Abstract:
We study (1 þ 1)-dimensional P-wave holographic superconductors described by three- dimensional
Einstein-Maxwell gravity coupled to a massive complex vector field in the context of AdS3=CFT2
correspondence. In the probe limit, where the backreaction of matter fields is neglected, we show that there
is a formation of a vector hair around the black hole below a certain critical temperature. In the dual strongly
coupled (1 þ 1)-dimensional boundary theory, this holographically corresponds to the formation of a
charged vector condensate which breaks spontaneously both the Uð1Þ and SOð1; 1Þ symmetries. We
numerically compute both the free energy and the ac conductivity for the superconducting phase of the
boundary field theory. Our numerical computations clearly establish that the superconducting phase of the
boundary theory is favorable to the normal phase, and the presence of a magnetic moment term in the dual
bulk theory effects the conductivity in the boundary field theory
