Holography and Entanglement in Flat Spacetime

TL;DR

This paper proposes a holographic duality for flat spacetime based on entanglement entropy and correlation functions, suggesting a highly non-local dual theory that aligns with black hole entropy.

Contribution

It introduces a novel flat spacetime holographic correspondence using non-local theories and entanglement properties, extending holography beyond AdS spaces.

Findings

The dual theory is highly non-local.

Maximal entropy occurs when most of the space is traced out.

The toy model reproduces entanglement entropy behavior.

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.