Yang-Mills instantons and dyons on homogeneous G_2-manifolds
Abstract
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.
Keywords
Cite
@article{arxiv.1006.2388,
title = {Yang-Mills instantons and dyons on homogeneous G_2-manifolds},
author = {Irina Bauer and Tatiana A. Ivanova and Olaf Lechtenfeld and Felix Lubbe},
journal= {arXiv preprint arXiv:1006.2388},
year = {2014}
}
Comments
1+26 pages, 14 figures, 6 miniplots