Heterotic horizons, Monge-Ampère equation and del Pezzo surfaces

@article{Gutowski2010HeteroticHM,
  title={Heterotic horizons, Monge-Amp{\`e}re equation and del Pezzo surfaces},
  author={J. Gutowski and G. Papadopoulos},
  journal={Journal of High Energy Physics},
  year={2010},
  volume={2010},
  pages={1-34}
}
  • J. Gutowski, G. Papadopoulos
  • Published 2010
  • Physics, Mathematics
  • Journal of High Energy Physics
  • Heterotic horizons preserving 4 supersymmetries have sections which are T2 fibrations over 6-dimensional conformally balanced Hermitian manifolds. We give new examples of horizons with sections S3 × S3 × T2 and SU(3). We then examine the heterotic horizons which are T4 fibrations over a Kähler 4-dimensional manifold. We prove that the solutions depend on 6 functions which are determined by a non-linear differential system of 6 equations that include the Monge-Ampére equation. We show that this… CONTINUE READING
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    References

    SHOWING 1-10 OF 49 REFERENCES
    Hyper-Kähler manifolds and multiply intersecting branes
    • 171
    • PDF
    Borcherds symmetries in M theory
    • 63
    • PDF
    A Generalization of Hawking’s Black Hole Topology Theorem to Higher Dimensions
    • 218
    • PDF
    Heterotic supersymmetric backgrounds with compact holonomy revisited
    • 17
    • PDF
    An Infinite Class of Extremal Horizons in Higher Dimensions
    • 26
    • PDF
    A mysterious duality
    • 65
    • PDF
    Heterotic black horizons
    • 32
    • PDF
    Geometric Model for Complex Non-Kähler Manifolds with SU (3) Structure
    • 166
    • PDF