Vortex holography

May, 2001
19 pages
Published in:
  • Nucl.Phys.B 625 (2002) 389-406
e-Print:
Report number:
  • WATPHYS-TH01-07

Citations per year

2001200720132019202401234
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 AdS4_4, is a generalization of the flat spacetime Nielsen-Olesen string. We show that the vortex induces a deficit angle in the AdS4_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.
  • 11.15.-q
  • 11.25.Hf
  • 04.60.-m
  • 11.10.Lm
  • gauge field theory: U(1)
  • Higgs model
  • space-time: anti-de Sitter
  • fluctuation
  • holography
  • vortex: mass