  In a two-dimensional conformal field theory with a moving mirror, known as a
moving mirror model, the time evolution of the entanglement entropy shows a
Page like curve. This implies that the moving mirror model is useful to
understand the island formula. In this paper, we study the time evolution of
the subregion CV complexity in the moving mirror model for a better
understanding of the island formula of the complexity. In contrast to the
entanglement entropy, the subregion CV complexity shows a peculiar behaviour.
We discuss this behaviour in more detail.
