Supertranslations and Holography near the Horizon of Schwarzschild Black Holes

TL;DR

This paper reviews supertranslations at Schwarzschild black hole horizons, compares different approaches, and explores a holographic boundary theory that captures horizon symmetries and Goldstone bosons.

Contribution

It provides a comparative analysis of horizon supertranslation approaches and proposes a holographic model incorporating Goldstone bosons.

Findings

Different approaches to horizon supertranslations are compared.

A holographic description involving a large N boundary theory is proposed.

Goldstone bosons of supertranslations are identified within the holographic framework.

Abstract

In this paper we review and discuss several aspects of supertranslations and their associated algebras at the horizon of a Schwarzschild black hole. We will compare two different approaches on horizon supertranslations, which were recently considered in separate publications. Furthermore we describe a possible holographic description of a Schwarzschild black hole in terms of a large N boundary theory, which accommodates the Goldstone bosons of the horizon supertranslations.