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Entanglement entropy for a spatial partition of a quantum system is studied in theories which admit a dual description in terms of the anti-de Sitter (AdS) gravity one dimension higher. A general proof of the holographic formula which…

High Energy Physics - Theory · Physics 2010-02-03 Dmitri V. Fursaev

The Weyl-Wigner-Groenewold-Moyal formalism of deformation quantization is applied to the closed Friedmann-Lema\^itre-Robertson-Walker (FLRW) cosmological model. We show that the phase space average for the surface of the apparent horizon is…

General Relativity and Quantum Cosmology · Physics 2015-02-26 M. Rashki , S. Jalalzadeh

A system of fermions forming a Fermi surface exhibits a large degree of quantum entanglement, even in the absence of interactions. In particular, the usual case of a codimension one Fermi surface leads to a logarithmic violation of the area…

Strongly Correlated Electrons · Physics 2017-06-14 Michael Pretko

We compute the holographic entanglement entropy in the gravity with higher curvature terms dual to d=4 N=2 SCFTs in F-theory using the method proposed in arXiv:1011.5819. The log term of this entanglement entropy reproduces the A-type…

High Energy Physics - Theory · Physics 2012-09-03 Mitsutoshi Fujita

We evaluate the entanglement entropy of a non-minimal coupling Einstein-scalar theory with two approaches in classical Euclidean gravity. By analysing the equation of motion, we find that the entangled surface is restricted to be a minimal…

High Energy Physics - Theory · Physics 2016-06-29 Bing Sun , Weizhen Jia , Xingyang Yu

We review the results of refs. [1,2], in which the entanglement entropy in spaces with horizons, such as Rindler or de Sitter space, is computed using holography. This is achieved through an appropriate slicing of anti-de Sitter space and…

High Energy Physics - Theory · Physics 2021-08-18 Nikolaos Tetradis

An entropic-force scenario, i.e., entropic cosmology, assumes that the horizon of the universe has an entropy and a temperature. In the present study, in order to examine entropic cosmology, we derive entropic-force terms not only from the…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-30 Nobuyoshi Komatsu , Shigeo Kimura

We consider deformation of a generic $d$ dimensional ($d\geq 2$) large-$N$ CFT on a sphere by a spin-0 operator which is bilinear in the components of the stress tensor. Such a deformation has been proposed to be holographically dual to an…

High Energy Physics - Theory · Physics 2019-09-26 Aritra Banerjee , Arpan Bhattacharyya , Soumangsu Chakraborty

The tree-level scattering amplitudes of general relativity encode the full non-linearity of the Einstein field equations. Yet remarkably compact expressions for these amplitudes have been found which seem unrelated to a perturbative…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Tim Adamo

We study the holographic entanglement entropy for singular surfaces in theories described holographically by hyperscaling violating backgrounds. We consider singular surfaces consisting of cones or creases in diverse dimensions. The…

High Energy Physics - Theory · Physics 2015-10-28 Mohsen Alishahiha , Amin Faraji Astaneh , Piermarco Fonda , Farzad Omidi

We study the perturbative quantization of gauge theories and gravity. Our investigations start with the geometry of spacetimes and particle fields. Then we discuss the various Lagrange densities of (effective) Quantum General Relativity…

High Energy Physics - Theory · Physics 2022-11-23 David Prinz

We derive the holographic entanglement entropy contribution from pure and mixed gravitational Chern-Simons(CS) terms in AdS$_{2k+1}$. This is done through two different methods : first, by a direct evaluation of CS action in a holographic…

High Energy Physics - Theory · Physics 2017-02-08 Tatsuo Azeyanagi , R. Loganayagam , Gim Seng Ng

The entanglement and R\'{e}nyi entropies for spherical entangling surfaces in CFTs with gravity duals can be explicitly calculated by mapping these entropies first to the thermal entropy on hyperbolic space and then, using the AdS/CFT…

High Energy Physics - Theory · Physics 2016-09-12 Subhash Mahapatra

The surface Hamiltonian corresponding to the surface part of a gravitational action has $xp$ structure where $p$ is conjugate momentum of $x$. Moreover, it leads to $TS$ on the horizon of a black hole. Here $T$ and $S$ are temperature and…

General Relativity and Quantum Cosmology · Physics 2016-12-30 Ashish Bakshi , Bibhas Ranjan Majhi , Saurav Samanta

The growing interest of different entropy functions proposed so far (like the Bekenstein-Hawking, Tsallis, R\'{e}nyi, Barrow, Sharma-Mittal, Kaniadakis and Loop Quantum Gravity entropies) towards black hole thermodynamics as well as towards…

General Relativity and Quantum Cosmology · Physics 2023-01-04 Sergei D. Odintsov , Tanmoy Paul

We compute the area term contribution to black holes' entanglement entropy (using the conical technique) for a class of local or weakly non-local super-renormalizable gravitational theories coupled to matter. For the first time, we…

High Energy Physics - Theory · Physics 2018-09-03 Stefano Giaccari , Leonardo Modesto , Leslaw Rachwal , Yiwei Zhu

In this article we give a universal model for geometric quantization associated to a real polarization given by an integrable system with non-degenerate singularities. This universal model goes one step further than the previous cotangent…

Symplectic Geometry · Mathematics 2022-03-15 Pau Mir , Eva Miranda

We explore the generalized covariant entropy bound in the theory where Einstein gravity is perturbed by quadratic curvature terms, which can be viewed as the first-order quantum correction to Einstein gravity. By replacing the…

General Relativity and Quantum Cosmology · Physics 2023-11-10 Hu Zhu , Jie Jiang

We explore entanglement entropy of a cap-like region for a generic quantum field theory residing in the Bunch-Davies vacuum on de Sitter space. Entanglement entropy in our setup is identical with the thermal entropy in the static patch of…

High Energy Physics - Theory · Physics 2015-09-30 Omer Ben-Ami , Dean Carmi , Michael Smolkin

Symmetry-resolved entanglement, capturing the refined structure of quantum entanglement in systems with global symmetries, has attracted a lot of attention recently. In this manuscript, introducing the notion of symmetry-resolved…

Quantum Physics · Physics 2025-07-02 Fei Yan , Sara Murciano , Pasquale Calabrese , Robert Konik