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It is known that certain AdS boundary conditions allow smooth initial data to evolve into a big crunch. To study this type of cosmological singularity, one can use the dual quantum field theory, where the non-standard boundary conditions…

High Energy Physics - Theory · Physics 2010-03-29 Alice Bernamonti , Ben Craps

We consider continuous time random interlacements on $\mathbb{Z}^d$, $d \ge 3$, and characterize the distribution of the corresponding stationary random field of occupation times. When d = 3, we relate this random field to the…

Probability · Mathematics 2012-10-30 Alain-Sol Sznitman

We investigate the behavior of massless scalar, electromagnetic, and linearized gravitational perturbations near null infinity in d \geq 4 dimensional Minkowski spacetime (of both even and odd dimension) under the assumption that these…

General Relativity and Quantum Cosmology · Physics 2019-04-17 Gautam Satishchandran , Robert M. Wald

The AdS/CFT correspondence allows us to map a dynamical cosmology to a dual quantum field theory living on the boundary of spacetime. Specifically, we study a five-dimensional model cosmology in type IIB supergravity, where the dual theory…

High Energy Physics - Theory · Physics 2013-05-30 Ben Craps , Thomas Hertog , Neil Turok

The construction of a theory of quantum gravity is an outstanding problem that can benefit from better understanding the laws of nature that are expected to hold in regimes currently inaccessible to experiment. Such fundamental laws can be…

High Energy Physics - Theory · Physics 2020-03-17 Friedrich Schöller

This thesis contains three main parts, which are largely independent. In the first part we deal with the boundary bootstrap in supersymmetric factorized scattering theory. We give a description of supersymmetry in the case when the space is…

High Energy Physics - Theory · Physics 2007-11-21 Gabor Zsolt Toth

I argue that scattering theory for massless particles in Minkowski space should be reformulated as a mapping between past and future representations of an algebra of densities on the conformal boundary. These densities are best thought of…

High Energy Physics - Theory · Physics 2015-11-05 Tom Banks

We study the $O(N)$ and Gross-Neveu models at large $N$ on AdS$_{d+1}$ background. Thanks to the isometries of AdS, the observables in these theories are constrained by the SO$(d,2)$ conformal group even in the presence of mass…

High Energy Physics - Theory · Physics 2019-02-20 Dean Carmi , Lorenzo Di Pietro , Shota Komatsu

We propose a holographic dictionary which comes from reducing the bulk theories in an asymptotically flat spacetime to its null infinity. A general boundary theory is characterized by a fundamental field, an infinite tower of descendant…

High Energy Physics - Theory · Physics 2024-01-23 Wen-Bin Liu , Jiang Long

We review the solutions of O(N) and U(N) quantum field theories in the large $N$ limit and as 1/N expansions, in the case of vector representations. Since invariant composite fields have small fluctuations for large $N$, the method relies…

High Energy Physics - Theory · Physics 2010-12-03 Moshe Moshe , Jean Zinn-Justin

Asymptotically flat spacetimes have been studied in five separate regions: future/past timelike infinity $i^\pm$, future/past null infinity $\mathcal{I}^\pm$, and spatial infinity $i^0$. We formulate assumptions and definitions such that…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Geoffrey Compère , Samuel E. Gralla , Hongji Wei

Motivated by the holographic principle, within the context of the AdS/CFT Correspondence in the large t'Hooft limit, we investigate how the geometry of certain highly symmetric bulk spacetimes can be recovered given information of physical…

High Energy Physics - Theory · Physics 2025-03-06 Samuel Bilson

We present a novel method for computing the Minkowski Functionals from isodensity surfaces extracted directly from the Delaunay tessellation of a point distribution. This is an important step forward compared to the previous cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2010-06-23 Miguel A. Aragon-Calvo , Sergei F. Shandarin , Alexander Szalay

Critical systems are described by conformal field theories, whose dynamics can be exactly solved in two dimensions. In the presence of a boundary, with the so-called method of images it is possible to study the surface critical behaviour of…

High Energy Physics - Theory · Physics 2007-05-23 Valentina Riva

Motivated by the AdS/CFT correspondence, we use Monte Carlo simulation to investigate the Ising model formulated on tessellations of the two-dimensional hyperbolic disk. We focus in particular on the behavior of boundary-boundary…

High Energy Physics - Lattice · Physics 2022-10-05 Muhammad Asaduzzaman , Simon Catterall , Jay Hubisz , Roice Nelson , Judah Unmuth-Yockey

This is the first paper in a series aimed to implement boundary conditions consistent with the constraints' propagation in 3D numerical relativity. Here we consider spherically symmetric black hole spacetimes in vacuum or with a minimally…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gioel Calabrese , Luis Lehner , Manuel Tiglio

In previous work arXiv:2407.13556, we proposed an extended phase space structure at null infinity accommodating large gauge symmetries for sub$^n$-leading soft theorems in Yang-Mills, via dressing fields arising in the Stueckelberg…

High Energy Physics - Theory · Physics 2026-03-26 Silvia Nagy , Javier Peraza , Giorgio Pizzolo

Motivated by the generation of action principles from off-shell dualisation, we present a general class of free, topological theories in three dimensional Minkowski spacetime that exhibit higher-spin gauge invariance. In the spin-two case,…

High Energy Physics - Theory · Physics 2023-12-07 Nicolas Boulanger , Andrea Campoleoni , Victor Lekeu , Evgeny Skvortsov

We develop further previous work on de Sitter extremal surfaces and time entanglement structures in quantum mechanics. In the first part, we first discuss explicit quotient geometries. Then we construct smooth bulk geometries with replica…

High Energy Physics - Theory · Physics 2025-11-20 Kanhu Kishore Nanda , K. Narayan , Somnath Porey , Gopal Yadav

From a consistent Kaluza-Klein truncation of 11-dimensional supergravity over AdS_4 x CP^3 x S^1/Z_k, with a general 4-form ansatz, we arrive at a set of equations and solutions for the included fields. In particular, we have a bulk…

High Energy Physics - Theory · Physics 2018-12-21 M. Naghdi