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Celestial Symmetries of Black Hole Horizons

Romain Ruzziconi, Céline Zwikel

Abstract

We establish a correspondence between the gravitational phase space at null infinity and the subleading phase space near a finite-distance null hypersurface, such as a black hole horizon. Within this framework, we identify the celestial $Lw_{1+\infty}$ symmetries in the subleading phase space at the horizon by constructing their canonical generators and imposing self-duality conditions. This leads to an infinite tower of conserved charges in the absence of radiation, revealing new gravitational observables relevant to black hole physics.

Celestial Symmetries of Black Hole Horizons

Abstract

We establish a correspondence between the gravitational phase space at null infinity and the subleading phase space near a finite-distance null hypersurface, such as a black hole horizon. Within this framework, we identify the celestial symmetries in the subleading phase space at the horizon by constructing their canonical generators and imposing self-duality conditions. This leads to an infinite tower of conserved charges in the absence of radiation, revealing new gravitational observables relevant to black hole physics.

Paper Structure

This paper contains 6 sections, 20 equations.

Table of Contents

  1. Introduction
  2. NP formalism at null infinity
  3. From null infinity to the horizon
  4. Subleading phase space
  5. Canonical $Lw_{1+\infty}$ symmetries
  6. Discussion