Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement wedge cross section for noncommutative Yang-Mills theory   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) $\frac{l}{a}$ and the turning point (in dimensionless form)
introduces a critical length scale $\frac{l_c}{a}$ which leads to three domains
in the theory, namely, the deep UV domain ($l< l_c$; $au_{t}\gg 1$, $au_{t}\sim
au_{b}$), deep noncommutative domain ($l> l_c,~au_{b}>au_t\gg 1$) and deep IR
domain ($l> l_c,~au_t\ll 1$). This in turn means that the length scale $l_c$
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 of these domains by employing both analytical and numerical
techniques. The broken Lorentz symmetry induced by noncommutativity has
motivated us to redefine the entropic $c$-function. We have obtained the
noncommutative correction to the $c$-function upto leading order in the
noncommutative parameter. We have also looked at the behaviour of this quantity
over all the domains of the theory. We then move on to compute the minimal
cross-section area of the entanglement wedge by considering two disjoint
subsystems $A$ and $B$. 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 $I(A:B)$ has
also been computed. Moreover, the computations of $E_W$ 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 behaviours of these quantities.

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The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas