A note on EinsteinSasaki metrics in D 7 Academic Article uri icon

abstract

  • In this paper, we obtain new non-singular Einstein-Sasaki spaces in dimensions D 7. The local construction involves taking a circle bundle over a (D - 1)-dimensional Einstein-Khler metric that is itself constructed as a complex line bundle over a product of Einstein-Khler spaces. In general, the resulting Einstein-Sasaki spaces are singular, but if parameters in the local solutions satisfy appropriate rationality conditions, the metrics extend smoothly onto complete and non-singular compact manifolds. The seven-dimensional space, whose base is a complex line bundle over S2 S2, is discussed in detail since it has relevance in terms of the AdS/CFT correspondence. 2005 IOP Publishing Ltd.

published proceedings

  • Classical and Quantum Gravity

author list (cited authors)

  • Chen, W., L, H., Pope, C. N., & Vzquez-Poritz, J. F.

citation count

  • 21

complete list of authors

  • Chen, W||Lü, H||Pope, CN||Vázquez-Poritz, JF

publication date

  • September 2005