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Bootstrap equations for conformal correlators that mimic the early theory of conformal bootstrap are written down in frames of the AdS/CFT approach. The simplified version of these equations, that may be justified if Schwinger-Keldysh…

High Energy Physics - Theory · Physics 2020-01-28 Boris L. Altshuler

The perturbed conformal field theories corresponding to the massive Symmetric Space sine-Gordon soliton theories are identified by calculating the central charge of the unperturbed conformal field theory and the conformal dimension of the…

High Energy Physics - Theory · Physics 2009-10-31 O. A. Castro Alvaredo , J. L. Miramontes

The AdS/CFT correspondence has led to important insights into the properties of quantum chromodynamics even though QCD is a broken conformal theory. A holographic model based on a truncated AdS space can be used to obtain the hadronic…

High Energy Physics - Phenomenology · Physics 2009-09-11 S. J. Brodsky , G. F. de Teramond

We develop a framework for the reconstruction of the bulk theory dual to conformal field theory (CFT) without any assumption by means of a flow equation. To this end we investigate a minimal extension of the free flow equation and find that…

High Energy Physics - Theory · Physics 2023-02-24 Sinya Aoki , Janos Balog , Tetsuya Onogi , Shuichi Yokoyama

I describe a novel covariant formulation of massive gauge theories in which the longitudinal polarization vectors do not grow with the energy. Therefore in the present formalism, differently from the ordinary one, the energy and coupling…

High Energy Physics - Phenomenology · Physics 2014-09-12 Andrea Wulzer

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

In recent applications of AdS/CFT to condensed matter physics, a metric that transforms covariantly under dilatation has been argued to signal hyperscaling violation in a dual quantum field theory. We contextualize and introduce large, in…

High Energy Physics - Theory · Physics 2015-06-05 Eric Perlmutter

We study operators in Schr\"odinger invariant field theories (non-relativistic conformal field theories or NRCFTs) with large charge (particle number) and spin. Via the state-operator correspondence for NRCFTs, such operators correspond to…

High Energy Physics - Theory · Physics 2019-06-26 S. M. Kravec , Sridip Pal

We consider manifestly crossing symmetric dispersion relations for Mellin amplitudes of scalar four point correlators in conformal field theories (CFTs). This allows us to set up the non-perturbative Polyakov bootstrap for CFTs in Mellin…

High Energy Physics - Theory · Physics 2021-05-31 Rajesh Gopakumar , Aninda Sinha , Ahmadullah Zahed

We give a brief review of the AdS/CFT correspondence, which posits the equivalence between a certain gravitational theory and a lower-dimensional non-gravitational one. This remarkable duality, formulated in 1997, has sparked a vigorous…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Veronika E. Hubeny

The large N behavior of Matrix theory is discussed on the basis of the previously proposed generalized conformal symmetry. The concept of `oblique' AdS/CFT correspondence, in which the conformal symmetry involves both the space-time…

High Energy Physics - Theory · Physics 2011-04-15 Tamiaki Yoneya

The class of the Generalized Coherent Potential Approximations (GCPA) to the Density Functional Theory (DFT) is introduced within the Multiple Scattering Theory formalism for dealing with, ordered or disordered, metallic alloys. All GCPA…

Materials Science · Physics 2009-11-13 Ezio Bruno , Francesco Mammano , Antonino Fiorino , Emanuela V. Morabito

The AdS_3/CFT_2 correspondence is checked beyond the supergravity approximation by comparing correlation functions. To this end we calculate 2- and 3-point functions on the sphere of certain chiral primary operators for strings on AdS_3 x…

High Energy Physics - Theory · Physics 2010-10-27 Matthias R. Gaberdiel , Ingo Kirsch

We consider an effective theory of massive scalar fields on a fixed AdS$_{d+1}$ background with a cubic extremal interaction among them. A bulk coupling is called extremal whenever the corresponding conformal dimension of any of the dual…

High Energy Physics - Theory · Physics 2025-01-10 Alejandra Castro , Pedro J. Martinez

We construct a bulk spacetime from a boundary CFT, $O(N)$ free scalar model, at finite temperature using a smearing technique, called a conformal flow. The bulk metric is constructed as an information metric associated with the boundary…

High Energy Physics - Theory · Physics 2023-08-03 Sinya Aoki , János Balog , Kiyoharu Kawana , Kengo Shimada

In these lecture notes we first assemble the basic ingredients of supersymmetric gauge theories (particularly N=4 super-Yang-Mills theory), supergravity, and superstring theory. Brane solutions are surveyed. The geometry and symmetries of…

High Energy Physics - Theory · Physics 2007-05-23 Eric D'Hoker , Daniel Z. Freedman

This is an introductory review of the AdS/CFT correspondence and of the ideas that led to its formulation. We show how comparison of stacks of D3-branes with corresponding supergravity solutions leads to dualities between conformal large…

High Energy Physics - Theory · Physics 2017-08-23 Igor R. Klebanov

There are effective field theories that cannot be embedded in any UV complete theory. We consider scalar effective field theories, with and without dynamical gravity, in $D$-dimensional anti-de Sitter (AdS) spacetime with large radius and…

High Energy Physics - Theory · Physics 2022-02-16 Sandipan Kundu

We use the AdS/CFT correspondence to calculate CFT correlation functions of vector and spinor fields. The connection between the AdS and boundary fields is properly treated via a Dirichlet boundary value problem.

High Energy Physics - Theory · Physics 2008-11-26 W. Mück , K. S. Viswanathan

Global conformal invariance determines the form of two and three-point functions of quasi-primary operators in a conformal field theory, and generates nontrivial relations between terms in the operator product expansion. These ideas are…

High Energy Physics - Theory · Physics 2017-10-04 Atreya Chatterjee , David A. Lowe