Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-10-17
Phys.Lett. B521 (2001) 391-399
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, no figures, LaTeX. More references have been added; but this version differs from the published one
Scientific paper
10.1016/S0370-2693(01)01239-4
In this Letter we establish a relationship between symmetric SU(2) Yang--Mills instantons and metrics with Spin(7)-holonomy. Our method is based on a slight extension of that of Bryant and Salamon developed to construct explicit manifolds with special holonomies in 1989. More precisely, we prove that making use of symmetric SU(2) Yang--Mills instantons on Riemannian spin-manifolds, we can construct metrics on the chiral spinor bundle whose holonomies are within Spin(7). Moreover if the resulting space is connected, simply connected and complete, the holonomy coincides with Spin(7). The basic example is the metric constructed on the chiral spinor bundle of the round four-sphere by using a generic SU(2)-instanton of unit action; hence it is a five-parameter deformation of the Bryant--Salamon example, also found by Gibbons, Page and Pope.
No associations
LandOfFree
Spin(7)-manifolds and symmetric Yang--Mills instantons 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 Spin(7)-manifolds and symmetric Yang--Mills instantons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spin(7)-manifolds and symmetric Yang--Mills instantons will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-347809