Numerical Calabi–Yau metrics

DOI10.1063/1.2888403zbMath1153.81351arXivhep-th/0612075OpenAlexW2159898363MaRDI QIDQ3544656

Sergio Lukic, Robert L. Karp, René Reinbacher, Michael R. Douglas

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0612075

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Approximation algorithms (68W25) Software, source code, etc. for problems pertaining to several complex variables and analytic spaces (32-04)

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Machine learning line bundle connections, Balanced embedding of degenerating Abelian varieties, Bootstrap bounds on closed Einstein manifolds, Quantisation of extremal Kähler metrics, Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces, Neural network approximations for Calabi-Yau metrics, Machine Learning Calabi–Yau Metrics, The Sinkhorn algorithm, parabolic optimal transport and geometric Monge-Ampère equations, Eigenvalues and eigenforms on Calabi-Yau threefolds, Level crossings, attractor points and complex multiplication, New evidence for (0,2) target space duality, Calabi-Yau metrics and string compactification, Numerical Hermitian Yang-Mills connections and vector bundle stability in heterotic theories, Yukawa textures from heterotic stability walls, Calabi-Yau manifolds and SU(3) structure, \((2,2)\) superconformal bootstrap in two dimensions, \( \mathcal{N} =4 \) superconformal bootstrap of the \(K3\) CFT, Chern-Simons invariants and heterotic superpotentials, Numerical Hermitian Yang-Mills connections and Kähler cone substructure, Bergman kernel from path integral, Yukawa couplings in heterotic compactification, Symmetry breaking bulk effects in local D-brane models, Moduli-dependent Calabi-Yau and SU(3)-structure metrics from machine learning, Generalized vanishing theorems for Yukawa couplings in heterotic compactifications, Unitarization from geometry, Numerical metrics, curvature expansions and Calabi-Yau manifolds, Yukawa textures from singular spectral data, Calabi-Yau CFTs and random matrices, Numerical Weil-Petersson metrics on moduli spaces of Calabi-Yau manifolds

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