Backreacting p-wave superconductors

We study the gravitational backreaction of the non-abelian gauge field on the gravity dual to a 2 + 1 p-wave superconductor. We observe that as in the p + ip system a second order phase transition exists between a superconducting and a normal state. Moreover, we conclude that, below the phase transition temperature Tc the lowest free energy is achieved by the p-wave solution. In order to probe the solution, we compute the holographic entanglement entropy. For both p and p + ip systems the entanglement entropy satisfies an area law. For any given entangling surface, the p-wave superconductor has lower entanglement entropy.