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Non-Kaehler Heterotic String Compactifications with Non-Zero Fluxes and Constant Dilaton

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Abstract

We construct new explicit compact supersymmetric valid solutions with non-zero field strength, non-flat instanton and constant dilaton to the heterotic equations of motion in dimension six. We present balanced Hermitian structures on compact nilmanifolds in dimension six satisfying the heterotic supersymmetry equations with non-zero flux, non-flat instanton and constant dilaton which obey the three-form Bianchi identity with curvature term taken with respect to either the Levi-Civita, the (+)-connection or the Chern connection. Among them, all our solutions with respect to the (+)-connection on the compact nilmanifold M 3 satisfy the heterotic equations of motion.

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Authors and Affiliations

  1. Universidad del País Vasco, Facultad de Ciencia y Tecnología, Departamento de Matemáticas, Apartado 644, 48080, Bilbao, Spain

    Marisa Fernández

  2. University of Sofia “St. Kl. Ohridski”, Faculty of Mathematics and Informatics, Blvd. James Bourchier 5, 1164, Sofia, Bulgaria

    Stefan Ivanov

  3. Departamento de Matemáticas - I.U.M.A, Universidad de Zaragoza, Campus Plaza San Francisco, 50009, Zaragoza, Spain

    Luis Ugarte & Raquel Villacampa

Authors
  1. Marisa Fernández
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  2. Stefan Ivanov
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  3. Luis Ugarte
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  4. Raquel Villacampa
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Correspondence to Stefan Ivanov.

Additional information

Communicated by G. W. Gibbons

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Fernández, M., Ivanov, S., Ugarte, L. et al. Non-Kaehler Heterotic String Compactifications with Non-Zero Fluxes and Constant Dilaton. Commun. Math. Phys. 288, 677–697 (2009). https://doi.org/10.1007/s00220-008-0714-z

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  • DOI: https://doi.org/10.1007/s00220-008-0714-z

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