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The holographic entropy cone characterizes the relations between entanglement entropies for a spatial partitioning of the boundary spacetime of a holographic CFT in any state describing a classical bulk geometry. We argue that the…

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

The covariant holographic entropy conjecture of AdS/CFT relates the entropy of a boundary region R to the area of an extremal surface in the bulk spacetime. This extremal surface can be obtained by a maximin construction, allowing many new…

High Energy Physics - Theory · Physics 2016-12-07 Aron C. Wall

We propose that holographic entanglement entropy can be calculated at arbitrary orders in the bulk Planck constant using the concept of a "quantum extremal surface": a surface which extremizes the generalized entropy, i.e. the sum of area…

High Energy Physics - Theory · Physics 2015-10-27 Netta Engelhardt , Aron C. Wall

The past decade has seen a tremendous effort toward unraveling the relationship between entanglement and emergent spacetime. These investigations have revealed that entanglement between holographic degrees of freedom is crucial for the…

High Energy Physics - Theory · Physics 2018-05-23 Yasunori Nomura , Pratik Rath , Nico Salzetta

We explore constraints that arise from associating an entanglement wedge (EW) to subregions of a cutoff boundary at a finite distance in AdS/CFT, using a subcritical end-of-the-world (ETW) brane acting as a cutoff. In particular, we…

High Energy Physics - Theory · Physics 2025-07-14 Krishan Saraswat

We apply the quantum renormalization group to construct a holographic dual for the U(N) vector model for complex bosons defined on a lattice. The bulk geometry becomes dynamical as the hopping amplitudes which determine connectivity of…

High Energy Physics - Theory · Physics 2015-08-31 Peter Lunts , Subhro Bhattacharjee , Jonah Miller , Erik Schnetter , Yong Baek Kim , Sung-Sik Lee

Random tensor networks provide useful models that incorporate various important features of holographic duality. A tensor network is usually defined for a fixed graph geometry specified by the connection of tensors. In this paper, we…

High Energy Physics - Theory · Physics 2017-09-13 Xiao-Liang Qi , Zhao Yang , Yi-Zhuang You

We investigate a new approach to holography in asymptotically AdS spacetimes, in which time rather than space is the emergent dimension. By making a sufficiently large T^2-deformation of a Euclidean CFT, we define a holographic theory that…

High Energy Physics - Theory · Physics 2023-03-22 Goncalo Araujo-Regado , Rifath Khan , Aron C. Wall

I propose a general, covariant way of defining when one region is "deeper in the bulk" than another. This definition is formulated outside of an event horizon (or in the absence thereof) in generic geometries; it may be applied to both…

High Energy Physics - Theory · Physics 2017-03-15 Netta Engelhardt

Tensor networks are useful toy models for understanding the structure of entanglement in holographic states and reconstruction of bulk operators within the entanglement wedge. They are, however, constrained to only prepare so-called…

High Energy Physics - Theory · Physics 2023-09-13 Xi Dong , Sean McBride , Wayne W. Weng

We revisit the recent reformulation of the holographic prescription to compute entanglement entropy in terms of a convex optimization problem, introduced by Freedman and Headrick. According to it, the holographic entanglement entropy…

High Energy Physics - Theory · Physics 2019-05-16 Cesar A. Agón , Jan de Boer , Juan F. Pedraza

We propose a new holographic dual of conformal field theory defined on a manifold with boundaries, i.e. BCFT. Our proposal can apply to general boundaries and agrees with arXiv:1105.5165 for the special case of a disk and half plane. Using…

High Energy Physics - Theory · Physics 2017-08-16 Rong-Xin Miao , Chong-Sun Chu , Wu-Zhong Guo

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 AdS/CFT correspondence relates quantum entanglement between boundary Conformal Field Theories and geometric connections in the dual asymptotically Anti-de Sitter space-time. We consider entangled states in the n-fold tensor product of a…

High Energy Physics - Theory · Physics 2016-04-05 Vijay Balasubramanian , Patrick Hayden , Alexander Maloney , Donald Marolf , Simon F. Ross

In the holographic correspondence of quantum gravity, a global onsite symmetry at the boundary generally translates to a local gauge symmetry in the bulk. We describe one way how the global boundary onsite symmetries can be gauged within…

Strongly Correlated Electrons · Physics 2018-01-31 Sukhwinder Singh , Nathan A. McMahon , Gavin K. Brennen

We begin an investigation of a new holographic covariant entropy bound (HCEB) in gravity. This bound arises from Cauchy slice holography, a recently proposed duality between the bulk gravity theory and a `boundary' theory that lives on…

High Energy Physics - Theory · Physics 2024-07-25 Ronak M Soni , Aron C. Wall

The connected wedge theorem states that in order to have a scattering process in the bulk, it is necessary to have $O(1/G_N)$ mutual information between certain "decision" regions in the boundary theory. While this large mutual information…

High Energy Physics - Theory · Physics 2026-01-15 Jacqueline Caminiti , Caroline Lima , Robert C. Myers

We apply the framework of Cauchy Slice Holography to the quantization of gravity on closed slices with $\Lambda>0$ (with a focus on $2+1$ dimensions for concreteness). We obtain solutions to the Wheeler-DeWitt equation in a basis of…

High Energy Physics - Theory · Physics 2023-04-14 Goncalo Araujo-Regado

Motivated by the Bekenstein Hawking formula and the area law behaviour of entanglement entropy, we propose that in any UV finite theory of quantum gravity with a smooth spacetime, the total entropy for a pure state in a co-dimension one…

High Energy Physics - Theory · Physics 2023-08-29 Sumit R. Das , Anurag Kaushal , Gautam Mandal , Sandip P. Trivedi

We propose a covariant holographic conjecture for the entanglement negativity of mixed states in bipartite systems described by $d$-dimensional conformal field theories dual to bulk non static $AdS_{d+1}$ configurations. Application of our…

High Energy Physics - Theory · Physics 2022-08-31 Pankaj Chaturvedi , Vinay Malvimat , Gautam Sengupta