Holographic R\'enyi Entropy and Generalized Entropy method
General Relativity and Quantum Cosmology
2015-06-17 v1
Abstract
In this paper we use the method of generalized gravitational entropy in \cite{Lewkowycz:2013nqa} to construct the dual bulk geometry for a spherical entangling surface, and calculate the R\'enyi entropy with the dual bulk gravity theory being either Einstein gravity or Lovelock gravity, this approach is closely related to that in \cite{Casini:2011kv}. For a general entangling surface we derive the area law of entanglement entropy. The area law is closely related with the local property of the entangling surface.
Cite
@article{arxiv.1311.2354,
title = {Holographic R\'enyi Entropy and Generalized Entropy method},
author = {Wu-zhong Guo and Miao Li},
journal= {arXiv preprint arXiv:1311.2354},
year = {2015}
}
Comments
17+6 pages