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/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.