Instantons and Yang-Mills Flows on Coset Spaces

Details Instantons and Yang-Mills Flows on Coset Spaces Instantons and Yang-Mills Flows on Coset Spaces

2009-04-04

arxiv.org/abs/0904.0654v1

Lett.Math.Phys.89:231-247,2009

Physics

High Energy Physics

High Energy Physics - Theory

1+12 pages

Scientific paper

10.1007/s11005-009-0336-1

We consider the Yang-Mills flow equations on a reductive coset space G/H and the Yang-Mills equations on the manifold R x G/H. On nonsymmetric coset spaces G/H one can introduce geometric fluxes identified with the torsion of the spin connection. The condition of G-equivariance imposed on the gauge fields reduces the Yang-Mills equations to phi^4-kink equations on R. Depending on the boundary conditions and torsion, we obtain solutions to the Yang-Mills equations describing instantons, chains of instanton-anti-instanton pairs or modifications of gauge bundles. For Lorentzian signature on R x G/H, dyon-type configurations are constructed as well. We also present explicit solutions to the Yang-Mills flow equations and compare them with the Yang-Mills solutions on R x G/H.

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