Yang-Mills instantons and dyons on homogeneous G_2-manifolds

Details Yang-Mills instantons and dyons on homogeneous G_2-manifolds Yang-Mills instantons and dyons on homogeneous G_2-manifolds

2010-06-11

arxiv.org/abs/1006.2388v1

Physics

High Energy Physics

High Energy Physics - Theory

1+26 pages, 14 figures, 6 miniplots

Scientific paper

We consider Lie G-valued Yang-Mills fields on the space R x G/H, where G/H is a compact nearly K"ahler six-dimensional homogeneous space, and the manifold R x G/H carries a G_2-structure. After imposing a general G-invariance condition, Yang-Mills theory with torsion on R x G/H is reduced to Newtonian mechanics of a particle moving in R^6, R^4 or R^2 under the influence of an inverted double-well-type potential for the cases G/H = SU(3)/U(1)xU(1), Sp(2)/Sp(1)xU(1) or G_2/SU(3), respectively. We analyze all critical points and present analytical and numerical kink- and bounce-type solutions, which yield G-invariant instanton configurations on those cosets. Periodic solutions on S^1 x G/H and dyons on iR x G/H are also given.

Affiliated with

Also associated with

No associations

Rating

Yang-Mills instantons and dyons on homogeneous G_2-manifolds 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 Yang-Mills instantons and dyons on homogeneous G_2-manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Yang-Mills instantons and dyons on homogeneous G_2-manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-644573