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Two-dimensional conformal field theories with a large central charge and a small number of low-dimension operators are studied using the conformal block expansion. A universal formula is derived for the Renyi entropies of N disjoint…

High Energy Physics - Theory · Physics 2013-03-29 Thomas Hartman

A recent proposal by Ryu and Takayanagi for a holographic interpretation of entanglement entropy in conformal field theories dual to supergravity on anti-de Sitter (adS) is generalized to include entanglement entropy of black holes living…

High Energy Physics - Theory · Physics 2009-11-11 Sergey N. Solodukhin

We construct solutions in the form of $AdS_2\times\Sigma$, where $\Sigma$ denotes a spindle geometry, within a particular 4d $\mathcal{N}=2$ gauged supergravity with vector multiplets and a charged hypermultiplet stemming from a consistent…

High Energy Physics - Theory · Physics 2024-08-08 Kiril Hristov , Minwoo Suh

We numerically determine subleading scaling terms in the ground-state entanglement entropy of several two-dimensional (2D) gapless systems, including a Heisenberg model with N\'eel order, a free Dirac fermion in the {\pi}-flux phase, and…

Strongly Correlated Electrons · Physics 2012-04-25 Hyejin Ju , Ann B. Kallin , Paul Fendley , Matthew B. Hastings , Roger G. Melko

We study quantum corrections to holographic entanglement entropy in AdS$_3$/CFT$_2$; these are given by the bulk entanglement entropy across the Ryu-Takayanagi surface for all fields in the effective gravitational theory. We consider bulk…

High Energy Physics - Theory · Physics 2020-05-13 Alexandre Belin , Nabil Iqbal , Jorrit Kruthoff

In this paper, we demonstrate the emergence of nonlinear gravitational equations directly from the physics of a broad class of conformal field theories. We consider CFT excited states defined by adding sources for scalar primary or stress…

High Energy Physics - Theory · Physics 2017-09-13 Thomas Faulkner , Felix M. Haehl , Eliot Hijano , Onkar Parrikar , Charles Rabideau , Mark Van Raamsdonk

We consider Einstein gravity coupled to an n-form field strength in D dimensions. Such a theory cannot be supersymmetrized in general, we nevertheless propose a pseudo-Killing spinor equation and show that the AdS X Sphere vacua have the…

High Energy Physics - Theory · Physics 2011-07-05 H. Lu , Zhao-Long Wang

For spacetimes that are not asymptotic to anti-de Sitter Space (non AAdS), we adapt the Lewkowycz-Maldacena procedure to find the holographic entanglement entropy. The key observation, which to our knowledge is not very well appreciated, is…

High Energy Physics - Theory · Physics 2016-07-08 Wei Song , Qiang Wen , Jianfei Xu

We present a detailed discussion of entanglement entropy in (1+1)-dimensional Warped Conformal Field Theories (WCFTs). We implement the Rindler method to evaluate entanglement and Renyi entropies for a single interval and along the way we…

High Energy Physics - Theory · Physics 2017-01-19 Alejandra Castro , Diego M. Hofman , Nabil Iqbal

Understanding the dependence of entanglement entropy on the renormalized mass in quantum field theories can provide insight into phenomena such as quantum phase transitions, since the mass varies in a singular way near the transition. Here…

High Energy Physics - Theory · Physics 2012-12-11 Mark P. Hertzberg

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 calculate the entanglement entropy for a sphere and a massless scalar field in any dimensions. The reduced density matrix is expressed in terms of the infinitesimal generator of conformal transformations keeping the sphere fixed. The…

High Energy Physics - Theory · Physics 2014-11-21 H. Casini , M. Huerta

We revisit a model for gapped fractonic order in (2+1) dimensions (a symmetric-traceless tensor gauge theory with conservation of dipole and trace-quadrupole moments described in \cite{Prem:2017kxc}) and compute its ground-state…

Strongly Correlated Electrons · Physics 2021-09-03 Jackson R. Fliss

We study 2D Maxwell-dilaton gravity on AdS(2). We distinguish two distinctive cases depending on whether the AdS(2) solution can be lifted to an AdS(3) geometry. In both cases, in order to get a consistent boundary condition we need to work…

High Energy Physics - Theory · Physics 2009-12-04 Mohsen Alishahiha , Farhad Ardalan

We analyse the entanglement entropy properties of a two-dimensional p-wave superconductor with Rashba spin-orbit coupling, which displays a rich phase-space that supports non-trivial topological phases, as the chemical potential and the…

Superconductivity · Physics 2015-03-18 T. P. Oliveira , P. Ribeiro , P. D. Sacramento

Holographic entanglement entropy provides a direct connection between classical geometry and quantum entanglement; however the usual prescription does not apply to theories of higher spin gravity, where standard notions of geometry are no…

High Energy Physics - Theory · Physics 2016-03-08 Martin Ammon , Alejandra Castro , Nabil Iqbal

We construct spectra of supersymmetric higher spin theories in D=4, 5 and 7 from twistors describing massless (super-)particles on AdS spaces. A massless twistor transform is derived in a geometric way from classical kinematics. Relaxing…

High Energy Physics - Theory · Physics 2009-11-10 Martin Cederwall

We compute the entropy of entanglement in the ground states of a general class of quantum spin-chain Hamiltonians - those that are related to quadratic forms of Fermi operators - between the first N spins and the rest of the system in the…

Quantum Physics · Physics 2009-11-10 J. P. Keating , F. Mezzadri

We study the entanglement entropy of gapped phases of matter in three spatial dimensions. We focus in particular on size-independent contributions to the entropy across entanglement surfaces of arbitrary topologies. We show that for low…

Strongly Correlated Electrons · Physics 2018-05-11 Yunqin Zheng , Huan He , Barry Bradlyn , Jennifer Cano , Titus Neupert , B. Andrei Bernevig

We consider linear superpositions of single particle excitations in a scalar field theory on $AdS_3$ and evaluate their contribution to the bulk entanglement entropy across the Ryu-Takayanagi surface. We compare the entanglement entropy of…

High Energy Physics - Theory · Physics 2024-05-03 Barsha G. Chowdhury , Justin R. David , Semanti Dutta , Jyotirmoy Mukherjee