Deep learning and k-means clustering in heterotic string vacua with line bundles

DOI10.1007/JHEP05(2020)047zbMath1437.83145arXiv2003.11880MaRDI QIDQ779316

Hajime Otsuka, Kenta Takemoto

Publication date: 21 July 2020

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.11880

zbMATH Keywords

superstring vacuasuperstrings and heterotic strings

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25)

Related Items

On the Search for Low W₀, Upper bound on the Atiyah-Singer index from tadpole cancellation, Eigenvalues and eigenforms on Calabi-Yau threefolds, 134 billion intersecting brane models, Generalized vanishing theorems for Yukawa couplings in heterotic compactifications, Heterotic line bundle models on generalized complete intersection Calabi Yau manifolds, Algorithmically solving the tadpole problem

Uses Software

• Scikit
• darch
• TensorFlow
• k-means++

Cites Work

• Unnamed Item
• Unnamed Item
• Guts and exceptional branes in F-theory. II: Experimental predictions
• On free quotients of complete intersection Calabi-Yau manifolds
• Heterotic GUT and standard model vacua from simply connected Calabi--Yau manifolds
• D-branes and \(K\)-theory
• SO(32) heterotic standard model vacua in general Calabi-Yau compactifications
• SO(32) heterotic line bundle models
• Evolving neural networks with genetic algorithms to study the string landscape
• Machine learning in the string landscape
• Deep learning in the heterotic orbifold landscape
• Heterotic line bundle standard models
• Breaking GUT groups in \(F\)-theory
• Data science applications to string theory
• Getting CICY high
• Searching the landscape of flux vacua with genetic algorithms
• Branes with brains: exploring string vacua with deep reinforcement learning
• Realistic three-generation models from \(\mathrm{SO}(32)\) heterotic string theory
• Reducing the Dimensionality of Data with Neural Networks
• Hilbert's Tenth Problem is Unsolvable
• On Information and Sufficiency
• D-brane probes, RR tadpole cancellation and \(K\)-theory charge