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.
Other formats:   BibTeX LaTeX RIS
Basic information
Original name Generalized Calabi-Yau metric and Generalized Monge-Ampere equation.
Name in Czech Zobecněná Calabi-Yau metrické a Zobecněné Monge-Ampere rovnice.
Authors VON UNGE, Rikard (752 Sweden, guarantor, belonging to the institution), Ulf LINDSTRÖM (752 Sweden), Maxim ZABZINE (643 Russian Federation), Martin ROČEK (840 United States of America) and Chris HULL (826 United Kingdom of Great Britain and Northern Ireland).
Edition JOURNAL OF HIGH ENERGY PHYSICS, SPRINGER, 233 SPRING ST, NEW YORK, NY 10, 2010, 1126-6708.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10303 Particles and field physics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW PDF article
Impact factor Impact factor: 6.049
RIV identification code RIV/00216224:14310/10:00047447
Organization unit Faculty of Science
UT WoS 000282368500006
Keywords (in Czech) Diferenciální a algebraické geometrie, Supergravity modely, Sigma modely
Keywords in English Differential and Algebraic Geometry; Supergravity Models; Sigma Models
Changed by Changed by: prof. Rikard von Unge, Ph.D., učo 33259. Changed: 8/3/2011 14:50.
Abstract
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.
Abstract (in Czech)
V okolí pravidelného bodu, generalizované Kahler geometrie připouští, popis, pokud jde o jediné skutečné funkce, zobecněné Kahler potenciál. Studujeme na místní podmínky pro různý celkový Kahler být generalizované Calabi-Yau potrubí a my se pocházet non-lineární PDE, že celkový potenciál Kahler musí splňovat pro to, aby to byla pravda. Tento non-lineární PDE lze chápat jako zobecnění komplexních Monge-Ampere rovnice a její řešení dát supergravity řešení s metrickým, dilaton a H-pole.
Links
MSM0021622409, plan (intention)Name: Matematické struktury a jejich fyzikální aplikace
Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures and their physical applications
PrintDisplayed: 23/7/2024 00:32