Exploring the holographic principle in asymptotically flat spacetimes via the BMS group

TL;DR

This paper investigates the holographic principle in asymptotically flat spacetimes by analyzing the BMS group, applying covariant entropy bounds, and exploring boundary degrees of freedom, revealing differences from AdS holography.

Contribution

It introduces a novel approach to flat space holography by studying BMS symmetries and deriving wave equations for boundary fields, proposing a mechanism to encode bulk data.

Findings

BMS group analysis reveals distinct boundary symmetries from AdS cases.

Covariant entropy bounds relate bulk entropy to boundary structures.

Derived wave equations suggest boundary degrees of freedom encode bulk information.

Abstract

We explore the holographic principle in the context of asymptotically flat spacetimes. In analogy with the AdS/CFT scenario we analyse the asympotically symmetry group of this class of spacetimes, the so called Bondi-Metzner-Sachs (BMS) group. We apply the covariant entropy bound to relate bulk entropy to boundary symmetries and find a quite different picture with respect to the asymptotically AdS case. We then derive the covariant wave equations for fields carrying BMS representations to investigate the nature of the boundary degrees of freedom. We find some similarities with 't Hooft S-matrix proposal and suggest a possible mechanism to encode bulk data.