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We study a topological field theory in four dimensions on a manifold with boundary. A bulk-boundary interaction is introduced through a novel variational principle rather than explicitly. Through this scheme we find that the boundary values…

High Energy Physics - Theory · Physics 2010-01-06 Viqar Husain , Sebastian Jaimungal

With an aim towards understanding the time-dependence of entanglement entropy in generic quantum field theories, we propose a covariant generalization of the holographic entanglement entropy proposal of hep-th/0603001. Apart from providing…

High Energy Physics - Theory · Physics 2012-06-15 Veronika E. Hubeny , Mukund Rangamani , Tadashi Takayanagi

Euclidean field theories admit more general deformations than usually discussed in quantum field theories because of mixing between rotational symmetry and internal symmetry (a.k.a topological twist). Such deformations may be relevant, and…

High Energy Physics - Theory · Physics 2017-03-22 Yu Nakayama

We study holographic entropy inequalities and their structural properties by making use of a judicious grouping of terms into certain multipartite information quantities. This allows us to recast cumbersome entropic expressions into much…

High Energy Physics - Theory · Physics 2024-09-09 Sergio Hernández-Cuenca , Veronika E. Hubeny , Frederic Jia

We compute holographic entanglement entropy in two strongly coupled nonlocal field theories: the dipole and the noncommutative deformations of SYM theory. We find that entanglement entropy in the dipole theory follows a volume law for…

High Energy Physics - Theory · Physics 2014-04-15 Joanna L. Karczmarek , Charles Rabideau

Tensor networks provide a natural framework for exploring holographic duality because they obey entanglement area laws. They have been used to construct explicit toy models realizing many interesting structural features of the AdS/CFT…

High Energy Physics - Theory · Physics 2016-11-07 Patrick Hayden , Sepehr Nezami , Xiao-Liang Qi , Nathaniel Thomas , Michael Walter , Zhao Yang

The entanglement entropy in theories with a Fermi surface is known to produce a logarithmic violation of the usual area law behavior. We explore the possibility of producing this logarithmic violation holographically by analyzing the IR…

High Energy Physics - Theory · Physics 2015-06-03 Edgar Shaghoulian

We establish a characterization of multi-qubit entanglement constraints in terms of non-negative power of entanglement measures based on unified-$(q,s)$ entropy. Using the Hamming weight of the binary vector related with the distribution of…

Quantum Physics · Physics 2018-08-21 Jeong San Kim

Using the AdS/CFT correspondence, we examine entanglement entropy for a boundary theory deformed by a relevant operator and establish two results. The first is that if there is a contribution which is logarithmic in the UV cut-off, then the…

High Energy Physics - Theory · Physics 2012-11-07 Ling-Yan Hung , Robert C. Myers , Michael Smolkin

Colloidal particles that are confined to an interface such as the air-water interface are an example of a two-dimensional fluid. Such dispersions have been observed to spontaneously form cluster and stripe morphologies in certain systems…

Soft Condensed Matter · Physics 2008-09-17 A. J. Archer

We introduce a novel geometric approach to characterize entanglement relations in large quantum systems. Our approach is inspired by Schumacher's singlet state triangle inequality, which used an entropic-based distance to capture the…

Quantum Physics · Physics 2021-10-01 Shahabeddin M. Aslmarand , Warner A. Miller , Doyeol , Ahn , Paul M. Alsing

We derive the property of strong superadditivity of mutual information arising from the Markov property of the vacuum state in a conformal field theory and strong subadditivity of entanglement entropy. We show this inequality encodes…

High Energy Physics - Theory · Physics 2021-09-29 Horacio Casini , Eduardo Testé , Gonzalo Torroba

We present a new criterion, based on commutator methods, for the strong mixing property of unitary representations of topological groups equipped with a proper length function. Our result generalises and unifies recent results on the strong…

Dynamical Systems · Mathematics 2015-10-02 Serge Richard , Rafael Tiedra de Aldecoa

We generalize bit threads to hyperthreads in the context of holographic spacetimes. We define a "$k$-thread" to be a hyperthread which connects $k$ different boundary regions and posit that it may be considered as a unit of $k$-party…

High Energy Physics - Theory · Physics 2021-10-04 Jonathan Harper

We propose a holographic correspondence of the flat spacetime based on the behavior of the entanglement entropy and the correlation functions. The holographic dual theory turns out to be highly non-local. We argue that after most part of…

High Energy Physics - Theory · Physics 2011-04-20 Wei Li , Tadashi Takayanagi

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…

High Energy Physics - Theory · Physics 2020-04-15 Shinji Hirano

Entanglement entropy in a field theory, with a holographic dual, may be viewed as a quantity which encodes the diffeomorphism invariant bulk gravity dynamics. This, in particular, indicates that the bulk Einstein equations would imply some…

High Energy Physics - Theory · Physics 2014-10-31 Jyotirmoy Bhattacharya , Tadashi Takayanagi

In this paper, we systematically study the measures of multi-partite entanglement with the aim of constructing those measures that can be computed in probe approximation in the holographic dual. We classify and count general measures as…

High Energy Physics - Theory · Physics 2024-02-15 Abhijit Gadde , Vineeth Krishna , Trakshu Sharma

Entanglement entropies are notoriously difficult to compute. Large-N strongly-coupled holographic CFTs are an important exception, where the AdS/CFT dictionary gives the entanglement entropy of a CFT region in terms of the area of an…

High Energy Physics - Theory · Physics 2017-05-30 Sebastian Fischetti , Toby Wiseman

Holographic duality describes gravitational theories in terms of quantum many-body systems. In holography, quantum information theory provides a crucial tool that directly connects microscopic structures of these systems to the geometries…

High Energy Physics - Theory · Physics 2025-06-24 Tadashi Takayanagi