Spherically symmetric selfdual Yang-Mills instantons on curved backgrounds in all even dimensions

Details Spherically symmetric selfdual Yang-Mills instantons on curved backgrounds in all even dimensions Spherically symmetric selfdual Yang-Mills instantons on curved backgrounds in all even dimensions

2007-07-09

arxiv.org/abs/0707.1270v1

Phys.Rev.D77:044017,2008

Physics

High Energy Physics

High Energy Physics - Theory

41 pages, 3 figures

Scientific paper

10.1103/PhysRevD.77.044017

We present several different classes of selfdual Yang-Mills instantons in all even d backgrounds with Euclidean signature. In d=4p+2 the only solutions we found are on constant curvature dS and AdS backgrounds, and are evaluated in closed form. In d=4p an interesting class of instantons are given on black hole backgrounds. One class of solutions are (Euclidean) time-independent and spherically symmetric in d-1 dimensions, and the other class are spherically symmetric in all d dimensions. Some of the solutions in the former class are evaluated numerically, all the rest being given in closed form. Analytic proofs of existence covering all numerically evaluated solutions are given. All instantons studied have finite action and vanishing energy momentum tensor and do not disturb the geometry.

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