Yang-Mills Instantons and Dyons on Group Manifolds

Details Yang-Mills Instantons and Dyons on Group Manifolds Yang-Mills Instantons and Dyons on Group Manifolds

2008-06-02

arxiv.org/abs/0806.0394v1

Phys.Lett.B670:91-94,2008

Physics

High Energy Physics

High Energy Physics - Theory

1+7 pages

Scientific paper

10.1016/j.physletb.2008.10.027

We consider Euclidean SU(N) Yang-Mills theory on the space GxR, where G is a compact semisimple Lie group, and introduce first-order BPS-type equations which imply the full Yang-Mills equations. For gauge fields invariant under the adjoint G-action these BPS equations reduce to first-order matrix equations, to which we give instanton solutions. In the case of G=SU(2)=S^3, our matrix equations are recast as Nahm equations, and a further algebraic reduction to the Toda chain equations is presented and solved for the SU(3) example. Finally, we change the metric on GxR to Minkowski and construct finite-energy dyon-type Yang-Mills solutions. The special case of G=SU(2)xSU(2) may be used in heterotic flux compactifications.

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