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We establish our recently proposed holographic entanglement negativity conjecture for mixed states of adjacent subsystems in conformal field theories with concrete higher dimensional examples. In this context we compute the holographic…

High Energy Physics - Theory · Physics 2018-08-07 Parul Jain , Vinay Malvimat , Sayid Mondal , Gautam Sengupta

One of the key applications of AdS/CFT correspondence is the duality it dictates between the entanglement entropy of Anti-de Sitter (AdS) black holes and lower-dimensional conformal field theories (CFTs). Here we employ a square lattice of…

High Energy Physics - Theory · Physics 2023-12-08 Aydin Deger , Matthew D. Horner , Jiannis K. Pachos

We explore properties of the universal terms in the entanglement entropy and logarithmic negativity in 4d CFTs, aiming to clarify the ways in which they behave like the analogous entanglement measures in quantum mechanics. We show that,…

High Energy Physics - Theory · Physics 2015-10-28 Eric Perlmutter , Mukund Rangamani , Massimiliano Rota

Using extended island formula we compute entanglement entropy of Hawking radiation for black hole solutions of certain gravitational models containing higher derivative terms. To be concrete we consider two different four dimensional models…

High Energy Physics - Theory · Physics 2021-02-24 Mohsen Alishahiha , Amin Faraji Astaneh , Ali Naseh

We examine a stationary but non-static asymptotically AdS_3 spacetime with two causally connected conformal boundaries, each of which is a ``null cylinder'', namely a cylinder with a null direction identified. This spacetime arises from…

High Energy Physics - Theory · Physics 2009-11-10 Vijay Balasubramanian , Asad Naqvi , Joan Simon

A solvable current-current deformation of the worldsheet theory of strings on $AdS_3$ has been recently conjectured to be dual to an irrelevant deformation of the spacetime orbifold CFT, commonly referred to as single-trace $T\bar{T}$.…

High Energy Physics - Theory · Physics 2023-01-11 Jeremias Aguilera-Damia , Louise M. Anderson , Evan Coleman

It has been suggested in recent work that the Page curve of Hawking radiation can be recovered using computations in semi-classical gravity provided one allows for "islands" in the gravity region of quantum systems coupled to gravity. The…

High Energy Physics - Theory · Physics 2020-07-01 Ahmed Almheiri , Raghu Mahajan , Jorge E. Santos

Using the AdS/CFT correspondence we derive a formula for the entanglement entropy of the anti-de Sitter black hole in two spacetime dimensions. The leading term in the large black hole mass expansion of our formula reproduces exactly the…

High Energy Physics - Theory · Physics 2008-11-26 Mariano Cadoni

In the framework of the AdS/CFT correspondence, imposing a scalar field in the bulk space-time leads to deform the corresponding CFT in the boundary, which may produce corrections to entanglement entropy, as well as the so-called subregion…

High Energy Physics - Theory · Physics 2019-07-24 Elaheh Bakhshaei , Ahmad Shirzad

The entanglement wedge cross section in holographic picture provides a geometrical description of the entanglement for mixed states. In this paper we study the inequalities for the entanglement wedge cross section in AdS/BCFT duality. In…

High Energy Physics - Theory · Physics 2022-11-03 Pan Li , Yi Ling

In this work, we study the holographic entanglement entropy in AdS$_3$ gravity with the certain mixed boundary condition, which turns out to correspond to $T\bar{T}$-deformed 2D CFTs. By employing the Chern-Simons formalism and Wilson line…

High Energy Physics - Theory · Physics 2023-05-09 Miao He , Yuan Sun

We point out that the entropy of (near) extremal black holes can be interpreted as the entanglement entropy of dual conformal quantum mechanics via AdS2/CFT1. As an explicit example, we study near extremal BTZ black holes and derive this…

High Energy Physics - Theory · Physics 2008-11-26 Tatsuo Azeyanagi , Tatsuma Nishioka , Tadashi Takayanagi

We study the entanglement entropy of a subsystem in contact with symmetrical bath where the complete system lives on the boundary of AdS3 spacetime. The system-A is taken to be in the middle of the bath system-B and the full system is taken…

High Energy Physics - Theory · Physics 2024-02-13 Harvendra Singh

We calculate logarithmic negativity, a quantum entanglement measure for mixed quantum states, in quantum error-correcting codes and find it to equal the minimal cross sectional area of the entanglement wedge in holographic codes with a…

High Energy Physics - Theory · Physics 2022-02-08 Jonah Kudler-Flam , Shinsei Ryu

We study and construct spacetimes, dubbed planar AdS-dS-wormholes, satisfying the null energy condition and having two asymptotically AdS boundaries connected through a (non-traversable) inflating wormhole. As for other wormholes, it is…

High Energy Physics - Theory · Physics 2016-01-20 Sebastian Fischetti , Donald Marolf , Aron C. Wall

We investigate the time evolution of entanglement negativity following a global quench for mixed state configurations of two disjoint and adjacent intervals in a ($1+1$)-dimensional conformal field theory ($CFT_{1+1}$) dual to the eternal…

High Energy Physics - Theory · Physics 2019-06-04 Vinay Malvimat , Sayid Mondal , Gautam Sengupta

We use the notion of double holography to study Hawking radiation emitted by the eternal BTZ black hole in equilibrium with a thermal bath, but in the form of warped CFT$_2$ degrees of freedom. In agreement with the literature, we find…

High Energy Physics - Theory · Physics 2021-07-22 Elena Caceres , Arnab Kundu , Ayan K. Patra , Sanjit Shashi

In this paper, we study the $AdS/BCFT$ construction in $AdS_3$ and the BTZ black hole spacetime. We find a new solution to the equation for the End of the World (EoW) brane. The induced metric on this solution is that of $dS_2$ with an…

High Energy Physics - Theory · Physics 2021-12-28 Mohd Ali , Vardarajan Suneeta

We systematically calculate the quantum extremal surface (QES) associated with Hawking radiation for general $D$-dimensional ($D\geq2$) asymptotically flat (or AdS) eternal black holes using the island formula. We collect the Hawking…

High Energy Physics - Theory · Physics 2022-05-25 Song He , Yuan Sun , Long Zhao , Yu-Xuan Zhang

We present a derivation of the holographic dual of logarithmic negativity in AdS$_3$/CFT$_2$ that was recently conjectured in [Phys. Rev. D 99, 106014 (2019)]. This is given by the area of an extremal cosmic brane that terminates on the…

High Energy Physics - Theory · Physics 2022-01-21 Yuya Kusuki , Jonah Kudler-Flam , Shinsei Ryu