Exploring a new peak in the heterotic landscape

Abstract

We study the existence of realistic heterotic vacua on a new Abelian surface fibered Calabi-Yau threefold X with Z_8 x Z_8 fundamental group. Our main result is a no-go theorem, which says that (under mild assumptions) there is no stable holomorphic vector bundle on X satisfying the constraints required by global consistency of the heterotic vacuum and phenomenology. To prove the theorem we explore in some detail the Fourier-Mukai transform of vector bundles on Abelian surface fibrations.

35 pages, v2: minor modifications in section 4

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Cited by in corpus (8)

• Exploring Positive Monad Bundles And A New Heterotic Standard Model
• Gauged Linear Sigma Models for toroidal orbifold resolutions
• The Expanding Zoo of Calabi-Yau Threefolds
• The Spectral Construction for a (1,8)-Polarized Family of Abelian Varieties
• Towards Geometric D6-Brane Model Building on non-Factorisable Toroidal ${\mathbb{Z}}_4$-Orbifolds
• Moduli restriction and Chiral Matter in Heterotic String Compactifications
• Higgs Multiplets in Heterotic GUT Models
• Constraints on heterotic M-theory from s-cobordism