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

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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.

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Authors and Affiliations

  1. Institut für Mathematik, Humboldt-Universität zu Berlin, Rudower Chaussee 25, 12489, Berlin, Germany

    Björn Andreas

  2. Centre for Quantum Geometry of Module Spaces, Aarhus University, Ny Mankegade 118, Bldg. 1530, 8000, Aarhus C, Denmark

    Mario Garcia-Fernandez

Authors
  1. Björn Andreas
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  2. Mario Garcia-Fernandez
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Correspondence to Björn Andreas.

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Communicated by N. A. Nekrasov

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Andreas, B., Garcia-Fernandez, M. Solutions of the Strominger System via Stable Bundles on Calabi-Yau Threefolds. Commun. Math. Phys. 315, 153–168 (2012). https://doi.org/10.1007/s00220-012-1509-9

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  • DOI: https://doi.org/10.1007/s00220-012-1509-9

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