning technique to search the polytope which can result in an orientifold Calabi-Yau hypersurface and the "naive Type IIB string vacua". We show that neural networks can be trained to give a high accuracy for classifying the orientifold property and vacua based on the newly generated orientifold Calabi-Yau database with $h^{1,1}(X)\le 6$ arXiv:2111.03078. This indicates the orientifold symmetry may already be encoded in the polytope structure. In the end, we try to use the trained neural networks model to go beyond the database and predict the orientifold signal of polytope for higher $h^{1,1}(X)$.

arXiv comment27 pages, 4 figures, 3 tables

References in corpus (44)

• TensorFlow: Large-Scale Machine Learning on Heterogeneous Distributed Systems
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• PALP: A Package for Analyzing Lattice Polytopes with Applications to Toric Geometry
• Machine Learning in the String Landscape
• Machine Learning of Calabi-Yau Volumes
• Cohomology of Line Bundles: A Computational Algorithm
• A Calabi-Yau Database: Threefolds Constructed from the Kreuzer-Skarke List
• On Free Quotients of Complete Intersection Calabi-Yau Manifolds
• Evolving neural networks with genetic algorithms to study the String Landscape
• Machine Learning CICY Threefolds
• Branes with Brains: Exploring String Vacua with Deep Reinforcement Learning
• Fibrations in CICY Threefolds
• All Complete Intersection Calabi-Yau Four-Folds
• On String Theory Expectations for Photon Couplings to Axion-Like Particles
• Machine Learning Line Bundle Cohomologies of Hypersurfaces in Toric Varieties
• A New Construction of Calabi-Yau Manifolds: Generalized CICYs
• On Classifying the Divisor Involutions in Calabi-Yau Threefolds
• Searching the Landscape of Flux Vacua with Genetic Algorithms
• Machine Learning Line Bundle Cohomology
• Heavy Tails in Calabi-Yau Moduli Spaces
• A landscape of orientifold vacua
• Machine Learning Calabi-Yau Four-folds
• Systematics of Axion Inflation in Calabi-Yau Hypersurfaces
• Machine learning for complete intersection Calabi-Yau manifolds: a methodological study
• Systematics of type IIB moduli stabilisation with odd axions
• Hodge Numbers for All CICY Quotients
• Calabi-Yau Manifolds with Large Volume Vacua
• Estimating Calabi-Yau Hypersurface and Triangulation Counts with Equation Learners
• Evolving Heterotic Gauge Backgrounds: Genetic Algorithms versus Reinforcement Learning
• F-term Stabilization of Odd Axions in LARGE Volume Scenario
• Deep learning and k-means clustering in heterotic string vacua with line bundles
• Orientifold Calabi-Yau Threefolds with Divisor Involutions and String Landscape
• Revealing systematics in phenomenologically viable flux vacua with reinforcement learning
• Numerical Calabi-Yau metrics from holomorphic networks
• Machine Learning and Algebraic Approaches towards Complete Matter Spectra in 4d F-theory
• Hodge Numbers for CICYs with Symmetries of Order Divisible by 4
• Heterotic String Model Building with Monad Bundles and Reinforcement Learning
• Learning non-Higgsable gauge groups in 4D F-theory
• Thraxions: Towards Full String Models
• New Large Volume Solutions
• Machine Learning Line Bundle Connections
• Polytopes and Machine Learning
• Kahler Moduli Inflation in Type IIB Compactifications: A random tumble through the Calabi-Yau landscape
• Universes as Big Data

Cited by in corpus (12)

• The LVS Parametric Tadpole Constraint
• Machine Learning Calabi-Yau Hypersurfaces
• Orientifold Calabi-Yau Threefolds with Divisor Involutions and String Landscape
• On K3-fibred LARGE Volume Scenario with de Sitter vacua from anti-D3-branes
• Higher Derivative Corrections to String Inflation
• Classifying divisor topologies for string phenomenology
• Cluster Algebras: Network Science and Machine Learning
• Systematics of perturbatively flat flux vacua for CICYs
• Machine Learning on generalized Complete Intersection Calabi-Yau Manifolds
• Calabi-Yau Four/Five/Six-folds as ${\mathbb{P}}_{\text{w}}^n$ Hypersurfaces: Machine Learning, Approximation, and Generation
• Divisor topologies of CICY 3-folds and their applications to phenomenology
• A Database of Calabi-Yau Orientifolds and the Size of D3-Tadpoles