Holographic subregion complexity of a 1+1 dimensional p-wave superconductor

We analyze the holographic subregion complexity in a 3d black hole with the vector hair. This 3d black hole is dual to a 1 + 1 dimensional p-wave superconductor. We probe the black hole by changing the size of the interval and by fixing charge density or temperature. We confirm that the universal part is always finite in both cases. The behavior of the subregion complexity depends on the gravitational coupling constant divided by the gauge coupling constant. When this ratio is less than the critical value, the subregion complexity increases as temperature becomes low. This behavior is similar to the one of the holographic 1 + 1 dimensional s-wave superconductor arXiv:1704.00557. When the ratio is larger than the critical value, the subregion complexity has a non-monotonic behavior as a function of q or T. We also find a discontinuous jump of the subregion complexity as a function of the size of the interval. The subregion complexity has the maximum when it wraps the almost entire spatial circle. The universal term in the condensed phase becomes even smaller than that of the normal phase by probing the black hole horizon at a large interval. It implies that the formed condensate decreases the subregion complexity like the case of the entanglement entropy.