1. Institut für Mathematik, Humboldt-Universit?t zu Berlin, Rudower Chaussee 25, 12489, Berlin, Germany 2. Centre for Quantum Geometry of Module Spaces, Aarhus University, Ny Mankegade 118, Bldg. 1530, 8000, Aarhus C, Denmark
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.