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

TL;DR

This paper demonstrates that stable holomorphic vector bundles on Calabi-Yau threefolds can be perturbed to solve the Strominger system, satisfying string theory equations under specific topological conditions.

Contribution

It establishes a method to construct solutions to the Strominger system using stable bundles with matching second Chern classes on Calabi-Yau threefolds.

Findings

Solutions satisfy the Strominger system equations

Solutions also satisfy heterotic string equations of motion

Applicable to Calabi-Yau threefolds with strict SU(3) holonomy

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.