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The canonical formalism of the (2+2) formulation of general relativity of 4 spacetime dimensions is studied under no symmetry assumptions, where the spacetime is viewed as a local product of a 2 dimensional base manifold of Lorentzian…

General Relativity and Quantum Cosmology · Physics 2024-06-03 J. H. Yoon

We propose that holographic spacetimes can be regarded as collections of quantum circuits based on path-integrals. We relate a codimension one surface in a gravity dual to a quantum circuit given by a path-integration on that surface with…

High Energy Physics - Theory · Physics 2018-12-26 Tadashi Takayanagi

We consider the generic massless cubic gravities coupled to a negative bare cosmological constant mainly in $D=5$ and $D=4$ dimensions, which are Einstein gravity extended with cubic curvature invariants where the linearized excited…

High Energy Physics - Theory · Physics 2019-04-03 Yue-Zhou Li

We propose a generalization of the RT and HRT holographic entanglement entropy formulas to spacetimes with asymptotically Minkowski as well as asymptotically AdS regions. We postulate that such spacetimes represent entangled states in a…

High Energy Physics - Theory · Physics 2025-12-03 Divij Gupta , Matthew Headrick , Martin Sasieta

We study a topological field theory in four dimensions on a manifold with boundary. A bulk-boundary interaction is introduced through a novel variational principle rather than explicitly. Through this scheme we find that the boundary values…

High Energy Physics - Theory · Physics 2010-01-06 Viqar Husain , Sebastian Jaimungal

Gravity is uniquely situated in between classical topological field theories and standard local field theories. This can be seen in the the quasi-local nature of gravitational observables, but is nowhere more apparent than in gravity's…

High Energy Physics - Theory · Physics 2019-02-20 Seth K. Asante , Bianca Dittrich , Hal M. Haggard

In this paper we will present in more detail a construction using Wilson lines and the corresponding dual Galilean conformal field theory calculations for analytically determining holographic entanglement entropy for flat space in $2+1$…

High Energy Physics - Theory · Physics 2016-07-04 Rudranil Basu , Max Riegler

We perform a comparative study of the time dependence of the holographic quantum complexity of some space like singular bulk gravitational backgrounds. This is done by considering the two available notions of complexity, one that relates it…

High Energy Physics - Theory · Physics 2018-07-04 Stefano Bolognesi , Eliezer Rabinovici , Shubho R. Roy

The holographic principle suggests that regions of space contain fewer physical degrees of freedom than would be implied by conventional quantum field theory. Meanwhile, in Hilbert spaces of large dimension $2^n$, it is possible to define…

High Energy Physics - Theory · Physics 2024-08-15 Oliver Friedrich , ChunJun Cao , Sean M. Carroll , Gong Cheng , Ashmeet Singh

We examine the correspondence between QFT observables and bulk solutions in the context of AdS/CFT in the limit as the cosmological constant $\Lambda \to 0$. We focus specifically on the spacetime metric and a non-backreacting scalar in the…

High Energy Physics - Theory · Physics 2014-11-26 R. N. Caldeira Costa

Using ambient space we develop a fully gauge and o(d,2) covariant approach to boundary values of AdS(d+1) gauge fields. It is applied to the study of (partially) massless fields in the bulk and (higher-order) conformal scalars, i.e.…

High Energy Physics - Theory · Physics 2015-06-15 Xavier Bekaert , Maxim Grigoriev

We study the effects of a generalized uncertainty principle on the classical and quantum cosmology of a closed Friedmann Universe whose matter content is either a dust or a radiation fluid. More concretely, assuming the existence of a…

General Relativity and Quantum Cosmology · Physics 2015-02-26 S. Jalalzadeh , S. M. M. Rasouli , P. V. Moniz

We develop a holographic framework for describing the experience of bulk observers in AdS/CFT, that allows us to compute the proper time and energy distribution measured along any bulk worldline. Our method is formulated directly in the CFT…

High Energy Physics - Theory · Physics 2021-09-01 Daniel Louis Jafferis , Lampros Lamprou

In the first part of this paper we provide a short introduction to the AdS/CFT correspondence and to holographic renormalization. We discuss how QFT correlation functions, Ward identities and anomalies are encoded in the bulk geometry. In…

High Energy Physics - Theory · Physics 2007-05-23 Ioannis Papadimitriou , Kostas Skenderis

Three-dimensional spacetime with a negative cosmological constant has proven to be a remarkably fertile ground for the study of gravity and higher spin fields. The theory is topological and, since there are no propagating field degrees of…

High Energy Physics - Theory · Physics 2015-06-19 Claudio Bunster , Marc Henneaux , Alfredo Perez , David Tempo , Ricardo Troncoso

The entanglement entropy has been historically studied by many authors in order to obtain quantum mechanical interpretations of the gravitational entropy. The discovery of AdS/CFT correspondence leads to the idea of holographic entanglement…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Tadashi Takayanagi

The talk is composed of two parts, both set within the AdS/CFT context. In the first part, I discuss holographic insight into strongly coupled field theory in a black hole background. I conjecture two new gravitational solutions, dubbed…

High Energy Physics - Theory · Physics 2015-05-27 Veronika E. Hubeny

Relaxing the Bondi gauge, the solution space of three-dimensional gravity in the metric formulation has been shown to contain an additional free function that promotes the boundary metric to a Lorentz or Carroll frame, in asymptotically AdS…

High Energy Physics - Theory · Physics 2022-12-21 Andrea Campoleoni , Luca Ciambelli , Arnaud Delfante , Charles Marteau , P. Marios Petropoulos , Romain Ruzziconi

We explore the holographic principle in the context of asymptotically flat space-times by means of the asymptotic symmetry group of this class of space-times, the so called Bondi-Metzner-Sachs (BMS) group. In particular we construct a…

High Energy Physics - Theory · Physics 2008-11-26 Claudio Dappiaggi

This thesis is an elaboration of recent results on the holographic re-construction of metric-like interactions in higher-spin gauge theories on anti-de Sitter space (AdS), employing their conjectured holographic duality with free conformal…

High Energy Physics - Theory · Physics 2017-09-27 Charlotte Sleight