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What is the dimension of spacetime? We address this question in the context of the AdS/CFT Correspondence. We give a prescription for computing the number of large bulk dimensions, $D$, from strongly-coupled CFT$_d$ data, where "large"…

High Energy Physics - Theory · Physics 2019-11-14 Luis F. Alday , Eric Perlmutter

I discuss a number of novel topics in QCD, including the use of the AdS/CFT correspondence between Anti-de Sitter space and conformal gauge theories to obtain an analytically tractable approximation to QCD in the regime where the QCD…

High Energy Physics - Phenomenology · Physics 2009-09-11 Stanley J. Brodsky

This note is aimed at presenting a new algebraic approach to momentum-space correlators in conformal field theory. As an illustration we present a new Lie-algebraic method to compute frequency-space two-point functions for charged scalar…

High Energy Physics - Theory · Physics 2013-12-13 Satoshi Ohya

The Goldstone equivalence theorem allows one to relate scattering amplitudes of massive gauge fields to those of scalar fields in the limit of large scattering energies. We generalize this theorem under the framework of the AdS/CFT…

High Energy Physics - Theory · Physics 2015-08-05 Nikhil Anand , Sean Cantrell

The Hamiltonian governing the gravitational interaction of N relativistic particles in a four-dimensional anti-de Sitter background is derived to leading order in Newton's constant. The resulting pairwise interactions, combined with the…

High Energy Physics - Theory · Physics 2024-07-10 David A. Lowe , Larus Thorlacius

We propose a new non-holographic formulation of AdS/CFT correspondence, according to which quantum gravity on AdS and its dual non-gravitational field theory both live in the same number D of dimensions. The field theory, however, appears…

High Energy Physics - Theory · Physics 2015-07-03 H. Nikolic

We investigate the thermodynamics and thermodynamic geometry of several Anti--de Sitter black hole solutions arising from nonlinear electromagnetic theories, namely the ModMax, nonlinear electrodynamics (NED), and Euler--Heisenberg AdS…

High Energy Physics - Theory · Physics 2026-03-16 Abhishek Baruah , Amijit Bhattacharjee , Prabwal Jyoti Phukon

I give a brief introduction to the AdS/CFT correspondence targeted at heavy-ion physicists. I also review some insights to our understanding of the early stages of heavy-ion collisions coming from selected studies made using methods of the…

High Energy Physics - Phenomenology · Physics 2015-06-23 Romuald A. Janik

We demonstrate how three-point correlation functions of the free scalar U(N) model involving two scalar operators and one spin-$s$ conserved current organize themselves into corresponding AdS amplitudes involving two scalar and one spin-$s$…

High Energy Physics - Theory · Physics 2020-09-23 Shailesh Lal

In order to understand a boundary description of Hawking radiation in the AdS/CFT correspondence, we investigate the trace anomaly method in AdS$_2$ space. In this method, Hawking radiation is derived from the trace anomaly of the…

High Energy Physics - Theory · Physics 2009-02-05 Takeshi Morita

We analyse the spectrum of perturbations of the de Sitter space on the one hand, while on the other hand we compute the location of the poles in the Conformal Field Theory (CFT) propagator at the border. The coincidence is striking,…

High Energy Physics - Theory · Physics 2009-11-07 E. Abdalla , K. H. C. Castello-Branco , A. Lima-Santos

Large-$N$, $\epsilon$-expansion or the conformal bootstrap allow one to make sense of some of conformal field theories in non-integer dimension, which suggests that AdS/CFT may also extend to fractional dimensions. It was shown recently…

High Energy Physics - Theory · Physics 2017-08-29 E. D. Skvortsov , Tung Tran

In this paper, we propose a conformally covariant momentum space representation of CFT correlation functions. We call it the AdS S-matrix. This representation has the property that it reduces to the S-matrix in the flat space limit. The…

High Energy Physics - Theory · Physics 2022-10-19 Abhijit Gadde , Trakshu Sharma

We review recent progress on computing scattering amplitudes of planar N=4 super Yang-Mills at strong coupling by using the AdS/CFT duality. We do explicit computations by using both, dimensional regularization and a cut-off in the radial…

High Energy Physics - Theory · Physics 2008-11-26 Luis F. Alday

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 2017-08-23 Stanley J. Brodsky

We present two examples of non-trivial field theories which are scale invariant, but not conformally invariant. This is done by placing certain field theories, which are conformally invariant in flat space, onto curved backgrounds of a…

High Energy Physics - Theory · Physics 2009-10-31 Adel M. Awad , Clifford V. Johnson

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 study energy transport in a conformal junction connecting three 2D conformal field theories using the AdS/CFT correspondence. The holographic dual consists of three AdS$_3$ spacetimes joined along the worldsheet of a tensile string…

High Energy Physics - Theory · Physics 2025-10-28 Yan Liu , Chuan-Yi Wang

Non-perturbative limitations on low-energy effective field theories (EFTs) based on the characteristics of high-energy theory are provided by the analyticity of the flat-space version of the S-matrix. Although the analyticity of the…

High Energy Physics - Theory · Physics 2026-01-30 Sayantan Choudhury

We elaborate a detailed study of certain aspects of (a version of) the AdS/CFT correspondence, conjectured by Maldacena and Witten, between quantum field theories in a gravitational background given by an asymptotically anti-de Sitter…

Mathematical Physics · Physics 2008-06-26 Pedro Lauridsen Ribeiro
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