Cosmic strings in compactified gauge theory

Physics – Nuclear Physics

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Scientific paper

A solution of the vortex type is given in a six-dimensional SU(2) × U(1) pure gauge theory coupled to Einstein gravity in a compactified background geometry. We construct the solution of an effective abelian Higgs model in terms of dimensional reduction. The solution, however, has a peculiarity in its physically relevant quantity, a deficit angle, which is given as a function of the ratio of the gauge couplings of SU(2) and U(1). The size of the extra space (sphere) is shown to vary with the distance from the axis of the ``string''.
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