Black Hole Entropy from Soft Hair
APA
Perry, M. (2019). Black Hole Entropy from Soft Hair. Perimeter Institute. https://pirsa.org/19100078
MLA
Perry, Malcolm. Black Hole Entropy from Soft Hair. Perimeter Institute, Oct. 17, 2019, https://pirsa.org/19100078
BibTex
@misc{ pirsa_PIRSA:19100078, doi = {10.48660/19100078}, url = {https://pirsa.org/19100078}, author = {Perry, Malcolm}, keywords = {Quantum Fields and Strings}, language = {en}, title = {Black Hole Entropy from Soft Hair}, publisher = {Perimeter Institute}, year = {2019}, month = {oct}, note = {PIRSA:19100078 see, \url{https://pirsa.org}} }
Black Hole Entropy is a well established concept and arises naturally once one realises that black holes are characterised by a temperature. Boltzmann established that entropy can be regarded as the logarithm of the density of states function. However, black hole uniqueness theorems appeared to indicate that black holes have no hair. I will describe a loophole in the no-hair theorems and how black holes can have an infinite set of charges related to "large" gauge transformations. I will then use these ideas to show that on sections of the horizon there is a holographic conformal field theory. The temperature of this conformal theory means that it has a statistical entropy that reproduces the Hawking formula. The implications of this for the black hole information paradox will be briefly described.