Holographic Entanglement Entropy for noncommutative Anti-de Sitter space
High Energy Physics - Theory
2018-10-09 v2 General Relativity and Quantum Cosmology
Abstract
A metric is proposed to explore the noncommutative form of the Anti-de Sitter space due to quantum effects. It has been proved that the non commutativity in AdS space induces a single component gravitoelectric field. The holographic Ryu-Takayanagi (RT) algorithm is then applied to compute the entanglement entropy in dual . This calculation can be exploited to compute UV-IR cutoff dependent central charge of the certain noncommutative . This non commutative computation of the entanglement entropy can be interpreted in the form of the surface/state correspondence. We have shown that non commutativity increases the dimension of the effective Hilbert space of the dual CFT.
Keywords
Cite
@article{arxiv.1504.00106,
title = {Holographic Entanglement Entropy for noncommutative Anti-de Sitter space},
author = {Davood Momeni and Muhammad Raza and Ratbay Myrzakulov},
journal= {arXiv preprint arXiv:1504.00106},
year = {2018}
}
Comments
6 pages, Version accepted for publication in "Modern Physics Letters A"