Stable bundle extensions on elliptic Calabi-Yau threefolds

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.

18 pages, minor changes

References in corpus (5)

• Vector Bundles And F Theory
• Vector Bundles over Elliptic Fibrations
• Chiral matter and transitions in heterotic string models
• On Vector Bundles and Chiral Matter in N=1 Heterotic Compactifications
• Heterotic Models without Fivebranes

Cited by in corpus (11)

• Massless Spectra of Three Generation U(N) Heterotic String Vacua
• Solutions of the Strominger System via Stable Bundles on Calabi-Yau Threefolds
• Heterotic Non-Kahler Geometries via Polystable Bundles on Calabi-Yau Threefolds
• Deformations of Bundles and the Standard Model
• Calabi-Yau Geometries: Algorithms, Databases, and Physics
• Heterotic Models without Fivebranes
• On possible Chern Classes of stable Bundles on Calabi-Yau threefolds
• Spectral Bundles and the DRY-Conjecture
• Extending the Geometry of Heterotic Spectral Cover Constructions
• SU(5) Heterotic Standard Model Bundles
• Stable Sheaves Over K3 Fibrations