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Even for holographic theories that obey boundary causality, the full bulk Lorentzian path integral includes metrics that violate this condition. This leads to the following puzzle: The commutator of two field theory operators at…

High Energy Physics - Theory · Physics 2021-10-15 Sergio Hernández-Cuenca , Gary T. Horowitz , Gabriel Treviño , Diandian Wang

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

We consider CFT states defined by adding nonlocal multi-trace sources to the Euclidean path integral defining the vacuum state. For holographic theories, we argue that these states correspond to states in the gravitational theory with a…

High Energy Physics - Theory · Physics 2019-06-07 Felix M. Haehl , Eric Mintun , Jason Pollack , Antony J. Speranza , Mark Van Raamsdonk

We argue that given holographic CFT$_1$ in some state with a dual spacetime geometry M, and given some other holographic CFT$_2$, we can find states of CFT$_2$ whose dual geometries closely approximate arbitrarily large causal patches of M,…

High Energy Physics - Theory · Physics 2020-12-30 Petar Simidzija , Mark Van Raamsdonk

In holographic duality, a higher dimensional quantum gravity system emerges from a lower dimensional conformal field theory (CFT) with a large number of degrees of freedom. We propose a formulation of duality for a general causally complete…

High Energy Physics - Theory · Physics 2024-11-15 Samuel Leutheusser , Hong Liu

In this paper we investigate the relation between the bulk and boundary in AdS/CFT. We first discuss the relation between the Poincare and the global vacua, and then study various probes of the bulk from the boundary theory point of view.…

High Energy Physics - Theory · Physics 2009-10-31 Ulf H. Danielsson , Esko Keski-Vakkuri , Martin Kruczenski

The Ryu-Takayanagi conjecture provides a holographic description for the entanglement entropy for the strongly coupled holographic CFTs in the semi-classical limit. It proposes that the entanglement entropy is given by the area of the…

High Energy Physics - Theory · Physics 2022-07-19 Jun Tsujimura

The stress tensor is a basic local operator in any field theory; in the context of AdS/CFT, it is the operator which is dual to the bulk geometry itself. Here we exploit this feature by using the bulk geometry to place constraints on the…

High Energy Physics - Theory · Physics 2016-12-14 Sebastian Fischetti , Andrew Hickling , Toby Wiseman

We discuss a holographic description of vacuum bubbles, with possible implications for a consistent description of the multiverse. In particular, we elaborate on the recent observation by Maldacena, that the interior of AdS bubbles can be…

High Energy Physics - Theory · Physics 2015-05-20 Jaume Garriga

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

One may ask whether the CFT restricted to a subset b of the AdS boundary has a well-defined dual restricted to a subset H(b) of the bulk geometry. The Poincare patch is an example, but more general choices of b can be considered. We propose…

High Energy Physics - Theory · Physics 2015-03-20 Raphael Bousso , Stefan Leichenauer , Vladimir Rosenhaus

We propose a measure of holographic information based on a causal wedge construction. The motivation behind this comes from an attempt to understand how boundary field theories can holographically reconstruct spacetime. We argue that given…

High Energy Physics - Theory · Physics 2015-06-04 Veronika E. Hubeny , Mukund Rangamani

As a quantum theory of gravity, Matrix theory should provide a realization of the holographic principle, in the sense that a holographic theory should contain one binary degree of freedom per Planck area. We present evidence that…

High Energy Physics - Theory · Physics 2008-11-26 Raphael Bousso , Aleksey L. Mints

We analyse a simple example of a holographically dual pair in which we topologically twist both theories. The holography is based on the two-dimensional N=2 supersymmetric Liouville conformal field theory that defines a unitary bulk quantum…

High Energy Physics - Theory · Physics 2020-04-22 Songyuan Li , Jan Troost

Subregion duality in AdS/CFT implies certain constraints on the geometry: entanglement wedges must contain causal wedges, and nested boundary regions must have nested entanglement wedges. We elucidate the logical connections between these…

High Energy Physics - Theory · Physics 2016-11-18 Chris Akers , Jason Koeller , Stefan Leichenauer , Adam Levine

We consider the scattering problem governed by the Helmholtz equation with inhomogeneity in both `conductivity' in the divergence form and `potential' in the lower order term. The support of the inhomogeneity is assumed to contain a convex…

Analysis of PDEs · Mathematics 2020-09-14 Fioralba Cakoni , Jingni Xiao

We consider a Hayden \& Preskill like setup for both maximally chaotic and sub-maximally chaotic quantum field theories. We act on the vacuum with an operator in a Rindler like wedge $R$ and transfer a small subregion $I$ of $R$ to the…

High Energy Physics - Theory · Physics 2022-09-07 Venkatesa Chandrasekaran , Thomas Faulkner , Adam Levine

An important window to quantum gravity phenomena in low energy noncommutative (NC) quantum field theories (QFTs) gets represented by a specific form of UV/IR mixing. Yet another important window to quantum gravity, a holography, manifests…

High Energy Physics - Phenomenology · Physics 2011-01-28 Raul Horvat , Josip Trampetic

We study the conjectured holographic duality between entanglement of purification and the entanglement wedge cross-section. We generalize both quantities and prove several information theoretic inequalities involving them. These include…

High Energy Physics - Theory · Physics 2018-04-04 Ning Bao , Illan F. Halpern

We develop the representation of interacting bulk gauge fields and charged scalar matter in AdS in terms of non-local observables in the dual CFT. We work in holographic gauge in the bulk, A_z = 0. The correct statement of micro-causality…

High Energy Physics - Theory · Physics 2013-04-17 Daniel Kabat , Gilad Lifschytz
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