Zoo of holographic moving mirrors

TL;DR

This paper classifies moving mirror models in 2D conformal field theory into four types based on late-time behavior, analyzes their energy flux and entanglement entropy, and constructs their gravity duals with end-of-the-world branes.

Contribution

It introduces a systematic classification of moving mirror profiles, analyzes their physical properties, and constructs gravity duals, providing new insights into entanglement and pseudo entropy in these models.

Findings

Four classes of mirror profiles identified and characterized.

Distinct energy flux and entanglement entropy features for each class.

A criterion distinguishing entanglement entropy from pseudo entropy calculations.

Abstract

We systematically study moving mirror models in two-dimensional conformal field theory (CFT). By focusing on their late-time behavior, we separate the mirror profiles into four classes, named type A (timelike) mirrors, type B (escaping) mirrors, type C (chasing) mirrors, and type D (terminated) mirrors. We analytically explore the characteristic features of the energy flux and entanglement entropy for each type and work out their physical interpretation. Moreover, we construct their gravity duals for which end-of-the-world (EOW) branes play a crucial role. Depending on the mirror type, the profiles of the EOW branes show distinct behaviors. In addition, we also provide a criterion that decides whether the replica method in CFTs computes entanglement entropy or pseudo entropy in moving mirror models.