Instantons and Yang-Mills Flows on Coset Spaces

Understand

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.