Self-Dual Black Holes in Celestial Holography

TL;DR

This paper constructs quantum states linked to self-dual black holes in a specific spacetime signature, revealing their structure as coherent states with infinite symmetries, and connects these to black hole scattering and celestial holography.

Contribution

It introduces a novel construction of quantum states for self-dual black holes in Klein space, incorporating an infinite tower of symmetries and connecting to celestial holography and scattering.

Findings

States are coherent exponentials with infinite ${ m w}_{1+ abla} ext{ charges}

Establishes a link between black hole states and celestial torus primaries

Connects black hole scattering results with celestial holography in curved backgrounds

Abstract

We construct two-dimensional quantum states associated to four-dimensional linearized rotating self-dual black holes in $(2,2)$ signature Klein space. The states are comprised of global conformal primaries circulating on the celestial torus, the Kleinian analog of the celestial sphere. By introducing a generalized tower of Goldstone operators we identify the states as coherent exponentiations carrying an infinite tower of ${\rm w}_{1+\infty}$ charges or soft hair. We relate our results to recent approaches to black hole scattering, including a connection to Wilson lines, $\mathcal{S}$-matrix results, and celestial holography in curved backgrounds.