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arXiv · 0704.0505

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

Hironobu Kihara·Muneto Nitta
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Abstract

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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Hironobu Kihara, Muneto Nitta. 2007-06-11. Exact Solutions of Einstein-Yang-Mills Theory with Higher-Derivative Coupling. https://doi.org/10.1103/physrevd.76.085001

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