The symmetries of the isolated horizons
APA
Giribet, G. (2022). The symmetries of the isolated horizons . Perimeter Institute. https://pirsa.org/22010089
MLA
Giribet, Gaston. The symmetries of the isolated horizons . Perimeter Institute, Jan. 27, 2022, https://pirsa.org/22010089
BibTex
@misc{ pirsa_PIRSA:22010089, doi = {10.48660/22010089}, url = {https://pirsa.org/22010089}, author = {Giribet, Gaston}, keywords = {Quantum Gravity}, language = {en}, title = {The symmetries of the isolated horizons }, publisher = {Perimeter Institute}, year = {2022}, month = {jan}, note = {PIRSA:22010089 see, \url{https://pirsa.org}} }
In this talk, I will revisit the calculation of infinite-dimensional symmetries that emerge in the vicinity of isolated horizons. In particular, I will focus my attention on extremal black holes, for which the isometry algebra that preserves a sensible set of asymptotic boundary conditions at the horizon strictly includes the BMS algebra. The conserved charges that correspond to this BMS sector, however, reduce to those of superrotation, generating only two copies of Witt algebra. For more general horizon isometries, in contrast, the charge algebra does include both Witt and supertranslations, being similar to BMS but s.str. differing from it. I will also show how this is extended to the case of black holes in the Einstein-Yang-Mills case, where a loop algebra associated to the gauge group is found to emerge at the horizon.