Renormalized Entanglement Entropy Flow in Mass-deformed ABJM Theory
Abstract
We investigate a mass deformation effect on the renormalized entanglement entropy (REE) near the UV fixed point in (2+1)-dimensional field theory. In the context of the gauge/gravity duality, we use the Lin-Lunin-Maldacena (LLM) geometries corresponding to the vacua of the mass-deformed ABJM theory. We analytically compute the small mass effect for various droplet configurations and show in holographic point of view that the REE is monotonically decreasing, positive, and stationary at the UV fixed point. These properties of the REE in (2+1)-dimensions are consistent with the Zamolodchikov -function proposed in (1+1)-dimensional conformal field theory.
Keywords
Cite
@article{arxiv.1404.1044,
title = {Renormalized Entanglement Entropy Flow in Mass-deformed ABJM Theory},
author = {Kyung Kiu Kim and O-Kab Kwon and Chanyong Park and Hyeonjoon Shin},
journal= {arXiv preprint arXiv:1404.1044},
year = {2014}
}
Comments
10 pages, 1 figure, minor corrections, references added, version accepted for publication in Phys. Rev. D