An Area-Law Prescription for Holographic Renyi Entropies
Year: 2016
Type: preprint
Abstract: We show that Renyi entropies satisfy an area law in quantum field theories with a holographic dual description in terms of a bulk gravitational theory. A derivative of the Renyi entropy $S_n$ with respect to its index $n$ is given by the area in Planck units of a bulk cosmic brane homologous to the entangling region. This geometric prescription for holographic Renyi entropies is a one-parameter generalization of the Ryu-Takayanagi prescription for entanglement entropy. As an example of applying this prescription, we calculate the mutual Renyi information $I_n$ between two disks to linear order in $n-1$ in holographic conformal field theories of arbitrary dimension.
Source: arXiv (Cornell University)
Author: Xi Dong
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2273493250