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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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Анотація:
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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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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Анотація:
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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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 s
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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,
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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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Анотація:
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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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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Анотація:
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
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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 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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11

Chen, Chong-Bin, and Fu-Wen Shu. "Towards a Fisher-Information Description of Complexity in de Sitter Universe." Universe 5, no. 12 (2019): 221. http://dx.doi.org/10.3390/universe5120221.

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Recent developments on holography and quantum information physics suggest that quantum information theory has come to play a fundamental role in understanding quantum gravity. Cosmology, on the other hand, plays a significant role in testing quantum gravity effects. How to apply this idea to a realistic universe is still unknown. Here, we show that some concepts in quantum information theory have cosmological descriptions. Particularly, we show that the complexity of a tensor network can be regarded as a Fisher information measure (FIM) of a dS universe, followed by several observations: (i) t
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12

Ho, Chiu Man, and Stephen D. H. Hsu. "Entanglement and fast quantum thermalization in heavy ion collisions." Modern Physics Letters A 31, no. 18 (2016): 1650110. http://dx.doi.org/10.1142/s0217732316501108.

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Анотація:
Let [Formula: see text] be subsystem of a larger system [Formula: see text] and [Formula: see text] be a typical state from the subspace of the Hilbert space [Formula: see text] satisfying an energy constraint. Then [Formula: see text] is nearly thermal. We discuss how this observation is related to fast thermalization of the central region ([Formula: see text]) in heavy ion collisions (HIC), where [Formula: see text] represents other degrees of freedom (soft modes, hard jets, collinear particles) outside of [Formula: see text]. Entanglement between the modes in [Formula: see text] and [Formul
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13

BRODSKY, STANLEY J., GUY DE TÉRAMOND, and ALEXANDRE DEUR. "AdS/QCD, LIGHT-FRONT HOLOGRAPHY, AND THE NONPERTURBATIVE RUNNING COUPLING." International Journal of Modern Physics A 25, no. 27n28 (2010): 5009–24. http://dx.doi.org/10.1142/s0217751x10050822.

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Анотація:
The combination of Anti-de Sitter space (AdS) methods with light-front (LF) holography provides a remarkably accurate first approximation for the spectra and wavefunctions of meson and baryon light-quark bound states. The resulting bound-state Hamiltonian equation of motion in QCD leads to relativistic light-front wave equations in terms of an invariant impact variable ζ which measures the separation of the quark and gluonic constituents within the hadron at equal light-front time. These equations of motion in physical space-time are equivalent to the equations of motion which describe the pro
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14

Kundu, Arnab. "Wormholes and holography: an introduction." European Physical Journal C 82, no. 5 (2022). http://dx.doi.org/10.1140/epjc/s10052-022-10376-z.

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AbstractWormholes are intriguing classical solutions in General Relativity, that have fascinated theoretical physicists for decades. In recent years, especially in Holography, gravitational Wormhole geometries have found a new life in many theoretical ideas related to quantum aspects of gravity. These ideas primarily revolve around aspects of quantum entanglement and quantum information in (semi-classical) gravity. This is an introductory and pedagogical review of Wormholes and their recent applications in Gauge-Gravity duality and related ideas.
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15

Maulik, Sabyasachi, and Harvendra Singh. "Entanglement entropy and the first law at third order for boosted black branes." Journal of High Energy Physics 2021, no. 4 (2021). http://dx.doi.org/10.1007/jhep04(2021)065.

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Abstract Gauge/gravity duality relates an AdS black hole with uniform boost with a boosted strongly-coupled CFT at finite temperature. We study the perturbative change in holographic entanglement entropy for strip sub-region in such gravity solutions up to third order and try to formulate a first law of entanglement thermodynamics including higher order corrections. The first law receives important contribution from an entanglement chemical potential in presence of boost. We find that suitable modifications to the entanglement temperature and entanglement chemical potential are required to acc
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16

Czech, Bartłomiej, and Sirui Shuai. "Holographic cone of average entropies." Communications Physics 5, no. 1 (2022). http://dx.doi.org/10.1038/s42005-022-01019-6.

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Анотація:
AbstractThe holographic entropy cone identifies entanglement entropies of field theory regions, which are consistent with representing semiclassical spacetimes under gauge/gravity (holographic) duality. It is currently known up to five regions. Here we point out that average entropies of p-partite subsystems can be similarly analyzed for arbitrarily many regions. We conjecture that the holographic cone of average entropies is simplicial and specify all its bounding inequalities and extreme rays, which combine features of perfect tensor and bipartite entanglement. Heuristically, the conjecture
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17

Cao, ChunJun, and Brad Lackey. "Approximate Bacon-Shor code and holography." Journal of High Energy Physics 2021, no. 5 (2021). http://dx.doi.org/10.1007/jhep05(2021)127.

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Abstract We explicitly construct a class of holographic quantum error correction codes with non-trivial centers in the code subalgebra. Specifically, we use the Bacon-Shor codes and perfect tensors to construct a gauge code (or a stabilizer code with gauge-fixing), which we call the holographic hybrid code. This code admits a local log-depth encoding/decoding circuit, and can be represented as a holographic tensor network which satisfies an analog of the Ryu-Takayanagi formula and reproduces features of the sub-region duality. We then construct approximate versions of the holographic hybrid co
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18

Anastasiou, Giorgos, Ignacio J. Araya, Andrés Argandoña, and Rodrigo Olea. "CFT correlators from shape deformations in Cubic Curvature Gravity." Journal of High Energy Physics 2022, no. 11 (2022). http://dx.doi.org/10.1007/jhep11(2022)031.

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Abstract We find a covariant expression for the universal part of the holographic entanglement entropy which is valid for CFTs dual to generic higher curvature gravities in up to five bulk dimensions. We use this functional to compute universal coefficients of stress-tensor correlators in three-dimensional CFTs dual to Cubic Curvature Gravity. Using gauge/gravity duality, we work out an expression for the entanglement entropy of deformed entangling regions and read the coefficients from the power expansion of the entropy in the deformation parameter. In particular, we obtain the t4 coefficient
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19

Gautam, Vaibhav, Masanori Hanada, Antal Jevicki, and Cheng Peng. "Matrix entanglement." Journal of High Energy Physics 2023, no. 1 (2023). http://dx.doi.org/10.1007/jhep01(2023)003.

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Abstract In gauge/gravity duality, matrix degrees of freedom on the gauge theory side play important roles for the emergent geometry. In this paper, we discuss how the entanglement on the gravity side can be described as the entanglement between matrix degrees of freedom. Our approach, which we call ‘matrix entanglement’, is different from ‘target-space entanglement’ proposed and discussed recently by several groups. We consider several classes of quantum states to which our approach can play important roles. When applied to fuzzy sphere, matrix entanglement can be used to define the usual spa
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20

Das, Sumit R., Anurag Kaushal, Sinong Liu, Gautam Mandal, and Sandip P. Trivedi. "Gauge invariant target space entanglement in D-brane holography." Journal of High Energy Physics 2021, no. 4 (2021). http://dx.doi.org/10.1007/jhep04(2021)225.

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Abstract It has been suggested in arXiv:2004.00613 that in Dp-brane holography, entanglement in the target space of the D-brane Yang-Mills theory provides a precise notion of bulk entanglement in the gravity dual. We expand on this discussion by providing a gauge invariant characterization of operator sub-algebras corresponding to such entanglement. This is achieved by finding a projection operator which imposes a constraint characterizing the target space region of interest. By considering probe branes in the Coloumb branch we provide motivation for why the operator sub-algebras we consider a
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21

Anous, Tarek, Joanna Karczmarek, Eric Mintun, Mark Van Raamsdonk, and Benson Way. "Areas and entropies in BFSS/gravity duality." SciPost Physics 8, no. 4 (2020). http://dx.doi.org/10.21468/scipostphys.8.4.057.

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Анотація:
The BFSS matrix model provides an example of gauge-theory / gravity duality where the gauge theory is a model of ordinary quantum mechanics with no spatial subsystems. If there exists a general connection between areas and entropies in this model similar to the Ryu-Takayanagi formula, the entropies must be more general than the usual subsystem entanglement entropies. In this note, we first investigate the extremal surfaces in the geometries dual to the BFSS model at zero and finite temperature. We describe a method to associate regulated areas to these surfaces and calculate the areas explicit
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22

Arean, Daniel, Karl Landsteiner, and Ignacio Salazar Landea. "Non-hermitian holography." SciPost Physics 9, no. 3 (2020). http://dx.doi.org/10.21468/scipostphys.9.3.032.

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Анотація:
Quantum theory can be formulated with certain non-Hermitian Hamiltonians. An anti-linear involution, denoted by PT, is a symmetry of such Hamiltonians. In the PT-symmetric regime the non-Hermitian Hamiltonian is related to a Hermitian one by a Hermitian similarity transformation. We extend the concept of non-Hermitian quantum theory to gauge-gravity duality. Non-Hermiticity is introduced via boundary conditions in asymptotically AdS spacetimes. At zero temperature the PT phase transition is identified as the point at which the solutions cease to be real. Surprisingly at finite temperature real
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23

Dong, Xi, Daniel Harlow, and Aron C. Wall. "Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality." Physical Review Letters 117, no. 2 (2016). http://dx.doi.org/10.1103/physrevlett.117.021601.

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24

Hikida, Yasuaki, Tatsuma Nishioka, Tadashi Takayanagi, and Yusuke Taki. "CFT duals of three-dimensional de Sitter gravity." Journal of High Energy Physics 2022, no. 5 (2022). http://dx.doi.org/10.1007/jhep05(2022)129.

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Abstract We present a class of dS/CFT correspondence between two-dimensional CFTs and three-dimensional de Sitter spaces. We argue that such a CFT includes an SU(2) WZW model in the critical level limit k → −2, which corresponds to the classical gravity limit. We can generalize this dS/CFT by considering the SU(N) WZW model in the critical level limit k → −N, dual to the higher-spin gravity on a three-dimensional de Sitter space. We confirm that under this proposed duality the classical partition function in the gravity side can be reproduced from CFT calculations. We also point out a duality
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25

Setare, M. R., and M. Koohgard. "Holographic entanglement entropy and modular Hamiltonian in warped CFT in the framework of GMMG model." European Physical Journal C 81, no. 11 (2021). http://dx.doi.org/10.1140/epjc/s10052-021-09788-0.

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AbstractWe study some aspects of a class of non-AdS holography where the 3D bulk gravity is given by generalized minimal massive gravity (GMMG). We consider the spacelike warped $$AdS_3$$ A d S 3 ($$WAdS_3$$ W A d S 3 ) black hole solution of this model where the 2d dual boundary theory is the warped conformal field theory (WFCT). The charge algebra of the isometries in the bulk and the charge algebra of the vacuum symmetries at the boundary are compatible and this is an evidence for the duality conjecture. Further evidence for this duality is the equality of entanglement entropy and modular H
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26

Mukhopadhyay, Ayan. "Editorial: New frontiers in holographic duality." European Physical Journal C 82, no. 10 (2022). http://dx.doi.org/10.1140/epjc/s10052-022-10838-4.

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Анотація:
AbstractOver the last 25 years, holographic duality has revolutionised our understanding of gauge theories, quantum many-body systems and also quantum black holes. This topical issue is a collection of review articles on recent advances in fundamentals of holographic duality and its applications with special focus on a few areas where it is inter-disciplinary to a large measure. The aim is to provide a sufficient background on relevant phenomenology and other theoretical areas such as quantum information theory to researchers whose primary expertise is in quantum fields, strings and gravity, a
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27

Sekino, Yasuhiro. "Evidence for weak-coupling holography from the gauge/gravity correspondence for Dp-branes." Progress of Theoretical and Experimental Physics 2020, no. 2 (2020). http://dx.doi.org/10.1093/ptep/ptz167.

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Анотація:
Abstract Gauge/gravity correspondence is regarded as a powerful tool for the study of strongly coupled quantum systems, but its proof is not available. An unresolved issue that should be closely related to the proof is what kind of correspondence exists, if any, when gauge theory is weakly coupled. We report progress about this limit for the case associated with D$p$-branes ($0\le p\le 4$), namely, the duality between the $(p+1)$D maximally supersymmetric Yang–Mills theory and superstring theory on the near-horizon limit of the D$p$-brane solution. It has been suggested by supergravity analysi
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28

Monteiro, Ricardo. "Celestial chiral algebras, colour-kinematics duality and integrability." Journal of High Energy Physics 2023, no. 1 (2023). http://dx.doi.org/10.1007/jhep01(2023)092.

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Анотація:
Abstract We study celestial chiral algebras appearing in celestial holography, using the light-cone gauge formulation of self-dual Yang-Mills theory and self-dual gravity, and explore also a deformation of the latter. The recently discussed w1+∞ algebra in self-dual gravity arises from the soft expansion of an area-preserving diffeomorphism algebra, which plays the role of the kinematic algebra in the colour-kinematics duality and the double copy relation between the self-dual theories. The W1+∞ deformation of w1+∞ arises from a Moyal deformation of self-dual gravity. This theory is interprete
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29

Suzuki, Kenta, and Tadashi Takayanagi. "BCFT and Islands in two dimensions." Journal of High Energy Physics 2022, no. 6 (2022). http://dx.doi.org/10.1007/jhep06(2022)095.

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Анотація:
Abstract By combining the AdS/BCFT correspondence and the brane world holography, we expect an equivalence relation between a boundary conformal field theory (BCFT) and a gravitational system coupled to a CFT. However, it still remains unclear how the boundary condition of the BCFT is translated in the gravitational system. We examine this duality relation in a two-dimensional setup by looking at the computation of entanglement entropy and energy flux conservation. We also identify the two-dimensional gravity which is dual to the boundary dynamics of a BCFT. Moreover, we show that by consideri
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30

Bah, Ibrahima, Federico Bonetti, Ruben Minasian, and Emily Nardoni. "M5-brane sources, holography, and Argyres-Douglas theories." Journal of High Energy Physics 2021, no. 11 (2021). http://dx.doi.org/10.1007/jhep11(2021)140.

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Анотація:
Abstract We initiate a study of the holographic duals of a class of four-dimensional $$ \mathcal{N} $$ N = 2 superconformal field theories that are engineered by wrapping M5-branes on a sphere with an irregular puncture. These notably include the strongly-coupled field theories of Argyres-Douglas type. Our solutions are obtained in 7d gauged supergravity, where they take the form of a warped product of AdS5 and a “half-spindle.” The irregular puncture is modeled by a localized M5-brane source in the internal space of the gravity duals. Our solutions feature a realization of supersymmetry that
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31

Dong, Xi, Xiao-Liang Qi, and Michael Walter. "Holographic entanglement negativity and replica symmetry breaking." Journal of High Energy Physics 2021, no. 6 (2021). http://dx.doi.org/10.1007/jhep06(2021)024.

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Анотація:
Abstract Since the work of Ryu and Takayanagi, deep connections between quantum entanglement and spacetime geometry have been revealed. The negative eigenvalues of the partial transpose of a bipartite density operator is a useful diagnostic of entanglement. In this paper, we discuss the properties of the associated entanglement negativity and its Rényi generalizations in holographic duality. We first review the definition of the Rényi negativities, which contain the familiar logarithmic negativity as a special case. We then study these quantities in the random tensor network model and rigorous
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32

Das, Sumit R., Shaun Hampton, and Sinong Liu. "Entanglement entropy and phase space density: lowest Landau levels and 1/2 BPS states." Journal of High Energy Physics 2022, no. 6 (2022). http://dx.doi.org/10.1007/jhep06(2022)046.

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Анотація:
Abstract We consider the entanglement entropy of an arbitrary subregion in a system of N non-relativistic fermions in 2+1 dimensions in Lowest Landau Level (LLL) states. Using the connection of these states to those of an auxiliary 1 + 1 dimensional fermionic system, we derive an expression for the leading large-N contribution in terms of the expectation value of the phase space density operator in 1 + 1 dimensions. For appropriate subregions the latter can replaced by its semiclassical Thomas-Fermi value, yielding expressions in terms of explicit integrals which can be evaluated analytically.
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33

Chowdhury, Chandramouli, Olga Papadoulaki, and Suvrat Raju. "A physical protocol for observers near the boundary to obtain bulk information in quantum gravity." SciPost Physics 10, no. 5 (2021). http://dx.doi.org/10.21468/scipostphys.10.5.106.

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Анотація:
We consider a set of observers who live near the boundary of global AdS, and are allowed to act only with simple low-energy unitaries and make measurements in a small interval of time. The observers are not allowed to leave the near-boundary region. We describe a physical protocol that nevertheless allows these observers to obtain detailed information about the bulk state. This protocol utilizes the leading gravitational back-reaction of a bulk excitation on the metric, and also relies on the entanglement-structure of the vacuum. For low-energy states, we show how the near-boundary observers c
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34

Chen, Xun, Lin Zhang, and DeFu Hou. "Running coupling constant at finite chemical potential and magnetic field from holography." Chinese Physics C, March 10, 2022. http://dx.doi.org/10.1088/1674-1137/ac5c2d.

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Анотація:
Abstract According to the gauge/gravity duality, we use an Einstein-Maxwell-dilaton(EMD) model to study the running coupling constant at finite chemical potential and magnetic field. First, we calculate the effect of temperature on the running coupling constant and find the results are in consistent with lattice qualitatively. Subsequently, we calculate the effect of chemical potential and magnetic field on running coupling. It is found that the chemical potential and magnetic field both suppress the running coupling constant, however, the effect of magnetic field is slightly larger than chemi
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35

Grieninger, Sebastian, and Ashish Shukla. "Second order equilibrium transport in strongly coupled $$ \mathcal{N} $$ = 4 supersymmetric SU(Nc) Yang-Mills plasma via holography." Journal of High Energy Physics 2021, no. 8 (2021). http://dx.doi.org/10.1007/jhep08(2021)108.

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Abstract A relativistic fluid in 3+1 dimensions with a global U(1) symmetry admits nine independent static susceptibilities at the second order in the hydrodynamic derivative expansion, which capture the response of the fluid in thermal equilibrium to the presence of external time-independent sources. Of these, seven are time-reversal $$ \mathbbm{T} $$ T invariant and can be obtained from Kubo formulas involving equilibrium two-point functions of the energy-momentum tensor and the U(1) current. Making use of the gauge/gravity duality along with the aforementioned Kubo formulas, we compute all
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36

Attems, Maximilian. "Holographic approach of the spinodal instability to criticality." Journal of High Energy Physics 2021, no. 8 (2021). http://dx.doi.org/10.1007/jhep08(2021)155.

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Abstract A smoking gun signature for a first-order phase transition with negative speed of sound squared $$ {c}_s^2 $$ c s 2 is the occurrence of a spinodal instability. In the gauge/gravity duality it corresponds to a Gregory-Laflamme type instability, which can be numerically simulated as the evolution of unstable planar black branes. Making use of holography its dynamics is studied far from and near a critical point with the following results. Near a critical point the interface between cold and hot stable phases, given by its width and surface tension, is found to feature a wider phase sep
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37

Tahery, Sara, xiaopeng Wang, and Xu-rong 陈旭荣 Chen. "Deep inelastic scattering with proton target in the presence of gluon condensation using holography." Chinese Physics C, September 21, 2022. http://dx.doi.org/10.1088/1674-1137/ac936b.

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Abstract We study the deep inelastic scattering (DIS) of a proton-targeted lepton in the presence of gluon condensation using gauge/gravity duality. We use a modified AdS_5 background where the modification parameter c corresponds to the gluon condensation in the boundary theory. Firstly, when examining the electromagnetic field, we nd that non-zero c can increase the magnitude of the field. Our goal is to nd the acceptable value of c for this scattering and our method is based on setting the mass of the proton as an eigenvalue of the baryonic state equations of the DIS to nd the acceptable va
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38

Piątek, M. R., R. G. Nazmitdinov, A. Puente, and A. R. Pietrykowski. "Classical conformal blocks, Coulomb gas integrals and Richardson-Gaudin models." Journal of High Energy Physics 2022, no. 4 (2022). http://dx.doi.org/10.1007/jhep04(2022)098.

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Abstract Virasoro conformal blocks are universal ingredients of correlation functions of two-dimensional conformal field theories (2d CFTs) with Virasoro symmetry. It is acknowledged that in the (classical) limit of large central charge of the Virasoro algebra and large external, and intermediate conformal weights with fixed ratios of these parameters Virasoro blocks exponentiate to functions known as Zamolodchikovs’ classical blocks. The latter are special functions which have awesome mathematical and physical applications. Uniformization, monodromy problems, black holes physics, quantum grav
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