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Готові списки джерел за темами / Gauge/gravity duality, entanglement in holography

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Добірка наукової літератури з теми "Gauge/gravity duality, entanglement in holography"

Автор: Grafiati

Опубліковано: 10 березня 2023

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Статті в журналах з теми "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 conformal symmetry. In that case, we show that the variation of the holographic entanglement entropy (HEE) from it’s value in the CFT, is related to the non-vanishing one-point function due to the relevant deformation as well as the source field. Applying Ryu Takayanagi’s HEE conjecture to the 4-dimensional gravity solutions, which are obtained from the KK reduction of the 11-dimensional LLM solutions, we calculate the variation of the HEE. We show how the vev and the value of the source field determine the HEE.

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2

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 generalized Newton's law is obtained, and following the proposal that the Einstein equations can be deduced from the Clausius law, we discuss on the structure that a generalized Einstein's theory would have. Lastly, we address the question whether the generalized entanglement entropy can play a role in the gauge/gravity duality. We pay attention to 2d CFT and their gravity duals. The correction terms to the von Neumann entropy result more relevant than the usual UV ones and also than those due to the area dependent AdS3 entropy which result comparable to the UV ones. Then the correction terms due to the new entropy would modify the Ryu–Takayanagi identification between the CFT entanglement entropy and the AdS entropy in a different manner than the UV ones or than the corrections to the AdS3 area dependent entropy.

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3

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 safely. The time-dependent part of the perturbation is an oscillatory model. We discover that the dual gravity induces an effective and renormalizable quantum action. The entanglement entropy for bulk theory is computed using extremal surfaces. We prove that these surfaces have a fold bifurcation regime of criticality.

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4

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, and holographic entanglement entropy of the relativistic non-conformal theory.

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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 implemented in the gauge-gravity duality. A key feature is that the non-Hermitian time evolution violates the null energy condition (NEC) and speculate about possible applications.

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6

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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7

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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Анотація:

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 in the field theory.

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8

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 energies and also excited energies of some available excited states. We compare our results with the results of other nuclear models and also with the experimental data. Moreover, we describe some other issues which are studied using the gauge-gravity duality.

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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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Анотація:

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 lattices, obtaining highly accurate critical data. Within our framework, we also produce translation-invariant critical states by an efficiently contractible tensor network with the geometry of the multiscale entanglement renormalization ansatz. Furthermore, we establish a link between holographic quantum error–correcting codes and tensor networks. This work is expected to stimulate a more comprehensive study of tensor network models capturing bulk-boundary correspondences.

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