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arXiv · 2504.08027

Celestial Symmetries of Black Hole Horizons

Romain Ruzziconi·Céline Zwikel
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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.

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Romain Ruzziconi, Céline Zwikel. 2025-04-10. Celestial Symmetries of Black Hole Horizons. https://arxiv.org/abs/2504.08027

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