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arXiv · hep-th/0105134

Vortex Holography

M. H. Dehghani·A. M. Ghezelbash·R. B. Mann
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Abstract

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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M. H. Dehghani, A. M. Ghezelbash, R. B. Mann. 2002-01-11. Vortex Holography. https://doi.org/10.1016/s0550-3213(02)00024-x

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