Entanglement entropy and the Ricci flow
arXiv:hep-th/0609045 · doi:10.1016/j.physletb.2007.01.031
Abstract
We analyze the Ricci flow of a noncompact metric that describes a two-dimensional black hole. We consider entanglement entropy of a 2d black hole which is due to the quantum correlations between two subsystems: one is inside and the other is outside the black hole horizon. It is demonstrated that the entanglement entropy is monotonic along the Ricci flow.
13 pages