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

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Authors

VON UNGE Rikard LINDSTRÖM Ulf ZABZINE Maxim ROČEK Martin HULL Chris

Year of publication 2010
Type Article in Periodical
Magazine / Source JOURNAL OF HIGH ENERGY PHYSICS
MU Faculty or unit

Faculty of Science

Citation
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Field Elementary particles and high-energy physics
Keywords Differential and Algebraic Geometry; Supergravity Models; Sigma Models
Description 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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