Holographic Entanglement in a Noncommutative Gauge Theory
Abstract
In this article we investigate aspects of entanglement entropy and mutual information in a large-N strongly coupled noncommutative gauge theory, both at zero and at finite temperature. Using the gauge-gravity duality and the Ryu-Takayanagi (RT) prescription, we adopt a scheme for defining spatial regions on such noncommutative geometries and subsequently compute the corresponding entanglement entropy. We observe that for regions which do not lie entirely in the noncommutative plane, the RT-prescription yields sensible results. In order to make sense of the divergence structure of the corresponding entanglement entropy, it is essential to introduce an additional cut-off in the theory. For regions which lie entirely in the noncommutative plane, the corresponding minimal area surfaces can only be defined at this cut-off and they have distinctly peculiar properties.
Keywords
Cite
@article{arxiv.1307.2932,
title = {Holographic Entanglement in a Noncommutative Gauge Theory},
author = {Willy Fischler and Arnab Kundu and Sandipan Kundu},
journal= {arXiv preprint arXiv:1307.2932},
year = {2014}
}
Comments
28 pages, multiple figures; minor changes, conclusions unchanged