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

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

2010-08-05

arxiv.org/abs/1008.1018v2

Mathematics

Differential Geometry

19 pages, latex

Scientific paper

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.

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