Cosmic string in compactified gauge theory

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Cosmology, Gauge Theory, String Theory, Universe, Abel Function, Gauge Invariance, Vortices

Scientific paper

A solution of the vortex type is given in a six-dimensional SU(2)xU(1) pure gauge theory coupled to Einstein gravity in a compactified background geometry.The solution of an effective Abelian-Higgs model was constructed 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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