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Related papers: Spinor Exchange in AdS_{d+1}

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This work aims to develop a global formulation for ${\cal N}=2$ harmonic/projective anti-de Sitter (AdS) superspace $\text{AdS}^{4|8}\times S^2 \simeq \text{AdS}^{4|8}\times {\mathbb C}P^1$ that allows for a simple action of superconformal…

High Energy Physics - Theory · Physics 2025-12-17 Nowar E. Koning , Sergei M. Kuzenko

These lecture notes aim to provide a pedagogical introduction to the AdS/CFT correspondence and its extensions to spacetimes with positive (de Sitter spacetime) and zero (flat spacetime) cosmological constant. We begin by explaining the…

High Energy Physics - Theory · Physics 2026-02-04 Gopal Yadav

We consider the application of twistor theory to five-dimensional anti-de Sitter space. The twistor space of AdS$_5$ is the same as the ambitwistor space of the four-dimensional conformal boundary; the geometry of this correspondence is…

High Energy Physics - Theory · Physics 2016-09-21 Tim Adamo , David Skinner , Jack Williams

The higher spin interaction currents for the conformally coupled scalar in $AdS_{4}$ space for both regular and irregular boundary condition corresponding to the free and interacting critical point of the boundary O(N) sigma model are…

High Energy Physics - Theory · Physics 2009-11-10 R. Manvelyan , W. Ruehl

Field theories in black hole spacetimes undergo dimensional reduction near horizon (in the Rindler limit) to two dimensional conformal field theories. We investigate this enhancement of symmetries in the context of gauge/gravity duality by…

High Energy Physics - Theory · Physics 2015-06-17 Prasant Samantray , T. Padmanabhan

The AdS/CFT correspondence between string theory in AdS space and conformal field theories in physical space-time leads to an analytic, semi-classical model for strongly-coupled QCD which has scale invariance and dimensional counting at…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stanley J. Brodsky , Guy F. de Teramond

We determine the scaling dimensions in the boundary $\mathsf{CFT}_{d}$ corresponding to the $\mathsf{O}(N)$ model in $\mathsf{EAdS}_{d+1}$. The $\mathsf{CFT}$ data accessible to the 4-point boundary correlator of fundamental fields are…

High Energy Physics - Theory · Physics 2025-12-12 Jonáš Dujava , Petr Vaško

We define a Mellin amplitude for CFT$_1$ four-point functions. Its analytical properties are inferred from physical requirements on the correlator. We discuss the analytic continuation that is necessary for a fully nonperturbative…

High Energy Physics - Theory · Physics 2021-10-19 Lorenzo Bianchi , Gabriel Bliard , Valentina Forini , Giulia Peveri

We compute the boundary two point functions of operators corresponding to massive spin 1 and spin 2 de Sitter fields, by an extension of the ``S-Matrix'' approach developed for bulk scalars. In each case the two point functions are of the…

High Energy Physics - Theory · Physics 2009-11-07 Oisin A. P. Mac Conamhna

In this paper, we explore momentum space approach to computing scalar amplitudes in Anti-de Sitter space. We show that the algorithm derived by Arkani-Hamed, Benincasa, and Postnikov for cosmological wavefunctions can be straightforwardly…

High Energy Physics - Theory · Physics 2020-07-01 Soner Albayrak , Chandramouli Chowdhury , Savan Kharel

We describe in more detail our approach to the conformal bootstrap which uses the Mellin representation of $CFT_d$ four point functions and expands them in terms of crossing symmetric combinations of $AdS_{d+1}$ Witten exchange functions.…

High Energy Physics - Theory · Physics 2017-05-24 Rajesh Gopakumar , Apratim Kaviraj , Kallol Sen , Aninda Sinha

We will study the AdS/CFT correspondence in an intermediate region between the strong form of this correspondence (string theory on AdS being dual to a boundary CFT), and the weak form of this correspondence (supergravity on AdS being dual…

High Energy Physics - Theory · Physics 2015-11-10 Mir Faizal , Ahmed Farag Ali , Ali Nassar

We consider a 5-dimensional Chern-Simons gauge theory for the isometry group of Anti-de-Sitter spacetime, $\operatorname{AdS}_{4+1}\simeq\operatorname{SO}(4,2)$, and invoke different dimensional reduction schemes in order to relate it to…

General Relativity and Quantum Cosmology · Physics 2018-12-18 N. L. González Albornoz , Dieter Lust , S. Salgado , Angnis Schmidt-May

We provide a detailed map between wrapped D3-branes in Anti-de Sitter (AdS) backgrounds and dibaryon operators in the corresponding conformal field theory (CFT). The effective five dimensional action governing the dynamics of AdS space…

High Energy Physics - Theory · Physics 2009-11-07 David Berenstein , Christopher P. Herzog , Igor R. Klebanov

In three dimensions, it is known that field theories possessing extended $(p,q)$ anti-de Sitter (AdS) supersymmetry with ${\cal N}=p+q \geq 3$ can be realised in (2,0) AdS superspace. Here we present a formalism to reduce every field theory…

High Energy Physics - Theory · Physics 2019-08-21 Jessica Hutomo , Sergei M. Kuzenko

We expand on the results of arXiv:1011.0780 where we presented new recursion relations for correlation functions of the stress tensor and conserved currents in conformal field theories with an AdS_p dual for p > 4. These recursion relations…

High Energy Physics - Theory · Physics 2011-06-13 Suvrat Raju

We introduce the AdS/CFT correspondence as a natural extension of QFT in a fixed AdS background. We start by reviewing some general concepts of CFT, including the embedding space formalism. We then consider QFT in a fixed AdS background and…

High Energy Physics - Theory · Physics 2016-12-21 Joao Penedones

Inspired by the AdS/CFT correspondence, we develop an explicit formal duality between the planar limit of a d-dimensional gauge theory and a classical field theory in a (d+1)-dimensional anti-de Sitter space. The key ingredient is the…

High Energy Physics - Theory · Physics 2012-02-22 Djordje Radicevic

We use the correspondence between scalar field theory on $AdS_{d+1}$ and a conformal field theory on $R^d$ to calculate the 3- and 4-point functions of the latter. The classical scalar field theory action is evaluated at tree level.

High Energy Physics - Theory · Physics 2008-11-26 Wolfgang Mueck , K. S. Viswanathan

We introduce a bosonic ambitwistor string theory in AdS space. Even though the theory is anomalous at the quantum level, one can nevertheless use it in the classical limit to derive a novel formula for correlation functions of boundary CFT…

High Energy Physics - Theory · Physics 2020-12-30 Lorenz Eberhardt , Shota Komatsu , Sebastian Mizera
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