Celestial Chiral Algebras of self-dual Black Holes

          @misc{ scivideos_PIRSA:24070079,
            doi = {10.48660/24070079},
            url = {https://pirsa.org/24070079},
            author = {Heuveline, Simon},
            keywords = {},
            language = {en},
            title = {Celestial Chiral Algebras of self-dual Black Holes},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2024},
            month = {jul},
            note = {PIRSA:24070079 see, \url{https://scivideos.org/index.php/pirsa/24070079}}
          }
          

Abstract

This talk is based on work in progress with Giuseppe Bogna. We consider the twistor description of classical self-dual Einstein gravity in the presence of a cosmological constant and a defect operator wrapping a certain $\mathbb{CP}^1$. The backreaction of this defect deforms the flat twistor space to that of quaternionic Taub-NUT space, a certain self-dual limit of a family of Kerr Taub-NUT AdS black holes. We discuss a 2-parameter family of Lie-algebras depending on the mass of the black hole and the cosmological constant. In various limits it reduces to algebras which were previously studied in the context of celestial holography and are closely related to $w_{1+\infty}$.