Generalized Calabi-Yau metric and Generalized Monge-Ampere equation

Details Generalized Calabi-Yau metric and Generalized Monge-Ampere equation Generalized Calabi-Yau metric and Generalized Monge-Ampere equation

2010-05-31

arxiv.org/abs/1005.5658v1

JHEP 1008:060,2010

Physics

High Energy Physics

High Energy Physics - Theory

26 pages

Scientific paper

10.1007/JHEP08(2010)060

In the neighborhood of a regular point, generalized Kahler geometry admits a description in terms of a single real function, the generalized Kahler potential. We study the local conditions for a generalized Kahler manifold to be a generalized Calabi-Yau manifold and we derive a non-linear PDE that the generalized Kahler potential has to satisfy for this to be true. This non-linear PDE can be understood as a generalization of the complex Monge-Ampere equation and its solutions give supergravity solutions with metric, dilaton and H-field.

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