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

Published version
Peer-reviewed

Repository DOI


Change log

Authors

Bittleston, R 
Heuveline, S 
Skinner, D 

Abstract

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>

Description

Keywords

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

Journal Title

Journal of High Energy Physics

Conference Name

Journal ISSN

1126-6708
1029-8479

Volume Title

2023

Publisher

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