Toric G_2 and Spin(7) holonomy spaces from gravitational instantons and other examples
arXiv:hep-th/0608192 · doi:10.1007/s00220-007-0300-9
Abstract
Non-compact G_2 holonomy metrics that arise from a T^2 bundle over a hyper-Kahler space are discussed. These are one parameter deformations of the metrics studied by Gibbons, Lu, Pope and Stelle in hep-th/0108191. Seven-dimensional spaces with G_2 holonomy fibered over the Taub-Nut and the Eguchi-Hanson gravitational instantons are found, together with other examples. By considering the Apostolov-Salamon theorem math.DG/0303197, we construct a new example that, still being a T^2 bundle over hyper-Kahler, represents a non trivial two parameter deformation of the metrics studied in hep-th/0108191. We then review the Spin(7) metrics arising from a T^3 bundle over a hyper-Kahler and we find two parameter deformation of such spaces as well. We show that if the hyper-Kahler base satisfies certain properties, a non trivial three parameter deformations is also possible. The relation between these spaces with the half-flat structures and almost G_2 holonomy spaces is briefly discussed.
arXiv comment27 pages. Typos corrected. Accepted for publication in Commun.Math.Phys
References in corpus (32)
- Axions In String Theory
- Non-Kaehler String Backgrounds and their Five Torsion Classes
- General Concentric Black Rings
- Black Rings
- Summing up D-Instantons
- Chiral Fermions from Manifolds of Holonomy
- Gauge Theory at Large N and New G_2 Holonomy Metrics
- Concentric Black Rings
- Cohomogeneity One Manifolds of Spin(7) and G(2) Holonomy
- Heterotic on Half-flat
- Type IIB Theory on Half-flat Manifolds
- Kaluza-Klein bundles and manifolds of exceptional holonomy
- A G_2 Unification of the Deformed and Resolved Conifolds
- Kaehler reduction of metrics with holonomy G_2
- Supersymmetric compactifications of heterotic strings with fluxes and condensates
- Hyperkahler Metrics from Periodic Monopoles
- Supersymmetric Domain Walls from Metrics of Special Holonomy
- Rotating membranes on G_2 manifolds, logarithmic anomalous dimensions and N=1 duality
- General Metrics of G_2 Holonomy and Contraction Limits
- Orientifolds and Slumps in G_2 and Spin(7) Metrics
- Anomaly Cancellation On Manifolds Of G_2 Holonomy
- Holomorphic potentials for graded D-branes
- Bianchi IX Self-dual Einstein Metrics and Singular G_2 Manifolds
- Intersecting 6-branes from new 7-manifolds with G_2 holonomy
- M-theory compactifications on certain `toric' cones of holonomy
- Let's Twist Again: General Metrics of G(2) Holonomy from Gauged Supergravity
- A four dimensional example of Ricci-flat metric admitting almost-Kähler non-Káhler structure
- Singular 7-manifolds with G_2 holonomy and intersecting 6-branes
- TASI lectures: special holonomy in string theory and M-theory
- A construction of G_2 holonomy spaces with torus symmetry
- Enhanced gauge symmetry from `toric' G_2 cones
- New G2 holonomy metrics, D6 branes with inherent U(1)xU(1) isometry and gamma-deformations
Cited by in corpus (8)
- Multi-moment maps
- Einstein Metrics from Symmetry and Bundle Constructions: A Sequel
- New Spin(7) holonomy metrics admiting G2 holonomy reductions and M-theory/IIA dualities
- Spin(7)-manifolds with three-torus symmetry
- Exact helicoidal and catenoidal solutions in Einstein-Maxwell theory
- Higher-curvature generalization of Eguchi-Hanson spaces
- Constructing Calabi-Yau Metrics From Hyperkahler Spaces
- NUT Solutions in Einstein-Maxwell-scalar-Gauss-Bonnet Gravity