Holographic entanglement entropy for noncommutative anti-de Sitter space

被引：2

作者：

Momeni, Davood ^{[1
,2
]}

Raza, Muhammad ^{[3
,4
]}

Myrzakulov, Ratbay ^{[1
,2
]}

机构：

[1] Eurasian Natl Univ, Eurasian Int Ctr Theoret Phys, Astana 010008, Kazakhstan

[2] Eurasian Natl Univ, Dept Gen & Theoret Phys, Astana 010008, Kazakhstan

[3] COMSATS Inst Informat Technol, Dept Math, Sahiwal 57000, Pakistan

[4] Zhejiang Univ, Dept Opt Engn, Ctr Opt & Electromagnet Res, State Key Lab Modern Opt Instrumentat, Hangzhou 310058, Zhejiang, Peoples R China

来源：

MODERN PHYSICS LETTERS A | 2016年 / 31卷 / 12期

关键词：

Cosmological backgrounds; AdS/CFT; entanglement entropy; noncommutative spacetimes; QUANTUM-FIELD THEORY; DARK ENERGY;

D O I：

10.1142/S0217732316500735

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A metric is proposed to explore the noncommutative form of the anti-de Sitter (AdS) space due to quantum effects. It has been proved that the noncommutativity in AdS space induces a single component gravitoelectric field. The holographic Ryu-Takayanagi (RT) algorithm is then applied to compute the entanglement entropy (EE) in dual CFT2. This calculation can be exploited to compute ultraviolet-infrared (UV-IR) cutoff dependent central charge of the certain noncommutative CFT2. This noncommutative computation of the EE can be interpreted in the form of the surface/state correspondence. We have shown that noncommutativity increases the dimension of the effective Hilbert space of the dual conformal field theory (CFT).

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页数：12

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