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 analyze the holographic subregion complexity across the holographic $1+1$ dimensional $p$-wave superconductor phase transition by fixing $q$ or $T$. 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 condensate does not almost vary the subregion complexity, while charge density varies it unlike the one with zero charge density.