Heterotic Non-Kahler Geometries via Polystable Bundles on Calabi-Yau Threefolds

Abstract

In arXiv:1008.1018 it is shown that a given stable vector bundle $V$ on a Calabi-Yau threefold $X$ which satisfies $c_2(X)=c_2(V)$ can be deformed to a solution of the Strominger system and the equations of motion of heterotic string theory. In this note we extend this result to the polystable case and construct explicit examples of polystable bundles on elliptically fibered Calabi-Yau threefolds where it applies. The polystable bundle is given by a spectral cover bundle, for the visible sector, and a suitably chosen bundle, for the hidden sector. This provides a new class of heterotic flux compactifications via non-Kahler deformation of Calabi-Yau geometries with polystable bundles. As an application, we obtain examples of non-Kahler deformations of some three generation GUT models.

12 pages, latex

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Cited by in corpus (21)

• Torsion-free generalized connections and Heterotic Supergravity
• Holomorphic Bundles and the Moduli Space of N=1 Supersymmetric Heterotic Compactifications
• Solutions of the Strominger System via Stable Bundles on Calabi-Yau Threefolds
• Linear Sigma Models with Torsion
• Green-Schwarz Mechanism in Heterotic (2,0) Gauged Linear Sigma Models: Torsion and NS5 Branes
• Heterotic fluxes and supersymmetry
• Lectures on the Strominger system
• Heterotic backgrounds via generalised geometry: moment maps and moduli
• Non-Kaehler Heterotic String Solutions with non-zero fluxes and non-constant dilaton
• Calabi-Yau Manifolds and SU(3) Structure
• Spectral Bundles and the DRY-Conjecture
• Geometric flows and Strominger systems
• The Hull-Strominger system and the Anomaly flow on a class of solvmanifolds
• New curvature flows in complex geometry
• Heterotic String Compactification and New Vector Bundles
• Solutions of Strominger system from unitary representations of cocompact lattices of SL(2,C)
• The Anomaly flow on nilmanifolds
• Higher dimensional generalizations of twistor spaces
• SU(5) Heterotic Standard Model Bundles
• Moduli in General $SU(3)$-Structure Heterotic Compactifications
• The quaternionic Heisenberg group and Heterotic String Solutions with non-constant dilaton in dimensions 7 and 5