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Generalized Calabi-Yau metric and generalized Monge-Ampere equation
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
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2010 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 8, 060- p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2010. no 8, 060- p.
Keyword [en]
Differential and Algebraic Geometry, Supergravity Models, Sigma Models
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:uu:diva-133603DOI: 10.1007/JHEP08(2010)060ISI: 000282368500006OAI: oai:DiVA.org:uu-133603DiVA: diva2:369992
Available from: 2010-11-12 Created: 2010-11-11 Last updated: 2017-12-12Bibliographically approved

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Lindström, Ulf

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