2010

Heterotic horizons, Monge-Ampere equation and del Pezzo surfaces

Gutowski, J., Papadopoulos, G.

Understand

Heterotic horizons preserving 4 supersymmetries have sections which are T^2 fibrations over 6-dimensional conformally balanced Hermitian manifolds.

We give new examples of horizons with sections S^3 X S^3 X T^2 and SU(3).
We then examine the heterotic horizons which are T^4 fibrations over a Kahler 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-Ampere equation.

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