Universal terms for holographic entanglement entropy in noncommutative Yang-Mills theory

Nakajima, Takahito

doi:10.1103/physrevd.103.086005

Cited by 2 publications

(2 citation statements)

References 40 publications

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“…Furthermore, we also study the effect of noncommutativity on the entropic c-function. Some previous observation of various entanglement measures for NC Yang-Mills can be found in [44][45][46][47].…”

Section: Jhep02(2022)192mentioning

confidence: 99%

Entanglement wedge cross-section for noncommutative Yang-Mills theory

Chowdhury

Saha

Gangopadhyay

2022

J. High Energ. Phys.

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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) $$ \frac{l}{a} $$ l a and the turning point (in dimensionless form) introduces a critical length scale $$ \frac{l_c}{a} $$ l c 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 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 dis- joint 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 behaviours of these quantities. Finally, we consider a black hole geometry with a noncommutative parameter and study the influence of both noncommutativity and finite temperature on the various measures of quantum entanglement.

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Section: Jhep02(2022)192mentioning

confidence: 99%

Entanglement wedge cross-section for noncommutative Yang-Mills theory

Chowdhury

Saha

Gangopadhyay

2022

J. High Energ. Phys.

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“…Our motivation is to investigate the effect of the noncommutative parameter (appearing in spacetime noncommutativity) on the above information theoretic quantities. Some previous observation of various entanglement measures for NC Yang-Mills can be found in [40][41][42].…”

Section: Introductionmentioning

confidence: 99%

Entanglement wedge cross section for noncommutative Yang-Mills theory

Chowdhury,

Saha,

Gangopadhyay

2021

Preprint

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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 crosssection 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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Universal terms for holographic entanglement entropy in noncommutative Yang-Mills theory

Cited by 2 publications

References 40 publications

Entanglement wedge cross-section for noncommutative Yang-Mills theory

Entanglement wedge cross-section for noncommutative Yang-Mills theory

Entanglement wedge cross section for noncommutative Yang-Mills theory

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