VON UNGE, Rikard, Ulf LINDSTRÖM, Maxim ZABZINE, Martin ROČEK and Chris HULL. Generalized Calabi-Yau metric and Generalized Monge-Ampere equation. JOURNAL OF HIGH ENERGY PHYSICS. SPRINGER, 233 SPRING ST, NEW YORK, NY 10, 2010, vol. 2010, No 8, 27 pp. ISSN 1126-6708. |
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@article{929390, author = {von Unge, Rikard and Lindström, Ulf and Zabzine, Maxim and Roček, Martin and Hull, Chris}, article_number = {8}, keywords = {Differential and Algebraic Geometry; Supergravity Models; Sigma Models}, language = {eng}, issn = {1126-6708}, journal = {JOURNAL OF HIGH ENERGY PHYSICS}, title = {Generalized Calabi-Yau metric and Generalized Monge-Ampere equation.}, url = {http://arXiv.org/pdf/1005.5658}, volume = {2010}, year = {2010} }
TY - JOUR ID - 929390 AU - von Unge, Rikard - Lindström, Ulf - Zabzine, Maxim - Roček, Martin - Hull, Chris PY - 2010 TI - Generalized Calabi-Yau metric and Generalized Monge-Ampere equation. JF - JOURNAL OF HIGH ENERGY PHYSICS VL - 2010 IS - 8 PB - SPRINGER, 233 SPRING ST, NEW YORK, NY 10 SN - 11266708 KW - Differential and Algebraic Geometry KW - Supergravity Models KW - Sigma Models UR - http://arXiv.org/pdf/1005.5658 N2 - 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. ER -
VON UNGE, Rikard, Ulf LINDSTRÖM, Maxim ZABZINE, Martin ROČEK and Chris HULL. Generalized Calabi-Yau metric and Generalized Monge-Ampere equation. \textit{JOURNAL OF HIGH ENERGY PHYSICS}. SPRINGER, 233 SPRING ST, NEW YORK, NY 10, 2010, vol.~2010, No~8, 27 pp. ISSN~1126-6708.
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