Vortex Holography

Details Vortex Holography Vortex Holography

2001-05-14

arxiv.org/abs/hep-th/0105134v2

Nucl.Phys. B625 (2002) 389-406

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 20 pages, 4 eps figures, references and two paragraphs added, to appear in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(02)00024-X

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.

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