A Holographic P-wave Superconductor Model

Understand

We study a holographic p-wave superconductor model in a four dimensional Einstein-Maxwell-complex vector field theory with a negative cosmological constant.

• The complex vector field is charged under the Maxwell field.
• We solve the full coupled equations of motion of the system and find black hole solutions with the vector hair.
• The vector hairy black hole solutions are dual to a thermal state with the U(1) symmetry as well as the spatial rotational symmetry breaking spontaneously.