Vortex Holography

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.

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

Cited by in corpus (31)

• Boson stars with negative cosmological constant
• Inhomogeneous Structures in Holographic Superfluids: II. Vortices
• Magnetic strings in anti-de Sitter General Relativity
• Vortices in De Sitter Spacetimes
• Kerr de Sitter Spacetimes in Various Dimension and dS/CFT Correspondence
• Vacuum polarization induced by a cosmic string in anti-de Sitter spacetime
• A conical deficit in the AdS4/CFT3 correspondence
• Holographic Complexity and Fidelity Susceptibility as Holographic Information Dual to Different Volumes in AdS
• Chern-Simons Vortices in Supergravity
• Abelian Higgs Hair for a Static Charged Black String
• Abelian Higgs Hair for Rotating and Charged Black Holes
• Fermionic vacuum polarization by a cosmic string in anti-de Sitter spacetime
• New axially symmetric Yang-Mills-Higgs solutions with negative cosmological constant
• Hairy rotating black string in the Einstein-Maxwell-Higgs system
• Cosmic strings in a space-time with positive cosmological constant
• Vortex hair on AdS black holes
• Cosmic string and brane induced effects on the fermionic vacuum in AdS spacetime
• Complex scalar field in strictly stationary Einstein-Maxwell-axion-dilaton spacetime with negative cosmological constant
• Fermionic vacuum polarization around a cosmic string in compactified AdS spacetime
• Ringdown Spectroscopy of Rotating Black Holes Pierced by Cosmic Strings
• Thick Domain Walls and Charged Dilaton Black Holes
• Vacuum fermionic currents in braneworld models on AdS bulk with a cosmic string
• Topological effects in fermion condensate induced by cosmic string and compactification on AdS bulk
• Induced current by a cosmic string and a brane in high-dimensional AdS spacetime
• Superconducting Hair on Charged Black String Background
• Some Exact Solutions for Maximally Symmetric Topological Defects in Anti de Sitter Space
• Bulk-boundary correspondence between charged, anyonic strings and vortices
• p-q-superstrings in Anti-de-Sitter space-time
• Two species of semi-local cosmic strings in Abelian gauged ${\mathbb{CP}}^2$-sigma models coupled to gravity
• Spacetime defects and group momentum space
• On Acceleration in Three Dimensions