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We explore the emergence of gravitation from entanglement in holographic CFTs with gravitational anomalies. More specifically, the holographic correspondence between topologically massive gravity (TMG) with gravitational Chern-Simons term…

高能物理 - 理论 · 物理学 2020-01-08 Hongliang Jiang

We compute the holographic entanglement entropy for the anomaly polynomial $\mathrm{Tr} R^2$ in 3+1 dimensions. Using the perturbative method developed for computing entanglement entropy for quantum field theories, we also compute the…

高能物理 - 理论 · 物理学 2017-03-31 Tibra Ali , S. Shajidul Haque , Jeff Murugan

In this paper we study the entanglement entropy in the CFT$_2$, whose gravity dual is AdS$_3$ spacetime with a Chern-Simons term. Using the generalized Rindler method, we obtain the Rindler transformation in the two-dimensional planar CFT…

高能物理 - 理论 · 物理学 2023-11-23 Peng-Zhang He , Hai-Qing Zhang

The holographic duality can be extended to include quantum theories with broken coordinate invariance leading to the appearance of the gravitational anomalies. On the gravity side one adds the gravitational Chern-Simons term to the bulk…

高能物理 - 理论 · 物理学 2009-11-11 Sergey N. Solodukhin

A holographic correspondence has been recently developed between higher spin theories in three-dimensional anti-de Sitter space (AdS_3) and two-dimensional Conformal Field Theories (CFTs) with extended symmetries. A class of such dualities…

高能物理 - 理论 · 物理学 2018-10-09 Jan de Boer , Juan I. Jottar

Holographic entanglement entropy is a key concept linking quantum information theory and gravity. Since the original conjecture of Ryu and Takayanagi, holographic entanglement entropy has been generalized beyond Einstein--Hilbert gravity to…

高能物理 - 理论 · 物理学 2026-02-13 Dušan Đorđević , Dragoljub Gočanin

We investigate mixed state entanglement measures of entanglement negativity and reflected entropy for bipartite states in two dimensional conformal field theories with an anomaly through appropriate replica techniques. Furthermore we…

高能物理 - 理论 · 物理学 2022-06-24 Debarshi Basu , Himanshu Parihar , Vinayak Raj , Gautam Sengupta

We present the analytical calculation of entanglement entropy for a class of two dimensional field theories governed by the symmetries of the Galilean conformal algebra, thus providing a rare example of such an exact computation. These…

高能物理 - 理论 · 物理学 2015-03-25 Arjun Bagchi , Rudranil Basu , Daniel Grumiller , Max Riegler

We study holographic entanglement entropy in four-dimensional quantum gravity with negative cosmological constant. By using the replica trick and evaluating path integrals in the minisuperspace approximation, in conjunction with the…

高能物理 - 理论 · 物理学 2020-04-15 Shinji Hirano

We derive the holographic entanglement entropy functional for a generic gravitational theory whose action contains terms up to cubic order in the Riemann tensor, and in any dimension. This is the simplest case for which the so-called…

高能物理 - 理论 · 物理学 2023-01-11 Elena Cáceres , Rodrigo Castillo Vásquez , Alejandro Vilar López

From the perspective of AdS/CFT correspondence, we study the gravitational Chern-Simons term correction to the holographic entanglement entropy of CFT on the conformal boundary of asymptotically AdS$_3$ spacetime using the off-shell…

高能物理 - 理论 · 物理学 2013-06-17 Jia-Rui Sun

The Ryu-Takayanagi conjecture predicts a holographic dual of the entanglement entropy of a CFT. It proposes that the entanglement entropy is given by the area of the minimal surface in the dual spacetime. In the semi-classical limit, this…

高能物理 - 理论 · 物理学 2022-07-19 Jun Tsujimura , Yasusada Nambu

The Ryu-Takayanagi and covariant Hubeny-Rangamani-Takayanagi proposals relate entanglement entropy in CFTs with holographic duals to the areas of minimal or extremal surfaces in the bulk geometry. We show how, in three dimensional pure…

高能物理 - 理论 · 物理学 2015-06-23 Henry Maxfield

We study shape-deformations of the entanglement entropy and the modular Hamiltonian for an arbitrary subregion and state (with a smooth dual geometry) in a holographic conformal field theory. More precisely, we study a double-deformation…

高能物理 - 理论 · 物理学 2018-07-04 Aitor Lewkowycz , Onkar Parrikar

We investigate constraints imposed by entanglement on gravity in the context of holography. First, by demanding that relative entropy is positive and using the Ryu-Takayanagi entropy functional, we find certain constraints at a nonlinear…

高能物理 - 理论 · 物理学 2015-06-18 Shamik Banerjee , Arpan Bhattacharyya , Apratim Kaviraj , Kallol Sen , Aninda Sinha

In an odd-dimensional spacetime, gravity can be formulated as a proper gauge theory based on the Chern-Simons action for a suitable gauge group. Performing dimensional reduction, one obtains, as an effective theory, Chamseddine's…

高能物理 - 理论 · 物理学 2024-01-31 Dušan Đorđević , Dragoljub Gočanin

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…

高能物理 - 理论 · 物理学 2017-02-08 Tatsuo Azeyanagi , R. Loganayagam , Gim Seng Ng

In the AdS/CFT correspondence one encounters theories that are not invariant under diffeomorphisms. In the boundary theory this is a gravitational anomaly, and can arise in 4k+2 dimensions. In the bulk, there can be gravitational…

高能物理 - 理论 · 物理学 2010-04-06 Per Kraus , Finn Larsen

We calculate quantum corrections to holographic entanglement entropy in the proposed duality between $T\bar{T}$-deformed holographic 2D CFTs and gravity in AdS$_{3}$ with a finite cutoff. We first establish the dictionary between the two…

高能物理 - 理论 · 物理学 2020-05-20 William Donnelly , Elise LePage , Yan-Yan Li , Andre Pereira , Vasudev Shyam

The Renyi entropies and entanglement entropy of 1+1 CFTs with gravity duals can be computed by explicit construction of the bulk spacetimes dual to branched covers of the boundary geometry. At the classical level in the bulk this has…

高能物理 - 理论 · 物理学 2013-12-16 Taylor Barrella , Xi Dong , Sean A. Hartnoll , Victoria L. Martin
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