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题名: Constructing Calabi-Yau metrics from hyperkahler spaces
作者: Lue, H. ;  Pang, Yi ;  Wang, Zhao-Long
刊名: CLASSICAL AND QUANTUM GRAVITY
出版日期: 2010
卷号: 27, 期号:15, 页码:-
关键词: EINSTEIN-METRICS ;  SPIN(7) MANIFOLDS ;  HOLONOMY SPACES ;  G(2) HOLONOMY ;  SU(3)/U(1) ;  DIMENSIONS ;  CONES
学科分类: Physics
通讯作者: Lu, H , Cent Univ Finance & Econ, China Econ & Management Acad, Beijing 100081, Peoples R China
部门归属: [Lu, H] Cent Univ Finance & Econ, China Econ & Management Acad, Beijing 100081, Peoples R China; [Pang, Y] Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China; [Wang, ZL] Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China
英文摘要: Recently, 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.
资助者: Chinese Academy of Sciences; 973 Program[2007CB815401]; NSF of China[10588503, 10535060]
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000279157800020
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/5066
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Lue, H.,Pang, Yi,Wang, Zhao-Long. Constructing Calabi-Yau metrics from hyperkahler spaces[J]. CLASSICAL AND QUANTUM GRAVITY,2010,27(15):-.
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