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  • Letter
  • Open Access

Celestial symmetries of black hole horizons

Romain Ruzziconi1,* and Céline Zwikel2,†

  • *Contact author: romain.ruzziconi@maths.ox.ac.uk
  • †Contact author: czwikel@perimeterinstitute.ca
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Phys. Rev. D 113, L041504 – Published 25 February, 2026

DOI: https://doi.org/10.1103/gx7p-8k34

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 Lw1+∞ 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.

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Phys. Rev. D 113, L041504– Published 25 February, 2026
  • Received 9 May 2025
  • Accepted 2 January 2026
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