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We show the geometric consequences that the holographic principle has on the spacetime. Namely, we prove that complete spacelike hypersurfaces in a spacetime that satisfies the holographic principle are non-parabolic. This has important…

Mathematical Physics · Physics 2021-07-30 José A. S. Pelegrín

We find a correspondence between semiclassical gauge theories quantized on the light-front and a dual gravity model in anti-de Sitter (AdS) space, thus providing an initial approximation to QCD in its strongly coupled regime. This…

High Energy Physics - Phenomenology · Physics 2011-03-10 Guy F. de Teramond , Stanley J. Brodsky

We consider asymptotically future de Sitter spacetimes endowed with an eternal observatory. In the conventional descriptions, the conformal metric at the future boundary I^+ is deformed by the flux of gravitational radiation. We however…

High Energy Physics - Theory · Physics 2015-05-28 Dionysios Anninos , Gim Seng Ng , Andrew Strominger

We identify conditions for the entanglement entropy as a function of spatial region to be compatible with causality in an arbitrary relativistic quantum field theory. We then prove that the covariant holographic entanglement entropy…

High Energy Physics - Theory · Physics 2015-06-22 Matthew Headrick , Veronika E. Hubeny , Albion Lawrence , Mukund Rangamani

Causality constraints are known to bind sound absorption to a limit that can only be achieved by optimizing the system bandwidth for a specific material thickness. This limit is defined on the assumption of a one-port system, generally…

We review recent work on holographic aspects of electric-magnetic dualities in theories that involve conformally coupled scalars and abelian gauge fields in asymptotically AdS4 spaces. Such models are relevant for the holographic…

High Energy Physics - Theory · Physics 2008-11-26 Sebastian de Haro , Anastasios C. Petkou

According to the holographic principle, the description of a volume of space can be thought of as encoded on its boundary. Holographic principle establishes equivalence, or duality, between theoretical description of volume physics, which…

Optics · Physics 2015-06-18 Igor I. Smolyaninov

If a state is passive for uniformly accelerated observers in n-dimensional anti-de Sitter space-time (i.e. cannot be used by them to operate a perpetuum mobile), they will (a) register a universal value of the Unruh temperature, (b)…

Mathematical Physics · Physics 2009-11-10 Detlev Buchholz , Stephen J. Summers

We study the holographic complexity in de Sitter spacetime, especially how the hyperfast growth of holographic complexity in de Sitter spacetime is affected under a small and early perturbation. The perturbed geometry is de Sitter spacetime…

High Energy Physics - Theory · Physics 2023-08-21 Takanori Anegawa , Norihiro Iizuka

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 review aspects of certain time-dependent deformations of $AdS/CFT$ containing cosmological singularities and their gauge theory duals. Towards understanding these solutions better, we explore similar singular deformations of de Sitter…

High Energy Physics - Theory · Physics 2012-04-17 K. Narayan

Anomalous chiral conductivities in theories with global anomalies are independent of whether they are computed in a weakly coupled quantum (or thermal) field theory, hydrodynamics, or at infinite coupling from holography. While the presence…

High Energy Physics - Theory · Physics 2016-10-18 Sašo Grozdanov , Napat Poovuttikul

The dS/dS correspondence provides a holographic description of quantum gravity in d dimensional de Sitter space near the horizon of a causal region in a well defined approximation scheme; it is equivalent to the low energy limit of…

High Energy Physics - Theory · Physics 2009-11-11 Mohsen Alishahiha , Andreas Karch , Eva Silverstein

As was recently pointed out by Cadoni, a certain class of two-dimensional gravitational theories will exhibit (black hole) thermodynamic behavior that is reminiscent of a free field theory. In the current letter, a direct correspondence is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. J. M. Medved

Holography has taught us that spacetime is emergent and its properties depend on the entanglement structure of the dual theory. In this paper, we describe how changes in the entanglement due to a local projective measurement (LPM) on a…

High Energy Physics - Theory · Physics 2023-01-18 Stefano Antonini , Gregory Bentsen , ChunJun Cao , Jonathan Harper , Shao-Kai Jian , Brian Swingle

We prove a positive volume theorem for asymptotically AdS spacetimes: the maximal volume slice has nonnegative vacuum-subtracted volume, and the vacuum-subtracted volume vanishes if and only if the spacetime is identically pure AdS. Under…

High Energy Physics - Theory · Physics 2022-01-13 Netta Engelhardt , Åsmund Folkestad

I review recent work on the holographic relation between higher-spin theories in Anti-de Sitter spaces and conformal field theories. I present the main results of studies concerning the higher-spin holographic dual of the three-dimensional…

High Energy Physics - Theory · Physics 2007-05-23 A. C. Petkou

We argue that the flat spacetime with inexact quantum mechanics in it is dual to the de Sitter spacetime with exact quantum mechanics in it, and the positive cosmological constant of this de Sitter spacetime is in the second order of the…

Quantum Physics · Physics 2023-02-01 Eiji Konishi

In recent years, there has been considerable interest in theories formulated in anti-de Sitter (AdS) spacetime. However, AdS spacetime fails to be globally hyperbolic, so a classical field satisfying a hyperbolic wave equation on AdS…

High Energy Physics - Theory · Physics 2009-11-10 Akihiro Ishibashi , Robert M. Wald

The notion of a causal boundary for a spacetime has been a controversial topic during the last three decades. Moreover, recently the role of the boundary in the AdS/CFT correspondence for plane waves, have stimulated its redefinition with…

Differential Geometry · Mathematics 2009-11-23 Miguel Sánchez