Celestial Chiral Algebras of self-dual Black Holes
APA
Heuveline, S. (2024). Celestial Chiral Algebras of self-dual Black Holes. Perimeter Institute. https://pirsa.org/24070079
MLA
Heuveline, Simon. Celestial Chiral Algebras of self-dual Black Holes. Perimeter Institute, Jul. 24, 2024, https://pirsa.org/24070079
BibTex
@misc{ pirsa_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}, year = {2024}, month = {jul}, note = {PIRSA:24070079 see, \url{https://pirsa.org}} }
University of Cambridge
Collection
Talk Type
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 $w_{1+\infty}$.