Generalized Calabi-Yau metric and Generalized Monge-Ampere equation.
| Authors | |
|---|---|
| Year of publication | 2010 |
| Type | Article in Periodical |
| Magazine / Source | JOURNAL OF HIGH ENERGY PHYSICS |
| MU Faculty or unit | |
| Citation | |
| Web | PDF article |
| 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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