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Noncommutativity and Holographic Entanglement Entropy
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Noncommutativity and Holographic Entanglement Entropy
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In this paper we study the holographic entanglement entropy in a large N noncommutative gauge field theory with two $\theta$ parameters by Ryu-Takayanagi prescription (RT-formula). We discuss what contributions the presence of noncommutativity will make to the entanglement entropy in two different circumstances: 1) a rectangular strip and 2) a cylinder. Since we want to investigate the entanglement entropy only, we will not be discussing the finite temperature case in which the entropy calculated by the area of minimal surface will largely be the thermal part rather than the entanglement part. We find that divergence of the holographic entanglement entropy will be worse in the presence of noncommutativity. In future study, we are going to explore the concrete way of computing holographic entanglement entropy in higher dimensional field theory and investigate more about the entanglement entropy in the presence of black holes/black branes.
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Cited by 1 Pith paper
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Holographic Subregion Complexity and Fidelity Susceptibility in Noncommutative Yang--Mills Theory
In the noncommutative Yang–Mills dual, holographic subregion complexity acquires a lower bound and a minimum-length scale, and strong subadditivity fails exactly at that scale.
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