Numerical Hermitian Yang-Mills connections and vector bundle stability in heterotic theories

DOI10.1007/JHEP06(2010)107zbMath1288.81086arXiv1004.4399OpenAlexW2097042672MaRDI QIDQ2451825

Volker Braun, Burt A. Ovrut, Robert L. Karp, Lara B. Anderson

Publication date: 4 June 2014

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

Full work available at URL: https://arxiv.org/abs/1004.4399

zbMATH Keywords

superstring vacuasuperstrings and heterotic stringsdifferential and algebraic geometry

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items

Machine learning line bundle connections ⋮ Matter field Kähler metric in heterotic string theory from localisation ⋮ Hermitian Yang-Mills connections on blowups ⋮ Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces ⋮ Neural network approximations for Calabi-Yau metrics ⋮ Stabilizing the complex structure in heterotic Calabi-Yau vacua ⋮ Eigenvalues and eigenforms on Calabi-Yau threefolds ⋮ New evidence for (0,2) target space duality ⋮ Calabi-Yau metrics and string compactification ⋮ Higgs multiplets in heterotic GUT models ⋮ The Atiyah class and complex structure stabilization in heterotic Calabi-Yau compactifications ⋮ Transitions in the web of heterotic vacua ⋮ Chern-Simons invariants and heterotic superpotentials ⋮ Moduli restriction and chiral matter in heterotic string compactifications ⋮ Numerical Hermitian Yang-Mills connections and Kähler cone substructure ⋮ Moduli-dependent Calabi-Yau and SU(3)-structure metrics from machine learning ⋮ Generalized vanishing theorems for Yukawa couplings in heterotic compactifications ⋮ Numerical metrics, curvature expansions and Calabi-Yau manifolds ⋮ Yukawa textures from singular spectral data

Uses Software

• Plural
• SINGULAR
• STRINGVACUA
• Fermat.m

Cites Work

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