All holographic systems have scar states

Scar states are special finite-energy density, but nonthermal states of chaotic Hamiltonians. We argue that all holographic quantum field theories, including $N=4$ super Yang-Mills, have scar states. Their presence is tied to the existence of nontopological, horizonless soliton solutions in gravity; oscillons and a novel family of excited boson stars. We demonstrate that these solutions have periodic oscillations in the correlation functions and posses low-entanglement entropy as expected for scar states. Also we find that they can be very easily prepared with Euclidean path integral.