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Related papers: Higher Spin Entanglement Entropy

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We consider conformal field theories in 1+1 dimensions with W-algebra symmetries, deformed by a chemical potential \mu for the spin-three current. We show that the order \mu^2 correction to the Re'nyi and entanglement entropies of a single…

High Energy Physics - Theory · Physics 2014-08-13 Shouvik Datta , Justin R. David , Michael Ferlaino , S. Prem Kumar

In this paper, we study the entanglement entropy of a single interval on a cylinder in two-dimensional $T\overline{T}$-deformed conformal field theory. For such case, the (R\'enyi) entanglement entropy takes a universal form in a CFT. We…

High Energy Physics - Theory · Physics 2018-11-07 Bin Chen , Lin Chen , Peng-xiang Hao

Two-dimensional conformal field theories with extended $\cal{W}$-symmetry algebras have dual descriptions in terms of weakly coupled higher spin gravity in AdS$_3\,$ at large central charge. Observables that can be computed and compared in…

High Energy Physics - Theory · Physics 2018-10-09 Jan de Boer , Alejandra Castro , Eliot Hijano , Juan I. Jottar , Per Kraus

In this paper we investigate the holographic R\'enyi entropy of two disjoint intervals on complex plane with small cross ratio $x$ for conformal field theory with $W$ symmetry in the ground state, which could be dual to a higher spin…

High Energy Physics - Theory · Physics 2014-05-20 Bin Chen , Jiang Long , Jia-ju Zhang

We consider free fermion and free boson CFTs in two dimensions, deformed by a chemical potential $\mu$ for the spin-three current. For the CFT on the infinite spatial line, we calculate the finite temperature entanglement entropy of a…

High Energy Physics - Theory · Physics 2015-06-18 Shouvik Datta , Justin R. David , Michael Ferlaino , S. Prem Kumar

We study the free fermion theory in 1+1 dimensions deformed by chemical potentials for holomorphic, conserved currents at finite temperature and on a spatial circle. For a spin-three chemical potential \mu, the deformation is related at…

High Energy Physics - Theory · Physics 2015-04-13 Shouvik Datta , Justin R. David , S. Prem Kumar

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

We consider single interval R\'enyi and entanglement entropies for a two dimensional conformal field theory on a circle at nonzero temperature. Assuming that the finite size of the system introduces a unique ground state with a nonzero mass…

High Energy Physics - Theory · Physics 2014-05-07 John Cardy , Christopher P. Herzog

We develop tools for the efficient evaluation of Wilson lines in 3D higher spin gravity, and use these to compute entanglement entropy in the hs$[\lambda]$ Vasiliev theory that governs the bulk side of the duality proposal of Gaberdiel and…

High Energy Physics - Theory · Physics 2016-03-23 Ashwin Hegde , Per Kraus , Eric Perlmutter

We compute the von Neumann and generalized R\'{e}nyi entanglement entropies in the ground-state of the spin-1/2 antiferromagnetic Heisenberg model on the square lattice using the modified spin-wave theory for finite lattices. The addition…

Strongly Correlated Electrons · Physics 2011-07-06 H. Francis Song , Nicolas Laflorencie , Stephan Rachel , Karyn Le Hur

It is generally believed that the semiclassical AdS$_3$ higher spin gravity could be described by a two dimensional conformal field theory with ${\cal{W}}$-algebra symmetry in the large central charge limit. In this paper, we study the…

High Energy Physics - Theory · Physics 2016-08-03 Bin Chen , Jie-qiang Wu

There are two proposals that compute holographic entanglement entropy in AdS$_3$ higher spin theories based on $SL(N,\mathbb{R})$ Chern-Simons theory. We show explicitly that these two proposals are equivalent. We also designed two methods…

High Energy Physics - Theory · Physics 2016-03-10 Alejandra Castro , Eva Llabrés

We study the entanglement entropy (EE) and the R\'{e}nyi entropy (RE) of multiple intervals in two-dimensional $T\overline{T}$-deformed conformal field theory (CFT) at finite temperature by field theoretic and holographic methods. First, by…

High Energy Physics - Theory · Physics 2020-02-03 Hyun-Sik Jeong , Keun-Young Kim , Mitsuhiro Nishida

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

In this paper, we study the holographic R\'enyi entropy of a large interval on a circle at high temperature for the two-dimensional conformal field theory (CFT) dual to pure AdS$_3$ gravity. In the field theory, the R\'enyi entropy is…

High Energy Physics - Theory · Physics 2015-11-11 Bin Chen , Jie-qiang Wu

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

An entanglement Renyi entropy for a spatial partition of a system is studied in conformal theories which admit a dual description in terms of an anti-de Sitter gravity. The divergent part of the Renyi entropy is computed in 4D conformal N=4…

High Energy Physics - Theory · Physics 2015-06-03 Dmitri V. Fursaev

We consider entanglement entropy of a cap-like region for a conformal field theory living on a sphere times a circle in d space-time dimensions. Assuming that the finite size of the system introduces a unique ground state with a nonzero…

High Energy Physics - Theory · Physics 2015-06-22 Christopher P. Herzog

We reconsider the one-loop correction to the holographic entanglement entropy in $AdS_{3}/CFT_{2}$ by analysing the contributions due to a bulk higher spin $s$ current or a scalar field with scaling dimension $\Delta$. We consider the…

High Energy Physics - Theory · Physics 2015-06-18 Matteo Beccaria , Guido Macorini

We describe a method to estimate R\'enyi entanglement entropy of a spin system, which is based on the replica trick and generative neural networks with explicit probability estimation. It can be extended to any spin system or lattice field…

Statistical Mechanics · Physics 2025-06-05 Piotr Białas , Piotr Korcyl , Tomasz Stebel , Dawid Zapolski
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