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Holographic Entanglement Entropy for noncommutative Anti-de Sitter space

Authors
  • Momeni, Davood
  • Raza, Muhammad
  • Myrzakulov, Ratbay
Type
Preprint
Publication Date
Mar 14, 2016
Submission Date
Apr 01, 2015
Identifiers
DOI: 10.1142/S0217732316500735
Source
arXiv
License
Yellow
External links

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 $CFT_2$. This calculation can be exploited to compute UV-IR cutoff dependent central charge of the certain noncommutative $CFT_2$. 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.

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