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 <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi mathvariant="script">N</a:mi><a:mo>=</a:mo><a:mn>4</a:mn></a:math> 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.