A Note on Einstein Sasaki Metrics in D \ge 7
arXiv:hep-th/0411218 · doi:10.1088/0264-9381/22/17/004
Abstract
In this paper, we obtain new non-singular Einstein-Sasaki spaces in dimensions D\ge 7. The local construction involves taking a circle bundle over a (D-1)-dimensional Einstein-Kahler metric that is itself constructed as a complex line bundle over a product of Einstein-Kahler 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.
Latex, 13 pages
References in corpus (5)
- Bohm and Einstein-Sasaki Metrics, Black Holes and Cosmological Event Horizons
- Ricci-flat Metrics, Harmonic Forms and Brane Resolutions
- Bianchi IX Self-dual Einstein Metrics and Singular G_2 Manifolds
- Supersymmetric AdS Backgrounds in String and M-theory
- Seven-dimensional Einstein Manifolds from Tod-Hitchin Geometry
Cited by in corpus (24)
- An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals
- Sasaki-Einstein Manifolds and Volume Minimisation
- The Geometric Dual of a-maximisation for Toric Sasaki-Einstein Manifolds
- General Kerr-NUT-AdS Metrics in All Dimensions
- Toric Sasaki-Einstein metrics on S^2 x S^3
- Supersymmetric AdS_5 Solutions of Type IIB Supergravity
- Brane Tilings and Their Applications
- Notes on toric Sasaki-Einstein seven-manifolds and AdS_4/CFT_3
- Marginal Deformations of Field Theories with AdS_4 Duals
- New Multiply Nutty Spacetimes
- Resolutions of non-regular Ricci-flat Kahler cones
- New Einstein-Sasaki and Einstein Spaces from Kerr-de Sitter
- New Taub-NUT-Reissner-Nordström spaces in higher dimensions
- Toric Fano varieties and Chern-Simons quivers
- Resolutions of Cones over Einstein-Sasaki Spaces
- A massive class of AdS IIA solutions
- A New Construction of Einstein-Sasaki Metrics in D >= 7
- On the supersymmetric limit of Kerr-NUT-AdS metrics
- Parameter spaces of massive IIA solutions
- Beta, Dipole and Noncommutative Deformations of M-theory Backgrounds with One or More Parameters
- Deformations of flows from type IIB supergravity
- New non compact Calabi-Yau metrics in D=6
- Brane Resolution Through Fibration
- Complete Calabi-Yau metrics from Kahler metrics in D=4