Heterotic horizons, Monge-Ampère equation and del Pezzo surfaces

  title={Heterotic horizons, Monge-Amp{\`e}re equation and del Pezzo surfaces},
  author={J. Gutowski and G. Papadopoulos},
  journal={Journal of High Energy Physics},
  • 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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