Comments on holographic current algebras and asymptotically flat four dimensional spacetimes at null infinity

TL;DR

This paper revisits holographic current algebras in four-dimensional asymptotically flat spacetimes at null infinity, clarifying the algebraic structure of currents and extending previous work to include spatial components.

Contribution

It provides a detailed reinterpretation of current algebra computations, including both time and spatial components, in the holographic context for flat spacetimes.

Findings

Holographic current algebra for null infinity clarified

Extension of algebra to spatial components completed

Supports the holographic description of asymptotically flat spacetimes

Abstract

We follow the spirit of a recent proposal to show that previous computations for asymptotically flat spacetimes in four dimensions at null infinity can be re-interpreted in terms of a well-defined holographic current algebra for the time component of the currents. The analysis is completed by the current algebra for the spatial components.