Calabi-Yau Metrics, Energy Functionals and Machine-Learning
arXiv:2112.10872 · doi:10.1142/S2810939222500034
Abstract
We apply machine learning to the problem of finding numerical Calabi-Yau metrics. We extend previous work on learning approximate Ricci-flat metrics calculated using Donaldson's algorithm to the much more accurate "optimal" metrics of Headrick and Nassar. We show that machine learning is able to predict the Kähler potential of a Calabi-Yau metric having seen only a small sample of training data.
arXiv comment7 pages, 5 figures
References in corpus (27)
- Heterotic and Type I String Dynamics from Eleven Dimensions
- Eleven-Dimensional Supergravity on a Manifold with Boundary
- The Universe as a Domain Wall
- Heterotic M-theory in Five Dimensions
- An SU(5) Heterotic Standard Model
- A Heterotic Standard Model
- On the Four-Dimensional Effective Action of Strongly Coupled Heterotic String Theory
- Heterotic Line Bundle Standard Models
- The Exact MSSM Spectrum from String Theory
- Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds
- Exploring Positive Monad Bundles And A New Heterotic Standard Model
- A Standard Model from the E8 x E8 Heterotic Superstring
- A Comprehensive Scan for Heterotic SU(5) GUT models
- Machine Learning in the String Landscape
- Machine Learning of Calabi-Yau Volumes
- Evolving neural networks with genetic algorithms to study the String Landscape
- Numerical Calabi-Yau metrics
- Calabi-Yau Metrics for Quotients and Complete Intersections
- Numerical Ricci-flat metrics on K3
- Eigenvalues and Eigenfunctions of the Scalar Laplace Operator on Calabi-Yau Manifolds
- Machine learning Calabi-Yau metrics
- Counting String Theory Standard Models
- The MSSM Spectrum from (0,2)-Deformations of the Heterotic Standard Embedding
- (MS)SM-like models on smooth Calabi-Yau manifolds from all three heterotic string theories
- Infinite number of MSSMs from heterotic line bundles?
- Moduli-dependent KK towers and the swampland distance conjecture on the quintic Calabi-Yau manifold
- Heterotic Line Bundle Models on Elliptically Fibered Calabi-Yau Three-folds