Solutions of the Strominger System via Stable Bundles on Calabi-Yau Threefolds

Abstract

We prove that a given Calabi-Yau threefold with a stable holomorphic vector bundle can be perturbed to a solution of the Strominger system provided that the second Chern class of the vector bundle is equal to the second Chern class of the tangent bundle. If the Calabi-Yau threefold has strict SU(3) holonomy then the equations of motion derived from the heterotic string effective action are also satisfied by the solutions we obtain.

19 pages, latex

References in corpus (7)

• Non-Kaehler Heterotic String Compactifications with non-zero fluxes and constant dilaton
• Solutions of the Strominger System via Stable Bundles on Calabi-Yau Threefolds
• Heterotic Non-Kahler Geometries via Polystable Bundles on Calabi-Yau Threefolds
• Stable bundle extensions on elliptic Calabi-Yau threefolds
• Heterotic Models without Fivebranes
• Conformal Field Theory and the Reid Conjecture
• Existence of Hermitian-Yang-Mills metrics under conifold transitions

Cited by in corpus (32)

• Torsion-free generalized connections and Heterotic Supergravity
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• Solutions of the Strominger System via Stable Bundles on Calabi-Yau Threefolds
• Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry
• Invariant Solutions to the Strominger System on Complex Lie Groups and Their Quotients
• The Fu-Yau equation with negative slope parameter
• The Revival of (0,2) Linear Sigma Models
• Green-Schwarz Mechanism in Heterotic (2,0) Gauged Linear Sigma Models: Torsion and NS5 Branes
• A Construction of Non-Kähler Calabi-Yau Manifolds and New Solutions to the Strominger System
• Heterotic Non-Kahler Geometries via Polystable Bundles on Calabi-Yau Threefolds
• Canonical metrics on holomorphic Courant algebroids
• Invariant solutions to the Strominger system and the heterotic equations of motion
• Lectures on the Strominger system
• The Anomaly flow over Riemann surfaces
• Heterotic backgrounds via generalised geometry: moment maps and moduli
• Non-Kaehler Heterotic String Solutions with non-zero fluxes and non-constant dilaton
• Gauge theory for string algebroids
• Heterotic Sigma Models with N=2 Space-Time Supersymmetry
• Monad constructions of omalous bundles
• On possible Chern Classes of stable Bundles on Calabi-Yau threefolds
• Calabi-Yau Manifolds and SU(3) Structure
• Spectral Bundles and the DRY-Conjecture
• The Hull-Strominger system and the Anomaly flow on a class of solvmanifolds
• Geometric flows and Strominger systems
• Special Lagrangian cycles and Calabi-Yau transitions
• New curvature flows in complex geometry
• The Anomaly flow on nilmanifolds
• Solutions of Strominger system from unitary representations of cocompact lattices of SL(2,C)
• Balanced and Aeppli Parameters for the Heterotic Moduli
• Moduli in General $SU(3)$-Structure Heterotic Compactifications
• Blowing up Chern-Ricci flat balanced metrics
• Curvatures of real connections on Hermitian manifolds