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NUCLEAR PHYSICS B
Volume 625, Issue 1-2, Pages 389-406Publisher
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DOI: 10.1016/S0550-3213(02)00024-X
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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/CFr 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. (C) 2002 Published by Elsevier Science B.V.
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