Speaker
Description
I’ll explain how the celestial chiral algebra of an ALE space can be easily read off from its twistor space. The simplest example is flat space, where the CCA is the loop algebra of the Poisson algebra of holomorphic functions on $\mathbb{C}^2$. We’ll also discuss the case of Eguchi-Hanson space in some detail, where the CCA is related to a certain scaling limit of the family of W-algebras defined by Pope et al., where the scaling limit is controlled by the radius of the Eguchi-Hanson core. The loop algebra of a general W-algebra (away from the scaling limit) similarly arises as the celestial chiral algebra of non-commutative self-dual gravity on Eguchi-Hanson space. I’ll comment on the relevance of these results for potential top-down models of celestial holography in ALE spaces.
