Heterotic String Compactification and New Vector Bundles

Abstract

We propose a construction of Kähler and non-Kähler Calabi-Yau manifolds by branched double covers of twistor spaces. In this construction we use the twistor spaces of four-manifolds with self-dual conformal structures, with the examples of connected sum of $n$ ${\mathbb{P}}^2$s. We also construct $K3$-fibered Calabi-Yau manifolds from the branched double covers of the blow-ups of the twistor spaces. These manifolds can be used in heterotic string compactifications to four dimensions. We also construct stable and polystable vector bundles. Some classes of these vector bundles can give rise to supersymmetric grand unified models with three generations of quarks and leptons in four dimensions.

25 pages

References in corpus (7)

• GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
• The Heterotic Road to the MSSM with R parity
• Heterotic GUT and Standard Model Vacua from simply connected Calabi-Yau Manifolds
• Anomaly Cancellation and Smooth Non-Kahler Solutions in Heterotic String Theory
• Torsional Heterotic Geometries
• Tri-linear Couplings in an Heterotic Minimal Supersymmetric Standard Model
• Extremal Bundles on Calabi-Yau Threefolds

Cited by in corpus (4)

• A Construction of Non-Kähler Calabi-Yau Manifolds and New Solutions to the Strominger System
• Holomorphic string algebroids
• Calabi-Yau generalized complete intersections and aspects of cohomology of sheaves
• Higher dimensional generalizations of twistor spaces