Numerical solution to the hermitian Yang-Mills equation on the Fermat quintic

DOI10.1088/1126-6708/2007/12/083zbMath1246.14052arXivhep-th/0606261OpenAlexW3099307255MaRDI QIDQ446676

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

Publication date: 8 September 2012

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

Full work available at URL: https://arxiv.org/abs/hep-th/0606261

zbMATH Keywords

hermitian Yang-Mills equation

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Relationships between surfaces, higher-dimensional varieties, and physics (14J81) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Kähler-Einstein manifolds (32Q20) Approximation algorithms (68W25)

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Cites Work

• Unnamed Item
• Canonical metrics on stable vector bundles
• Scalar curvature and projective embeddings, II
• On the lower order terms of the asymptotic expansion of Tian-Yau-Zelditch
• Numerical Ricci-flat metrics on K3