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Related papers: AdS S-Matrix for Massive Vector Fields

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We show that AdS two-point functions can be obtained by connecting two points in the interior of AdS space with one point on its boundary by a dual pair of Dobrev's boundary-to-bulk intertwiners and integrating over the boundary point.

High Energy Physics - Theory · Physics 2010-04-05 Thorsten Leonhardt , Ruben Manvelyan , Werner Ruehl

We develop a new embedding-space formalism for AdS$_4$ and CFT$_3$ that is useful for evaluating Witten diagrams for operators with spin. The basic variables are Killing spinors for the bulk AdS$_4$ and conformal Killing spinors for the…

High Energy Physics - Theory · Physics 2020-03-18 Damon J. Binder , Daniel Z. Freedman , Silviu S. Pufu

The AdS/CFT correspondence has provided new and useful insights into the nonperturbative regime of strongly coupled gauge theories. We construct a class of models meant to mimic Yang-Mills theory using the superpotential method. This method…

High Energy Physics - Theory · Physics 2018-07-31 Sean P. Bartz , Aditya Dhumuntarao , Joseph I. Kapusta

We investigate the structure of the quantum S-matrix for perturbative excitations of the Pohlmeyer reduced version of the AdS_5 x S^5 superstring following arXiv:0912.2958. The reduced theory is a fermionic extension of a gauged WZW model…

High Energy Physics - Theory · Physics 2015-03-19 B. Hoare , A. A. Tseytlin

We derive the S-matrix for the d(2,1;alpha)^2 symmetric spin-chain of AdS3/CFT2 by considering the centrally extended su(1|1)^2 algebra acting on the spin-chain excitations. The S-matrix is determined uniquely up to four scalar factors,…

High Energy Physics - Theory · Physics 2015-06-12 Riccardo Borsato , Olof Ohlsson Sax , Alessandro Sfondrini

The strong form of the AdS/CFT correspondence implies that the leading $N$ expressions for the connected correlation functions of the gauge invariant operators in the free ${\cal N}=4$ supersymmetric Yang-Mills theory with the gauge group…

High Energy Physics - Theory · Physics 2007-05-23 Andrei Mikhailov

We consider a system of two massive, mutually interacting probe real scalar fields, in zero temperature holographic backgrounds. The system does not have any continuous symmetry. For a suitable range of the interaction parameters adhering…

High Energy Physics - Theory · Physics 2014-11-05 Pankaj Chaturvedi , Pallab Basu

Starting from a solution of the problem of a mechanical oscillator coupled to a scalar field inside a reflecting sphere of radius $R$, we study the behaviour of the system in free space as the limit of an arbitrarily large radius in the…

Atomic Physics · Physics 2008-11-26 N. P. Andion , A. P. C. Malbouisson , A. Mattos Neto

We present a general relation between celestial correlation functions in $d$-dimensions and Witten diagrams in $\left(d+1\right)$-dimensional Euclidean anti-de Sitter (EAdS) space, to all orders in perturbation theory. Contact diagram…

High Energy Physics - Theory · Physics 2023-06-28 Lorenzo Iacobacci , Charlotte Sleight , Massimo Taronna

We show that the spectrum of the SYK model can be interpreted as that of a 3D scalar coupled to gravity. The scalar has a mass which is at the Breitenholer-Freedman bound of AdS$_2$, and subject to a delta function potential at the center…

High Energy Physics - Theory · Physics 2017-09-20 Sumit R. Das , Antal Jevicki , Kenta Suzuki

Three-dimensional topologically massive AdS gravity has a complicated constraint algebra, making it difficult to count nonperturbative degrees of freedom. I show that a new choice of variables greatly simplifies this algebra, and confirm…

High Energy Physics - Theory · Physics 2010-04-28 S. Carlip

The issue of holographic mapping between bulk and boundary in the plane-wave limit of AdS/SYM correspondence is reexamined from the viewpoint of correlation functions. We first study the limit of large angular momentum for the so-called…

High Energy Physics - Theory · Physics 2016-09-06 S. Dobashi , T. Yoneya

The Poisson kernels and relations between them for a massive scalar field in a unit ball $B^n$ with Hua's metric and conformal flat metric are obtained by describing the $B^n$ as a submanifold of an $(n+1)$-dimensional embedding space.…

High Energy Physics - Theory · Physics 2007-05-23 Qi-Keng Lu , Zhe Chang , Han-Ying Guo

Positive frequency Wightman function and vacuum expectation value of the energy-momentum tensor are computed for a massive scalar field with general curvature coupling parameter subject to Robin boundary conditions on two parallel plates…

High Energy Physics - Theory · Physics 2009-11-10 Aram A. Saharian

We evaluate the partition function of the free and interacting O(N) vector model on a two-parameter family of squashed three spheres in the presence of a scalar deformation. We also find everywhere regular solutions of Einstein gravity…

High Energy Physics - Theory · Physics 2018-10-17 Gabriele Conti , Thomas Hertog , Yannick Vreys

This paper investigates holographic torus correlators of generic operators at conformal infinity and a finite cutoff within AdS$_3$ gravity coupled with a free scalar field. Using a near-boundary analysis and solving the gravitational…

High Energy Physics - Theory · Physics 2024-05-27 Song He , Yun-Ze Li , Yunda Zhang

We investigate loop corrections to the four-point function of identical scalar operators in a four-dimensional large $N$ conformal field theory, holographically dual to AdS with a quartic interaction. We focus on the universal part of the…

High Energy Physics - Theory · Physics 2025-09-17 Agnese Bissi , Giulia Fardelli , Mohammad Reza Khansari

It was recently shown that IIB supergravity on AdS$_5\times$S$^5$ enjoys 10d conformal symmetry and that superstring theory on this background can be described using a 10d scalar effective field theory. In this paper we adapt these two…

High Energy Physics - Theory · Physics 2022-03-30 Theresa Abl , Paul Heslop , Arthur E. Lipstein

The motion of a scalar particle in (d+1)-dimensional AdS space may be described in terms of the Cartesian coordinates that span the (d+2)-dimensional space in which the AdS space is embedded. Upon quantization, the mass hyperboloid defined…

High Energy Physics - Theory · Physics 2009-11-07 George Siopsis

The dynamics of totally symmetric free massless higher spin fields in $AdS_d$ is reformulated in terms of the compensator formalism for AdS gravity. The $AdS_5$ higher spin algebra is identified with the star product algebra with the…

High Energy Physics - Theory · Physics 2011-05-05 M. A. Vasiliev