Calabi-Yau (p+1)-folds from p-folds
arXiv:1004.3468 · doi:10.1016/j.geomphys.2010.06.011
Abstract
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.
arXiv comment21 pages, no figures
References in corpus (9)
- New Einstein-Sasaki Spaces in Five and Higher Dimensions
- General Kerr-NUT-AdS Metrics in All Dimensions
- Toric Sasaki-Einstein metrics on S^2 x S^3
- Kerr-de Sitter Black Holes with NUT Charges
- New Einstein-Sasaki and Einstein Spaces from Kerr-de Sitter
- Resolutions of Cones over Einstein-Sasaki Spaces
- Calabi-Yau 3-folds from 2-folds
- New non compact Calabi-Yau metrics in D=6
- Constructing Calabi-Yau Metrics From Hyperkahler Spaces