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The celestial chiral algebra of self-dual gravity on Eguchi-Hanson space

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Bittleston, R 
Heuveline, S 
Skinner, D 


jats:titleAjats:scbstract</jats:sc> </jats:title>jats:pWe consider the twistor description of classical self-dual Einstein gravity in the presence of a defect operator wrapping a certain ℂℙjats:sup1</jats:sup>. The backreaction of this defect deforms the flat twistor space to that of Eguchi-Hanson space. We show that the celestial chiral algebra of self-dual gravity on the Eguchi-Hanson background is likewise deformed to become the loop algebra of a certain scaling limit of the family of jats:italicW</jats:italic>(jats:italicμ</jats:italic>)-algebras, where the scaling limit is controlled by the radius of the Eguchi-Hanson core. We construct this algebra by computing the Poisson algebra of holomorphic functions on the deformed twistor space, and check this result with a space-time calculation of the leading contribution to the gravitational splitting function. The loop algebra of a general jats:italicW</jats:italic>(jats:italicμ</jats:italic>)-algebra (away from the scaling limit) similarly arises as the celestial chiral algebra of Moyal-deformed self-dual gravity on Eguchi-Hanson space. We also obtain corresponding results for self-dual Yang-Mills.</jats:p>



5107 Particle and High Energy Physics, 4902 Mathematical Physics, 4904 Pure Mathematics, 49 Mathematical Sciences, 51 Physical Sciences

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Journal of High Energy Physics

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Springer Science and Business Media LLC
STFC (ST/T000694/1)