Maxwell-Chern-Simons vortices and holographic superconductors

作者：Tallarita Gianni^*; Thomas Steven

来源：The Journal of High Energy Physics, 2010, 2010(12): 090.

DOI：10.1007/JHEP12(2010)090

• Gauge-gravity correspondence
• Black Holes in String Theory
• AdS-CFT Correspondence
• Holography and condensed matter physics (AdS/CMT)

We investigate vortex solutions of a charged scalar field in Einstein-Maxwell theory in 3+1 dimensions 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 con figurations, where the magnetic field profile varies with the size of the effective Chern-Simons coupling. The axion field has a non-trivial pro file inside the AdS bulk and on the 2+1 dimensional boundary but does not condense at spatial in finity.

• 出版日期2010-12