Calabi-Yau (p+1)-folds from p-folds

Details Calabi-Yau (p+1)-folds from p-folds Calabi-Yau (p+1)-folds from p-folds

2010-04-20

arxiv.org/abs/1004.3468v1

J.Geom.Phys.60:1741,2010

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, no figures

Scientific paper

10.1016/j.geomphys.2010.06.011

We establish the general formalism for constructing metrics of Calabi-Yau (p+1)-folds in terms of that of a p-fold by adding a complex-line bundle. We present a few explicit low-lying examples. We further consider holomorphic linearization and obtain the six-dimensional analogue of the Gibbons-Hawking instanton. Whilst the Kahler potential for the Gibbons-Hawking instanton is given by the harmonic function of a three-dimensional flat space, for the generalized solution it is related to the harmonic functions of certain three-dimensional non-flat spaces that are direct products of R and two-dimensional Kahler spaces.

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