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Boundary charges in gauge theories (like the ADM mass in general relativity) can be understood as integrals of linear conserved n-2 forms of the free theory obtained by linearization around the background. These forms are associated…

High Energy Physics - Theory · Physics 2009-11-10 Glenn Barnich

Standard statistical mechanical or condensed matter arguments tell us that bulk properties of a physical system do not depend too much on boundary conditions. Random tilings of large regions provide counterexamples to such intuition, as…

Statistical Mechanics · Physics 2021-03-17 Jean-Marie Stéphan

Recently, Almheiri, Dong, and Harlow have argued that the localization of bulk information in a boundary dual should be understood in terms of quantum error correction. We show that this structure appears naturally when the gauge invariance…

High Energy Physics - Theory · Physics 2015-10-14 Eric Mintun , Joseph Polchinski , Vladimir Rosenhaus

We describe a new class of boundary conditions for AdS_{d+1} under which the boundary metric becomes a dynamical field. The key technical point is to show that contributions from boundary counter-terms in the bulk gravitational action…

High Energy Physics - Theory · Physics 2008-11-26 Geoffrey Compère , Don Marolf

Because the gravitational Hamiltonian is a pure boundary term on-shell, asymptotic gravitational fields store information in a manner not possible in local field theories. This fact has consequences for both perturbative and…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Donald Marolf

We study conformally invariant boundary conditions that break part of the bulk symmetries. A general theory is developped for those boundary conditions for which the preserved subalgebra is the fixed algebra under an abelian orbifold group.…

High Energy Physics - Theory · Physics 2009-10-31 J. Fuchs , C. Schweigert

Using the Noether Charge formulation, we study a perturbation of the conserved gravitating system. By requiring the boundary term in the variation of the Hamiltonian to depend only on the symplectic structure, we propose a general…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Roh S. Tung

We use the framework of generalized entanglement wedges to revisit the connected wedge theorem (CWT). This construction identifies an entanglement wedge associated for any bulk region and allows us to rephrase the CWT in terms of the…

High Energy Physics - Theory · Physics 2026-04-27 Athira Arayath , Sabrina Pasterski

The field-theoretical approach is reviewed. Perturbations in general relativity as well as in an arbitrary $D$-dimensional metric theory are studied on a background, which is a solution (arbitrary) of the theory. Lagrangian for…

General Relativity and Quantum Cosmology · Physics 2008-10-16 A. N. Petrov

The dynamics of quantum field theories on bounded domains requires the introduction of boundary conditions on the quantum fields. We address the problem from a very general perspective by using charge conservation as a fundamental principle…

High Energy Physics - Theory · Physics 2015-01-16 M. Asorey , D. Garcia-Alvarez , J. M. Munoz-Castaneda

We consider the problem of defining spacelike-supported boundary-to-bulk propagators in AdS$_{d+1}$ down to the unitary bound $\Delta=(d-2)/2$. That is to say, we construct the `smearing functions' $K$ of HKLL but with different boundary…

High Energy Physics - Theory · Physics 2019-12-13 Nicolás Del Grosso , Alan Garbarz , Gabriel Palau , Guillem Pérez-Nadal

We show that known entropy bounds constrain the information carried off by radiation to null infinity. We consider distant, planar null hypersurfaces in asymptotically flat spacetime. Their focussing and area loss can be computed…

High Energy Physics - Theory · Physics 2016-09-14 Raphael Bousso

Motivated by the power of subregion/subregion duality for constraining the bulk geometry in gauge/gravity duality, we pursue a comprehensive and systematic approach to the behavior of extremal surfaces under perturbations. Specifically, we…

High Energy Physics - Theory · Physics 2020-01-08 Netta Engelhardt , Sebastian Fischetti

This paper illustrates the richness of the concept of regular sets of time bounds and demonstrates its application to problems of computational complexity. There is a universe of bounds whose regular subsets allow to represent several time…

Computational Complexity · Computer Science 2013-09-24 Armin Hemmerling

A mechanism for localization of quantum fields on a $s$-brane, representing the boundary of a s+2 dimensional bulk space, is investigated. Minkowski and AdS bulk spaces are analyzed. Besides the background geometry, the relevant parameters…

High Energy Physics - Theory · Physics 2015-06-25 Mihail Mintchev , Luigi Pilo

Carrollian amplitudes are flat space amplitudes written in position space at null infinity which can be re-interpreted as correlators in a putative dual Carrollian CFT. We argue that these amplitudes are the natural objects obtained in the…

High Energy Physics - Theory · Physics 2024-06-28 Luis F. Alday , Maria Nocchi , Romain Ruzziconi , Akshay Yelleshpur Srikant

The bulk reconstructions in AdS/CFT and its cousins are essential to understand the holographic nature of quantum gravity. In this work, we try to study the bulk reconstruction in the AdS$_3$/WCFT$_2$ correspondence. After deriving the…

High Energy Physics - Theory · Physics 2019-10-30 Yu-han Lin , Bin Chen

The Hamiltonian of classical anti-de Sitter gravity is a pure boundary term on-shell. If this remains true in non-perturbative quantum gravity then i) boundary observables will evolve unitarily in time and ii) the algebra of boundary…

General Relativity and Quantum Cosmology · Physics 2009-02-18 Donald Marolf

We study higher dimensional models with symmetric correlated hoppings, which generalize a one-dimensional model introduced in the context of dipole-conserving dynamics. We prove rigorously that whenever the local configuration space takes…

Statistical Mechanics · Physics 2023-02-28 Julius Lehmann , Pablo Sala , Frank Pollmann , Tibor Rakovszky

We consider the edge and bulk conductances for 2D quantum Hall systems in which the Fermi energy falls in a band where bulk states are localized. We show that the resulting quantities are equal, when appropriately defined. An appropriate…

Mathematical Physics · Physics 2007-05-23 A. Elgart , G. M. Graf , J. H. Schenker