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We provide a new general setting for scalar interacting fields on the covering of a d+1-dimensional AdS spacetime. The formalism is used at first to construct a one-paramater family of field theories, each living on a corresponding…

High Energy Physics - Theory · Physics 2007-05-23 M. Bertola , J. Bros , U. Moschella , R. Schaeffer

We investigate a structure of a 4-dimensional bulk space constructed from the $O(N)$ invariant critical $\varphi^4$ model in 3-dimension using the conformal smearing. We calculate a bulk metric corresponding to the information metric and…

High Energy Physics - Theory · Physics 2024-11-12 Sinya Aoki , Kiyoharu Kawana , Kengo Shimada

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

Attempts to resolve the longstanding Fermion mass hierarchy (FMH) problem in frames of the AdS/CFT correspondence demand the knowledge of bulk fermion masses. The approach of the "old" conformal bootstrap in AdS context permitted to…

High Energy Physics - Theory · Physics 2020-02-26 Boris L. Altshuler

The imposition of a constraint between the metric tensor elements in both three- and four-dimensional, rotating AdS space-times is shown to reduce the number of independent equations of motion and to result in new families of solutions to…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Benjamin Harms

In this article we study giant gravitons in the framework of AdS/CFT correspondence. First, we show how to describe these configurations in the CFT side using a matrix model. In this picture, giant gravitons are realized as single…

High Energy Physics - Theory · Physics 2010-02-03 Marco M. Caldarelli , Pedro J. Silva

We generalize the work of Kabat and Lifshytz (arXiv:1703.06523), of reconstructing bulk scalar fields using the intersecting modular hamiltonian approach discussed therein, to any locally $AdS_3$ space related to $AdS_3$ by large…

High Energy Physics - Theory · Physics 2019-01-30 Suchetan Das , Bobby Ezhuthachan

We derive the propagators for higher-spin master fields in anti-de Sitter space of arbitrary dimension. A method is developed to construct the propagators directly without solving any differential equations. The use of the ambient space,…

High Energy Physics - Theory · Physics 2015-06-05 V. E. Didenko , E. D. Skvortsov

We quantize a massive scalar field in de Sitter spacetime and derive the S-matrix for the general interacting theory. Using the general boundary formulation of quantum field theory, we also propose a new type of S-matrix derived from the…

High Energy Physics - Theory · Physics 2010-10-07 Daniele Colosi

Apart from a lot of fundamental interest, vector Bessel beams are widely used in optical manipulation, material processing, and imaging. However, the existing description of such beams remains fragmentary, especially when their scattering…

Optics · Physics 2022-09-15 Stefania A. Glukhova , Maxim A. Yurkin

In Lorentzian AdS/CFT there exists a mapping between local bulk operators and nonlocal CFT operators. In global AdS this mapping can be found through use of bulk equations of motion and allows the nonlocal CFT operator to be expressed as a…

High Energy Physics - Theory · Physics 2013-08-15 Stefan Leichenauer , Vladimir Rosenhaus

We develop elements of coordinate-space perturbation theory for massive quantum field theories in general $d$-dimensional Euclidean space. Using the expansion in Gegenbauer polynomials, we provide analytic expressions for several…

High Energy Physics - Lattice · Physics 2025-11-24 Christoph L. Schröder , Harvey B. Meyer

It is well-known that the entanglement entropies for spacelike subregions, and the associated modular Hamiltonians play a crucial role in the bulk reconstruction program within Anti de-Sitter (AdS) holography. Explicit examples of HKLL map…

High Energy Physics - Theory · Physics 2024-03-12 Avijit Das , Shivrat Sachdeva , Debajyoti Sarkar

The AdS/CFT correspondence has significantly impacted the study of strongly coupled systems, providing insights into various condensed matter phenomena through its holographic duality. This paper introduces an alternative approach to the…

High Energy Physics - Theory · Physics 2024-04-05 Markus A. G. Amano , Minoru Eto

We bootstrap the S-matrix of massless particles in unitary, relativistic two dimensional quantum field theories. We find that the low energy expansion of such S-matrices is strongly constrained by the existence of a UV completion. In the…

High Energy Physics - Theory · Physics 2021-02-05 Joan Elias Miro , Andrea L. Guerrieri , Aditya Hebbar , Joao Penedones , Pedro Vieira

We study the evolution of cosmological perturbations in an anti-de-Sitter (AdS) bulk through a cosmological singularity by mapping the dynamics onto the boundary conformal fields theory by means of the AdS/CFT correspondence. We consider a…

High Energy Physics - Theory · Physics 2016-07-27 Elisa G. M. Ferreira , Robert Brandenberger

We study the properties of massive fields extrapolated to the blowup of spatial infinity ($\hat{i}^0$), extending the program initiated in arXiv:2207.06406. In the free theory, we find an explicit representation of boundary two-point…

High Energy Physics - Theory · Physics 2024-05-31 Anupam A. H , P. V. Athira , Priyadarshi Paul , Suvrat Raju

While the standard construction of the S-matrix fails on Anti-de Sitter (AdS) spacetime, a generalized S-matrix makes sense, based on the hypercylinder geometry induced by the boundary of AdS. In contrast to quantum field theory in…

High Energy Physics - Theory · Physics 2015-12-15 Max Dohse , Robert Oeckl

Clarifying the locality properties of higher-spin gravity is a pressing task, but notoriously difficult due to the absence of a weakly-coupled flat regime. The simplest non-trivial case where this question can be addressed is the quartic…

High Energy Physics - Theory · Physics 2016-01-20 Xavier Bekaert , Johanna Erdmenger , Dmitry Ponomarev , Charlotte Sleight

We derive an optical theorem for perturbative CFTs which computes the double discontinuity of conformal correlators from the single discontinuities of lower order correlators, in analogy with the optical theorem for flat space scattering…

High Energy Physics - Theory · Physics 2021-04-28 António Antunes , Miguel S. Costa , Tobias Hansen , Aaditya Salgarkar , Sourav Sarkar