Exact Solutions of Einstein-Yang-Mills Theory with Higher-Derivative Coupling

Details Exact Solutions of Einstein-Yang-Mills Theory with Higher-Derivative Coupling Exact Solutions of Einstein-Yang-Mills Theory with Higher-Derivative Coupling

2007-04-04

arxiv.org/abs/0704.0505v3

Phys.Rev.D76:085001,2007

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, more comments included

Scientific paper

10.1103/PhysRevD.76.085001

We construct a classical solution of an Einstein-Yang-Mills system with a fourth order term with respect to the field strength of the Yang-Mills field. The solution provides a spontaneous compactification proposed by Cremmer and Scherk; ten-dimensional space-time with a cosmological constant is compactified to the four-dimensional Minkowski space with a six-dimensional sphere S^6 on which an instanton solution exists. The radius of the sphere is not a modulus but is determined by the gauge coupling and the four-derivative coupling constants and the Newton's constant. We also construct a solution of ten-dimensional theory without a cosmological constant compactified to AdS_4 x S^6.

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