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تسجيل مستخدم جديدEntanglement wedge cross section for noncommutative Yang-Mills theory
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In this paper, we probe the effect of noncommutativity on the entanglement of purification in the holographic set up. We followed a systematic analytical approach in order to compute the holographic entanglement entropy corresponding to a strip like subsystem. The entropic c-function has been computed and the effect of noncommutativity has been noted. We then move on to compute the minimal cross-section area of the entanglement wedge by considering two disjoint subsystems. On the basis of $E_P = E_W$ duality, this leads to the holographic computation of the entanglement of purification. The correlation between two subsystems, namely, the holographic mutual information has also been computed. Finally we consider a black hole geometry with a noncommutative parameter and study the influence of both noncommutativity and finite temperature on the entanglement of purification and mutual information.
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