Holographic Entanglement Entropy for noncommutative Anti-de Sitter space

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 $CF{T}_2$. This calculation can be exploited to compute UV-IR cutoff dependent central charge of the certain noncommutative $CF{T}_2$. 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.

6 pages, Version accepted for publication in "Modern Physics Letters A"

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Cited by in corpus (1)

• Noncommutative corrections to the minimal surface areas of the pure AdS spacetime and Schwarzschild-AdS black hole