The horizon and its charges in the first order gravity

TL;DR

This paper investigates the algebra of charges associated with diffeomorphisms at black hole horizons within first order gravity, revealing that it reproduces the horizon diffeomorphism algebra without a central extension.

Contribution

It provides a detailed analysis of the charge algebra at black hole horizons in first order gravity, showing the absence of a central extension.

Findings

Reproduces the Diff(S^1) algebra at the horizon

Finds no central extension in the charge algebra

Enhances understanding of horizon symmetries in first order gravity

Abstract

In this work the algebra of charges of diffeomorphisms at the horizon of generic black holes is analyzed within first order gravity. This algebra reproduces the algebra of diffeomorphisms at the horizon, (Diff(S^1)), without central extension.