Speaker
Description
The signature of noncommutativity on various measures of entanglement has been observed by considering the holographic dual of noncommutative super Yang-Mills theory. We have followed a systematic analytical approach in order to compute the holographic entanglement entropy corresponding to a strip-like subsystem of length l. The relationship between the subsystem size (in dimensionless form) (l/a) and the turning point (in dimensionless form) introduces a critical length scale (lc/a ) which leads to three domains in the theory, namely, the deep UV domain (l< lc; aut >>1; aut~aub), deep noncommutative domain (l> lc ; aub>aut>> 1) and deep IR domain (l> lc ; aut< 1). This in turn means that the length scale lc distinctly points out the UV/IR mixing property of the non-local theory under consideration. We have carried out the holographic study of entanglement entropy for each domain by employing analytical and numerical techniques. We then compute the minimal cross-section area of the entanglement wedge by considering two disjoint subsystems A and B. On the basis of EP= EW duality, this leads to the holographic computation of the entanglement of purification. The correlation between two subsystems, namely, the holographic mutual information I(A: B) has also been computed. Moreover, the computations of EW and I(A: B) has been done for each of the domains in the theory. We have then briefly discussed the effect of the UV cut-off on the IR behaviors of these quantities.
| Session | Formal Theory |
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