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Related papers: Interacting Spinors-Scalars and AdS/CFT Correspond…

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Recently constructed gravity solutions with Schrodinger symmetry provide a new example of AdS/CFT-type dualities for the type of non-relativistic field theories relevant to certain cold atom systems. In this paper we use the gravity side to…

High Energy Physics - Theory · Physics 2009-05-29 Anastasia Volovich , Congkao Wen

In the AdS/CFT correspondence, CFTs are identified by asymptotic boundary surfaces and the boundary conditions imposed on those surfaces. However, AdS can be foliated in various ways to give different boundaries. We show that the CFTs…

High Energy Physics - Theory · Physics 2016-03-02 Borun D. Chowdhury , Maulik K. Parikh

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

We obtain exact results for correlation functions of primary operators in the two-dimensional conformal field theory of a scalar field interacting with a critical periodic boundary potential. Amplitudes involving arbitrary bulk discrete…

High Energy Physics - Theory · Physics 2009-11-10 Kristjan R. Kristjansson , Larus Thorlacius

We study a Randall-Sundrum cosmological scenario consisting of a domain wall in anti-de Sitter space with a strongly coupled large $N$ conformal field theory living on the wall. The AdS/CFT correspondence allows a fully quantum mechanical…

High Energy Physics - Theory · Physics 2009-10-31 S. W. Hawking , T. Hertog , H. S. Reall

The AdS/CFT correspondence is applied to a close analogue of the little hierarchy problem in $AdS_{d+1}$, $d \geq 3$. The new mechanism requires a Maxwell field that gauges a $U(1)_R$ symmetry in a bulk supergravity theory with a negative…

High Energy Physics - Theory · Physics 2015-10-08 Xi Dong , Daniel Z. Freedman , Yue Zhao

We formulate axioms of conformal theory (CT) in dimensions $>2$ modifying Segal's axioms for two-dimensional CFT. (In the definition of higher-dimensional CFT one includes also a condition of existence of energy-momentum tensor.) We use…

High Energy Physics - Theory · Physics 2016-07-20 Albert Schwarz

We compute the conformal blocks associated with scalar-scalar-fermion-fermion 4-point functions in 3D CFTs. Together with the known scalar conformal blocks, our result completes the task of determining the so-called `seed blocks' in three…

High Energy Physics - Theory · Physics 2016-07-08 Luca Iliesiu , Filip Kos , David Poland , Silviu S. Pufu , David Simmons-Duffin , Ran Yacoby

The scattering equations relate massless scattering kinematics to marked points on a Riemann sphere, and underpin remarkable formulae for the full tree-level S-matrices of many interesting QFTs, including cubic biadjoint scalars, Yang-Mills…

High Energy Physics - Theory · Physics 2026-01-13 Tim Adamo , Iustin Surubaru , Bin Zhu

The dynamics of an expanding hadron fluid at temperatures below the chiral transition is studied in the framework of AdS/CFT correspondence. We establish a correspondence between the asymptotic AdS geometry in the 4+1-dimensional bulk with…

High Energy Physics - Theory · Physics 2015-04-01 Neven Bilić , Silvije Domazet , Dijana Tolić

We study a set of CFT operators suitable for reconstructing a charged bulk scalar field $\phi$ in AdS${}_3$ (dual to an operator ${\cal O}$ of dimension $\Delta$ in the CFT) in the presence of a conserved spin-$n$ current in the CFT. One…

High Energy Physics - Theory · Physics 2020-12-02 Daniel Kabat , Gilad Lifschytz

We argue that there is a relationship between stochastic quantization and AdS/CFT, and we present an explicit calculation to support our claim. In particular, we show that a conformally coupled scalar with phi4 interaction on AdS4 is…

High Energy Physics - Theory · Physics 2010-12-01 Diego S. Mansi , Andrea Mauri , Anastasios C. Petkou

This work explores the celebrated AdS/CFT correspondence in the regime of high energy scattering in Anti--de Sitter (AdS) spacetime. In particular, we develop the eikonal approximation to high energy scattering in AdS and explore its…

High Energy Physics - Theory · Physics 2008-02-06 Joao Penedones

In this letter we examine some structural aspects of the AdS/CFT such as the way of obtaining the expectation value of product of operators of the CFT, and ideas that should be considered when a proof of AdS/CFT is under consideration.

High Energy Physics - Theory · Physics 2019-05-22 Leonardo Ortíz

In the current study, authors present the comprehensive analysis of the Anti-de Sitter/Boundary Conformal Field Theory (AdS/BCFT) correspondence for Lovelock theory of second order in the presence of canonical (and real) scalar field…

High Energy Physics - Theory · Physics 2022-06-10 Oleksii Sokoliuk , Fabiano F. Santos , Alexander Baransky

Using the AdS/CFT correspondence, we compute the tree-level four-point boundary scalar correlation function for a scalar field conformally coupled to the graviton field on Euclidean AdS4. We assume that the dynamics of the graviton field is…

High Energy Physics - Theory · Physics 2025-01-08 Carmelo P. Martin

This work explores holographic correlators within the frameworks of two-dimensional Boundary Conformal Field Theory (BCFT) and Crosscap Conformal Field Theory (XCFT). Utilizing the AdS/CFT correspondence, we compute stress tensor…

High Energy Physics - Theory · Physics 2025-03-13 Yun-Ze Li , Yunfei Xie , Song He

We address the problem of computing scattering amplitudes related to the correlation function of two Wilson lines and/or loops elongated along light-cone directions in strongly coupled gauge theories. Using the AdS/CFT correspondence in the…

High Energy Physics - Theory · Physics 2008-11-26 R. A. Janik , R. Peschanski

An S-matrix analog is defined for anti-de Sitter space by constructing ``in'' and ``out'' states that asymptote to the timelike boundary. A derivation parallel to that of the LSZ formula shows that this ``boundary S-matrix'' is given…

High Energy Physics - Theory · Physics 2009-10-31 Steven B. Giddings

We propose a prescription for describing correlation functions in higher-dimensional defect conformal field theories (DCFTs) by those in ancillary conformal field theories (CFTs) without defects, which is a vast generalization of the image…

High Energy Physics - Theory · Physics 2022-12-09 Tatsuma Nishioka , Yoshitaka Okuyama , Soichiro Shimamori