Abstract:
We study the various versions of holographic entanglement entropy formula that has come
out over time. This starts with the Ryu-Takayangi formula which later modified to the HRT
prescription and then the FLM prescription which gave quantum corrections and finally
the method of finding a quantum extremal surface to calculate the entanglement entropy.
Then we look at entanglement wedge reconstruction and its application to an evaporating
black hole in AdS as done in the work of Penington. Using there was an attempt to find
a Page curve for it and this calculation implies that the graph of entropy versus time will
turn around as expected in the case of information being preserved during the black hole
evaporation. At the end we also see that these results match with the work done by Hayden
and Preskill to find the time required for any information to come out of the black hole in
an information preserving model.
