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The AdS/CFT correspondence is a powerful tool to study the properties of conformal QCD at strong coupling in terms of a higher dimensional dual gravity theory. The power-law falloff of scattering amplitudes in the non-perturbative regime…

High Energy Physics - Phenomenology · Physics 2017-08-23 Guy F. de Teramond , Stanley J. Brodsky

We consider the wave equation on asymptotically Minkowski spacetimes and the Klein-Gordon equation on even asymptotically de Sitter spaces. In both cases we show that the extreme difference of propagators (i.e. retarded propagator minus…

Mathematical Physics · Physics 2018-01-24 András Vasy , Michał Wrochna

By use of the AdS/CFT correspondence on orbifolds, models are derived which can contain the standard model of particle phenomenology. It will be assumed that the theory becomes conformally invariant at a renormalization-group fixed-point in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Paul H. Frampton

This is a short summary of the paper hep-th/9910037. An algebra of functions on q-deformed Anti-de Sitter space AdS_q^D is defined for q a root of unity, which is covariant under U_q(so(2,D-1)). The scalar fields have an intrinsic high-…

Quantum Algebra · Mathematics 2007-05-23 Harold Steinacker

We provide necessary and sufficient conditions for a Conformal Field Theory to have a description in terms of a perturbative Effective Field Theory in AdS. The first two conditions are well-known: the existence of a perturbative `1/N'…

High Energy Physics - Theory · Physics 2015-06-11 A. Liam Fitzpatrick , Jared Kaplan

The well-known fact that classical automorphisms of (compactified) Minkowski spacetime (Poincare or conformal trandsformations) also allow a natural derivation/interpretation in the modular setting (in the operator-algebraic sense of Tomita…

High Energy Physics - Theory · Physics 2007-05-23 Lucio Fassarella , Bert Schroer

We review recent progress in understanding the anti-de Sitter/conformal field theory correspondence in the context of two-dimensional dilaton gravity theory.

High Energy Physics - Theory · Physics 2009-11-07 M. Cadoni , P. Carta

Holographic quantum field theories that confine in flat space, are considered on a fixed AdS space. The space of holographic solutions for such theories is constructed and three types of regular solutions are found. Theories with two AdS…

High Energy Physics - Theory · Physics 2024-09-05 Ahmad Ghodsi , Elias Kiritsis , Francesco Nitti

We study analytically the constraints of the conformal bootstrap on the low-lying spectrum of operators in field theories with global conformal symmetry in one and two spacetime dimensions. We introduce a new class of linear functionals…

High Energy Physics - Theory · Physics 2017-05-24 Dalimil Mazac

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 apply our previous work on Green's functions for the four-dimensional quaternionic Taub-NUT manifold to obtain a scalar two-point function on the homogeneously squashed three-sphere (otherwise known as the Berger sphere), which lies at…

High Energy Physics - Theory · Physics 2009-11-10 Konstantinos Zoubos

We study a real, massive Klein-Gordon field in the Poincar\'e fundamental domain of the $(d+1)$-dimensional anti-de Sitter (AdS) spacetime, subject to a particular choice of dynamical boundary conditions of generalized Wentzell type,…

High Energy Physics - Theory · Physics 2018-05-09 Claudio Dappiaggi , Hugo R. C. Ferreira , Benito A. Juárez-Aubry

The AdS/CFT correspondence between conformal field theory and string states in an extended space-time has provided new insights into not only hadron spectra, but also their light-front wavefunctions. We show that there is an exact…

High Energy Physics - Phenomenology · Physics 2015-06-25 Stanley J. Brodsky

Using the AdS-CFT correspondence we calculate the two point function of CFT energy momentum tensors. The AdS gravitons are considered by explicitly solving the Dirichlet boundary value problem for $x_0=\epsilon$. We consider this treatment…

High Energy Physics - Theory · Physics 2016-09-06 W. Mück , K. S. Viswanathan

We study real-time holographic four point Wightman functions involving scalars, photons, gluons and gravitons in the Poincare patch of AdS$_4$. We show that when the momenta of the middle two operators are spacelike, four-point exchange…

High Energy Physics - Theory · Physics 2025-12-05 Arhum Ansari , Sachin Jain , Dhruva K. S

We formulate $\lambda$-deformed $\sigma$-models as QFTs in the upper-half plane. For different boundary conditions we compute correlation functions of currents and primary operators, exactly in the deformation parameter $\lambda$ and for…

High Energy Physics - Theory · Physics 2021-05-27 Konstantinos Sfetsos , Konstantinos Siampos

We study general correlation functions of various quantum field theories in the holographic setup. Following the holographic proposal, we investigate correlation functions via a geodesic length connecting boundary operators. We show that…

High Energy Physics - Theory · Physics 2023-12-21 Hanse Kim , Jitendra Pal , Chanyong Park

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

This paper is designed to be a practical tool for constructing and investigating two-point correlation functions in defect conformal field theory, directly in physical space, between any two bulk primaries or between a bulk primary and a…

High Energy Physics - Theory · Physics 2021-05-12 Christopher P. Herzog , Abhay Shrestha

The work is an attempt to model a scenario of inflation in the framework of Anti de Sit- ter/Conformal Field theory (AdS/CFT) duality, a potentially complete nonperturbative description of quantum gravity via string theory. We look at…

High Energy Physics - Theory · Physics 2014-11-20 David A. Lowe , Shubho Roy