Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-08-28
Commun.Math.Phys.275:373-400,2007
Physics
High Energy Physics
High Energy Physics - Theory
27 pages. Typos corrected. Accepted for publication in Commun.Math.Phys
Scientific paper
10.1007/s00220-007-0300-9
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.
Giribet Gastón
Santillan Osvaldo P.
No associations
LandOfFree
Toric G_2 and Spin(7) holonomy spaces from gravitational instantons and other examples does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Toric G_2 and Spin(7) holonomy spaces from gravitational instantons and other examples, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Toric G_2 and Spin(7) holonomy spaces from gravitational instantons and other examples will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-106172