Generalized Calabi-Yau metric and generalized Monge-Ampere equation
2010 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 8, 060- p.Article in journal (Refereed) Published
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.
Differential and Algebraic Geometry, Supergravity Models, Sigma Models
IdentifiersURN: urn:nbn:se:uu:diva-133603DOI: 10.1007/JHEP08(2010)060ISI: 000282368500006OAI: oai:DiVA.org:uu-133603DiVA: diva2:369992