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Stable bundle extensions on elliptic Calabi–Yau threefolds

2006/11/30 by Bjorn Andreas, Björn Andreas, Gottfried Curio · 18 citations
Mathematics · Physics and Astronomy · #Anomaly (physics) #Black Holes and Theoretical Physics #Bundle #Calabi–Yau manifold #Canonical bundle #Combinatorics #Constraint (computer-aided design) #F-theory #Fiber bundle #Fibered knot #Geometry #Geometry and complex manifolds #Heterotic string theory #Line bundle #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Normal bundle #Physics #Pure mathematics #Topology (electrical circuits) #Vector bundle #hep-th #math.AG #msc:14J32 #msc:14J60 #msc:81T30 #msc:83E30

paper · pdf · doi:10.1016/j.geomphys.2007.07.007

published in Journal of Geometry and Physics 57(11), 2249-2262 (Elsevier BV) · 18 pages, minor changes

arxiv created 2007/03/16 · openalex publication_date 2007/08/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We construct stable bundle extensions on elliptically fibered Calabi-Yau threefolds. We show that these bundles can solve the topological anomaly constraint in heterotic string theory without the need of invoking background fivebranes.

Citations