ar X iv : h ep - t h / 01 05 13 4 v 2 1 1 Ja n 20 02 WATPPHYS - TH 01 / 07 Vortex Holography
نویسندگان
چکیده
We show that the Abelian Higgs field equations in the four dimensional anti de Sitter spacetime have a vortex line solution. This solution, which has cylindrical symmetry in AdS 4 , is a generalization of the flat spacetime Nielsen-Olesen string. We show that the vortex induces a deficit angle in the AdS 4 spacetime that is proportional to its mass density. Using the AdS/CFT correspondence, we show that the mass density of the string is uniform and dual to the discontinuity of a logarithmic derivative of correlation function of the boundary scalar operator.
منابع مشابه
ar X iv : h ep - t h / 01 05 13 4 v 1 1 4 M ay 2 00 1 WATPPHYS - TH 01 / 07 Vortex Holography
We show that the Abelian Higgs field equations in the four dimensional anti de Sitter spacetime have a vortex line solution. This solution, which has cylindrical symmetry in AdS 4 , is a generalization of the flat spacetime Nielsen-Olesen string. We show that the vortex induces a deficit angle in the AdS 4 spacetime that is proportional to its mass density. Using the AdS/CFT correspondence, we ...
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