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Lue, H.; Pang, Yi; Wang, Zhao-Long; Lu, H , Cent Univ Finance & Econ, China Econ & Management Acad, Beijing 100081, Peoples R China
Constructing Calabi-Yau metrics from hyperkahler spaces
Source PublicationCLASSICAL AND QUANTUM GRAVITY
KeywordEinstein-metrics Spin(7) Manifolds Holonomy Spaces g(2) Holonomy Su(3)/u(1) Dimensions Cones
AbstractRecently, a metric construction for Calabi-Yau threefolds from a four-dimensional hyperkahler space by adding a complex line bundle was proposed. We extend the construction by adding a U(1) factor to the holomorphic (3, 0)-form and obtain the explicit formalism for a generic hyperkahler base. We find that a discrete choice arises: the U(1) factor can either depend solely on the fiber coordinates or vanish. In each case, the metric is determined by a differential equation for the modified Kahler potential. As explicit examples, we obtain the generalized resolutions (up to orbifold singularity) of the cone of the Einstein-Sasaki spaces Y(p,q). We also obtain a large class of new singular CY3 metrics with SU(2) x U(1) or SU(2) x U(1)(2) isometries.
2010
ISSN0264-9381
Volume27Issue:15Pages:-
Subject AreaPhysics
Indexed BySCI
Funding OrganizationChinese Academy of Sciences; 973 Program[2007CB815401]; NSF of China[10588503, 10535060] ; Chinese Academy of Sciences; 973 Program[2007CB815401]; NSF of China[10588503, 10535060] ; Chinese Academy of Sciences; 973 Program[2007CB815401]; NSF of China[10588503, 10535060] ; Chinese Academy of Sciences; 973 Program[2007CB815401]; NSF of China[10588503, 10535060]
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Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5066
Collection理论物理所科研产出_SCI论文
Corresponding AuthorLu, H , Cent Univ Finance & Econ, China Econ & Management Acad, Beijing 100081, Peoples R China
Recommended Citation
GB/T 7714
Lue, H.,Pang, Yi,Wang, Zhao-Long,et al. Constructing Calabi-Yau metrics from hyperkahler spaces[J]. CLASSICAL AND QUANTUM GRAVITY,2010,27(15):-.
APA Lue, H.,Pang, Yi,Wang, Zhao-Long,&Lu, H , Cent Univ Finance & Econ, China Econ & Management Acad, Beijing 100081, Peoples R China.(2010).Constructing Calabi-Yau metrics from hyperkahler spaces.CLASSICAL AND QUANTUM GRAVITY,27(15),-.
MLA Lue, H.,et al."Constructing Calabi-Yau metrics from hyperkahler spaces".CLASSICAL AND QUANTUM GRAVITY 27.15(2010):-.
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