Vortex Holography
High Energy Physics - Theory
2009-11-07 v2 General Relativity and Quantum Cosmology
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, is a generalization of the flat spacetime Nielsen-Olesen string. We show that the vortex induces a deficit angle in the AdS 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.
Keywords
Cite
@article{arxiv.hep-th/0105134,
title = {Vortex Holography},
author = {M. H. Dehghani and A. M. Ghezelbash and R. B. Mann},
journal= {arXiv preprint arXiv:hep-th/0105134},
year = {2009}
}
Comments
LaTeX, 20 pages, 4 eps figures, references and two paragraphs added, to appear in Nucl. Phys. B