Constructing Calabi-Yau metrics from hyperkahler spaces

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	Constructing Calabi-Yau metrics from hyperkahler spaces
	Lue, H.; Pang, Yi; Wang, Zhao-Long; Lu, H , Cent Univ Finance & Econ, China Econ & Management Acad, Beijing 100081, Peoples R China
刊名	CLASSICAL AND QUANTUM GRAVITY
	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
ISSN号	0264-9381
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.
学科主题	Physics
URL标识	查看原文
WOS记录号	WOS:000279157800020
公开日期	2012-08-02
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/5066]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	Lu, H , Cent Univ Finance & Econ, China Econ & Management Acad, Beijing 100081, Peoples R China
推荐引用方式 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):-.