Rotating BTZ Black Holes and One Dimensional Holographic Superconductors

Understand

We consider charged rotating BTZ black holes in 2+1 dimensions and obtain 1+1 dimensional holographic superconductors on a spatial circle in the context of the $AdS_3/CFT_2$ correspondence.

• The charged condensate for the boundary superconductor is computed both in the analytic and the numerical framework in a probe limit and a low angular momentum approximation.
• A critical value of the angular momentum for the onset of superconductivity is established.
• We also numerically compute the electrical conductivity of the 1+1 dimensional boundary theory on a circle.