In this article, we show that several self-dual spacetimes previously studied in the context of celestial and twisted holography arise as limits of a certain Taub-NUT ${\mathrm{AdS}}_4$ metric, the Pedersen metric, in which their mass, NUT charge, and cosmological constant obey a self-duality relation. In particular, self-dual Taub-NUT, a singular double cover of Eguchi-Hanson space, Euclidean ${\mathrm{AdS}}_4$, and noncompact ${\mathbb{C}\mathbb{P}}^2$, which is conformally equivalent to Burns space, arise as special limits of the Pedersen metric. The Pedersen metric can be derived from a curved twistor space which we conjecture to arise from a backreaction of self-dual gravity in the presence of a cosmological constant when coupled to a defect operator wrapping a certain ${\mathbb{C}\mathbb{P}}^1$ at infinity. The curved twistor space gives rise to a 2-parameter deformation of the celestial symmetry algebra $L{w}_{\wedge }$ which reduces to previously studied algebras in various limits.

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• Gauge-gravity dualities
• General relativity
• Quantum aspects of black holes
• Quantum field theory
• Quantum fields in curved spacetime
• Quantum gravity
• Scattering amplitudes