Holography and Entanglement in Flat Spacetime

TL;DR

This work proposes a holographic correspondence of the flat spacetime based on the behavior of the entanglement entropy and the correlation functions and presents a toy model for this holographic dual using a nonlocal scalar field theory that reproduces the same property of the entropy.

Abstract

We propose a holographic correspondence of the flat spacetime based on the behavior of the entanglement entropy and the correlation functions. The holographic dual theory turns out to be highly non-local. We argue that after most part of the space is traced out, the reduced density matrix gives the maximal entropy and the correlation functions become trivial. We present a toy model for this holographic dual using a non-local scalar field theory that reproduces the same property of the entanglement entropy. Our conjecture is consistent with the entropy of Schwarzschild black holes in asymptotically flat spacetimes.

Figures (1)

• Figure 1: The geometric computation of the entanglement entropy $S_A$ in the flat space holography.