Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-11-09
Class.Quant.Grav.27:155018,2010
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, no figures, version appeared in Classical and Quantum Gravity
Scientific paper
10.1088/0264-9381/27/15/155018
Recently, a metric construction for the Calabi-Yau 3-folds 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 fibre coordinates or vanish. In each case, the metric is determined by one 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)\times U(1) or SU(2)\times U(1)^2 isometries.
Lu Hai
Pang Yi
Wang Zhao-Long
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