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

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.

9 pages, more comments included

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Cited by in corpus (7)

• Notes on Yang-Mills--Higgs monopoles and dyons on R^D, and Chern-Simons--Higgs solitons on \R^{D-2}: Dimensional reduction of Chern-Pontryagin densities
• Spherically symmetric selfdual Yang-Mills instantons on curved backgrounds in all even dimensions
• Incarnations of Instantons
• Dynamical Compactification and Inflation in Einstein-Yang-Mills Theory with Higher Derivative Coupling
• Generalized Instantons on Complex Projective Spaces
• A Classical Solution in Six-dimensional Gauge Theory with Higher Derivative Coupling
• Gauge symmetry breaking in ten-dimensional Yang-Mills theory dynamically compactified on S^6