Academic literature on the topic 'Gauge/gravity duality, entanglement in holography'

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Journal articles on the topic "Gauge/gravity duality, entanglement in holography"

1

Jang, Dongmin, Yoonbai Kim, O.-Kab Kwon, and D. D. Tolla. "Exact Holography of Massive M2-brane Theories and Entanglement Entropy." EPJ Web of Conferences 168 (2018): 07002. http://dx.doi.org/10.1051/epjconf/201816807002.

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We test the gauge/gravity duality between the N = 6 mass-deformed ABJM theory with Uk(N) × U-k(N) gauge symmetry and the 11-dimensional supergravity on LLM geometries with SO(4)=ℤk × SO(4)=ℤk isometry. Our analysis is based on the evaluation of vacuum expectation values of chiral primary operators from the supersymmetric vacua of mass-deformed ABJM theory and from the implementation of Kaluza-Klein (KK) holography to the LLM geometries. We focus on the chiral primary operator (CPO) with conformal dimension Δ = 1. The non-vanishing vacuum expectation value (vev) implies the breaking of conforma
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Obregón, O. "Generalized information and entanglement entropy, gravitation and holography." International Journal of Modern Physics A 30, no. 16 (2015): 1530039. http://dx.doi.org/10.1142/s0217751x15300392.

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A nonextensive statistical mechanics entropy that depends only on the probability distribution is proposed in the framework of superstatistics. It is based on a Γ(χ2) distribution that depends on β and also on pl. The corresponding modified von Neumann entropy is constructed; it is shown that it can also be obtained from a generalized Replica trick. We further demonstrate a generalized H-theorem. Considering the entropy as a function of the temperature and volume, it is possible to generalize the equation of state of an ideal gas. Moreover, following the entropic force formulation a generalize
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Momeni, Davood, and Phongpichit Channuie. "Fold bifurcation entangled surfaces for one-dimensional Kitaev lattice model." International Journal of Geometric Methods in Modern Physics 18, no. 10 (2021): 2150151. http://dx.doi.org/10.1142/s0219887821501516.

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In this paper, we investigate a feasible holography with the Kitaev model using dilatonic gravity in AdS2. We propose a generic dual theory of gravity in the AdS2 and suggest that this bulk action is a suitable toy model in studying quantum mechanics in Kitaev model using gauge/gravity duality. This gives a possible equivalent description for the Kitaev model in the dual gravity bulk. Scalar and tensor perturbations are investigated in details. In the case of near AdS perturbation, we show that the geometry still “freezes” as is AdS, while the dilation perturbation decays at the AdS boundary s
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Park, Chanyong. "Holographic Aspects of a Relativistic Nonconformal Theory." Advances in High Energy Physics 2013 (2013): 1–16. http://dx.doi.org/10.1155/2013/389541.

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We study a generalD-dimensional Schwarzschild-type black brane solution of the Einstein-dilaton theory and derive, by using the holographic renormalization, its thermodynamics consistent with the geometric results. Using the membrane paradigm, we calculate the several hydrodynamic transport coefficients and compare them with the results obtained by the Kubo formula, which shows the self-consistency of the gauge/gravity duality in the relativistic nonconformal theory. In order to understand more about the relativistic non-conformal theory, we further investigate the binding energy, drag force,
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5

Landsteiner, Karl. "From Tquantum mechanics to PT holography." EPJ Web of Conferences 270 (2022): 00031. http://dx.doi.org/10.1051/epjconf/202227000031.

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PT quantum mechanics studies the physics of non-Hermitian Hamiltonians having an anti-linear involution denoted by PT as a symmetry. We extend the concept of PT non-Hermitian quantum theory to gauge-gravity duality. Non-Hermiticity is introduced via boundary conditions in asymptotically AdS spacetimes. We identify how key properites such as the PT phase transition are implemented in the gauge-gravity duality. Then we move on to study time dependent systems (holographic quantum quenches) and discuss how Hermitian and non-Hermitian time evolution arise in PT quantum mechanics and how it is imple
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Bhatnagar, Neha. "Some Applications of Holography to Study Strongly Correlated Systems." EPJ Web of Conferences 177 (2018): 09002. http://dx.doi.org/10.1051/epjconf/201817709002.

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In this work, we study the transport coefficients of strongly coupled condensed matter systems using gauge/gravity duality (holography). We consider examples from the real world and evaluate the conductivities from their gravity duals. Adopting the bottom-up approach of holography, we obtain the frequency response of the conductivity for (1+1)-dimensional systems. We also evaluate the DC conductivities for non-relativistic condensed matter systems with hyperscaling violating geometry.
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BHATTACHARYYA, ARPAN, and ANINDA SINHA. "ENTANGLEMENT ENTROPY FROM SURFACE TERMS IN GENERAL RELATIVITY." International Journal of Modern Physics D 22, no. 12 (2013): 1342020. http://dx.doi.org/10.1142/s0218271813420200.

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Entanglement entropy in local quantum field theories is typically ultraviolet divergent due to short distance effects in the neighborhood of the entangling region. In the context of gauge/gravity duality, we show that surface terms in general relativity are able to capture this entanglement entropy. In particular, we demonstrate that for 1 + 1-dimensional (1 + 1d) conformal field theories (CFTs) at finite temperature whose gravity dual is Banados–Teitelboim–Zanelli (BTZ) black hole, the Gibbons–Hawking–York term precisely reproduces the entanglement entropy which can be computed independently
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Pahlavani, M. R., and R. Morad. "Application of AdS/CFT in Nuclear Physics." Advances in High Energy Physics 2014 (2014): 1–19. http://dx.doi.org/10.1155/2014/863268.

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We review some recent progress in studying the nuclear physics especially nucleon-nucleon (NN) force within the gauge-gravity duality, in context of noncritical string theory. Our main focus is on the holographic QCD model based on the AdS6background. We explain the noncritical holography model and obtain the vector-meson spectrum and pion decay constant. Also, we study the NN interaction in this frame and calculate the nucleonmeson coupling constants. A further topic covered is a toy model for calculating the light nuclei potential. In particular, we calculate the light nuclei binding energie
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9

de Téramond, Guy F., and Stanley J. Brodsky. "Light-Front Holography and Gauge/Gravity Duality: The Light Meson and Baryon Spectra." Nuclear Physics B - Proceedings Supplements 199, no. 1 (2010): 89–96. http://dx.doi.org/10.1016/j.nuclphysbps.2010.02.010.

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10

Jahn, A., M. Gluza, F. Pastawski, and J. Eisert. "Holography and criticality in matchgate tensor networks." Science Advances 5, no. 8 (2019): eaaw0092. http://dx.doi.org/10.1126/sciadv.aaw0092.

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The AdS/CFT correspondence conjectures a holographic duality between gravity in a bulk space and a critical quantum field theory on its boundary. Tensor networks have come to provide toy models to understand these bulk-boundary correspondences, shedding light on connections between geometry and entanglement. We introduce a versatile and efficient framework for studying tensor networks, extending previous tools for Gaussian matchgate tensors in 1 + 1 dimensions. Using regular bulk tilings, we show that the critical Ising theory can be realized on the boundary of both flat and hyperbolic bulk la
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