Maxwell-Chern-Simons Vortices and Holographic Superconductors

Details Maxwell-Chern-Simons Vortices and Holographic Superconductors Maxwell-Chern-Simons Vortices and Holographic Superconductors

2010-07-23

arxiv.org/abs/1007.4163v2

JHEP 1012:090,2010

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 5 figures, version accepted for publication in JHEP

Scientific paper

10.1007/JHEP12(2010)090

We investigate probe limit vortex solutions of a charged scalar field in Einstein-Maxwell theory in 3+1 dimensions, for an asymptotically AdS Schwarzschild black hole metric with the addition of an axionic coupling to the Maxwell field. We show that the inclusion of such a term, together with a suitable potential for the axion field, can induce an effective Chern-Simons term on the 2+1 dimensional boundary. We obtain numerical solutions of the equations of motion and find Maxwell-Chern-Simons like magnetic vortex configurations, where the magnetic field profile varies with the size of the effective Chern-Simons coupling. The axion field has a non-trivial profile inside the AdS bulk but does not condense at spatial infinity.

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