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Related papers: Bulk vs. Boundary Dynamics in Anti-de Sitter Space…

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We use the excited coherent states built over the initial non-de Sitter modes, to study the modification of spectra of primordial scalar fluctuation. Non-de Sitter modes are actually the asymptotic solution of the inflaton field…

General Relativity and Quantum Cosmology · Physics 2018-04-06 E. Yusofi , M. Mohsenzadeh , M. R. Tanhayi

AdS/CFT correspondence gives us a bulk-boundary dictionary between CFT operators and local fields in the bulk. Can a bulk-boundary dictionary exist for a non local bulk field? In this paper we consider a particular non local theory and show…

High Energy Physics - Theory · Physics 2018-12-12 Nirmalya Kajuri , Gaurav Narain

We consider free higher derivative theories of scalars and Dirac fermions in the presence of a boundary in general dimension. We establish a method for finding consistent conformal boundary conditions in these theories by removing certain…

High Energy Physics - Theory · Physics 2023-05-10 Adam Chalabi , Christopher P. Herzog , Krishnendu Ray , Brandon Robinson , Jacopo Sisti , Andreas Stergiou

We consider a general class of bulk-surface convective Cahn--Hilliard systems with dynamic boundary conditions. In contrast to classical Neumann boundary conditions, the dynamic boundary conditions of Cahn--Hilliard type allow for dynamic…

Analysis of PDEs · Mathematics 2024-07-23 Patrik Knopf , Jonas Stange

In contrast to eigenvalue-based approaches, we formulate the bulk-boundary correspondence for two-dimensional non-Hermitian quadratic lattice Hamiltonians in terms of Toeplitz operators and singular values, which correctly capture the…

Statistical Mechanics · Physics 2026-02-17 J. Sirker

General hypersurface layers are considered in order to describe brane-worlds and shell cosmologies. No restriction is placed on the causal character of the hypersurface which may thus have internal changes of signature. Strengthening the…

High Energy Physics - Theory · Physics 2008-11-26 Marc Mars , José M. M. Senovilla , Raül Vera

In this paper we study some thermal properties of quantum field theories in de Sitter space by means of holographic techniques. We focus on the static patch of de Sitter and assume that the quantum fields are in the standard Bunch-Davies…

High Energy Physics - Theory · Physics 2014-08-13 Willy Fischler , Phuc H. Nguyen , Juan F. Pedraza , Walter Tangarife

We extend the study of time-dependent backgrounds in the AdS/CFT correspondence by examining the relation between bulk and boundary for the smooth 'bubble of nothing' solution and for the locally AdS black hole which has the same asymptotic…

High Energy Physics - Theory · Physics 2008-11-26 Simon F. Ross , Georgina Titchener

Both the physics and applications of fermionic symmetry-protected topological phases rely heavily on a principle known as bulk-boundary correspondence, which predicts the emergence of protected boundary-localized energy excitations…

Statistical Mechanics · Physics 2023-04-10 Abhijeet Alase , Emilio Cobanera , Gerardo Ortiz , Lorenza Viola

The flat/CFT dictionary between the bulk gravitational theory and boundary conformal field theory is systematically developed in this paper. Asymptotically flat spacetime is built up by asymptotically AdS hyperboloid slices in terms of…

High Energy Physics - Theory · Physics 2024-04-02 Zezhuang Hao

Semi-infinite $d$-dimensional systems with an $m$-axial bulk Lifshitz point are considered whose ($d-1$)-dimensional surface hyper-plane is oriented perpendicular to one of the $m$ modulation axes. An $n$-component $\phi^4$ field theory…

Statistical Mechanics · Physics 2007-05-23 H. W. Diehl , M. A. Shpot , P. V. Prudnikov

We show that a particular set of global modes for the massive de Sitter scalar field (the de Sitter waves) allows to manage the group representations and the Fourier transform in the flat (Minkowskian) limit. This is in opposition to the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 T. Garidi , E. Huguet , J. Renaud

The interplay between bulk properties and boundary conditions in one-dimensional quantum systems, gives rise to many intriguing phenomena. These include the emergence of zero energy modes which are of significant interest to a variety of…

Strongly Correlated Electrons · Physics 2025-06-02 Parameshwar R. Pasnoori , Patrick Azaria , Colin Rylands , Natan Andrei

We solve a continuing controversy when dealing with density fluctuations in open Friedman-Robertson-Walker universes, on the physical relevance of a class of exponential modes. We show explicitly and rigorously that these modes enter the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Ugo Moschella , Richard Schaeffer

Two sets of modes of a massive free scalar field are quantized in a pair of Poincar\'e patches of Lorentzian anti-de Sitter (AdS) space, AdS$_{d+1}$ ($d \geq 2$). It is shown that in Poincar\'e coordinates $(r,t,\vec{x})$, the two…

High Energy Physics - Theory · Physics 2015-06-19 Ippei Fujisawa , Ryuichi Nakayama

We resolve the entropy problem in the AdS$_3$/CFT correspondence by introducing both the normalizable and non-normalizable bulk modes. On the boundary, the normalizable Liouville states gives us $c=1$ conformal field theory(CFT), whereas…

High Energy Physics - Theory · Physics 2007-05-23 Y. S. Myung

We show that the complex saddle points of the no-boundary wave function with a positive cosmological constant and a positive scalar potential have a representation in which the geometry consists of a regular Euclidean AdS domain wall that…

High Energy Physics - Theory · Physics 2015-06-03 Thomas Hertog , James Hartle

A proposal for the bulk space of the logarithmic W(2,3)-triplet model at central charge zero is made. The construction is based on the idea that one may reconstruct the bulk theory of a rational conformal field theory from its boundary…

High Energy Physics - Theory · Physics 2011-01-26 Matthias R. Gaberdiel , Ingo Runkel , Simon Wood

The analogue of the charge-conjugation modular invariant for rational logarithmic conformal field theories is constructed. This is done by reconstructing the bulk spectrum from a simple boundary condition (the analogue of the Cardy…

High Energy Physics - Theory · Physics 2008-05-01 Matthias R. Gaberdiel , Ingo Runkel

Boundary time crystals (BTCs) are prominent examples of continuous time crystals in collective spin systems governed by Lindbladian evolution. To date, their analysis has mostly relied on semiclassical and numerical approaches. Here, we…

Quantum Physics · Physics 2026-04-17 Dominik Nemeth , Ahsan Nazir , Robert-Jan Slager , Alessandro Principi