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We begin by reexamining the holographic reconstruction of scalar fields in four-dimensional anti-de Sitter spacetime, adopting a purely Lorentzian signature derivation, reproducing earlier results of HKLL and generalizing to arbitrary…

High Energy Physics - Theory · Physics 2024-11-05 David A. Lowe , Yiru Wang , Juanyi Yang

The large-$N$ limit of $O(N)$-symmetric bosonic field theories, or $U(N)$-symmetric fermionic field theories, is amenable to a saddle point approximation. As a result, there is a family of closely related algorithms for efficient lattice…

High Energy Physics - Lattice · Physics 2022-01-03 Scott Lawrence

The AdS/CFT correspondence is established for the case of AdS$_3$ space compactified on a filled rectangular torus with the CFT field on the boundary.

High Energy Physics - Theory · Physics 2007-05-23 L. Chekhov

The AdS/CFT correspondence is developed from classical solutions on AdS_5 with two boundaries. The corresponding limits and the reduction of degrees of freedom are discussed, as well as the required renormalization on the field theory side.…

High Energy Physics - Theory · Physics 2007-05-23 U. Ellwanger

Study of correlation functions in AdS/CFT and in-in correlators in de Sitter space often requires the computation of Witten diagrams. Due to the complexity of evaluating radial integrals for these correlators, several indirect approaches…

High Energy Physics - Theory · Physics 2024-08-26 Chandramouli Chowdhury , Pratyusha Chowdhury , Radu N. Moga , Kajal Singh

Light cone form of field dynamics in anti-de Sitter spacetime is described. We also present light cone reformulation of the boundary conformal field theory representations. AdS/CFT correspondence between the bulk fields and the boundary…

High Energy Physics - Theory · Physics 2007-05-23 R. R. Metsaev

We present a detailed analysis of a scalar conformal four-point function obtained from AdS/CFT correspondence. We study the scalar exchange graphs in AdS and discuss their analytic properties. Using methods of conformal partial wave…

High Energy Physics - Theory · Physics 2007-05-23 L. Hoffmann , A. C. Petkou , W. Ruehl

We reconsider the role of wormholes in the AdS/CFT correspondence. We focus on Euclidean wormholes that connect two asymptotically AdS or hyperbolic regions with $\mathbb{S}^1\times \mathbb{S}^{d-1}$ boundary. There is no solution to…

High Energy Physics - Theory · Physics 2022-11-30 Jordan Cotler , Kristan Jensen

The study of critical quantum many-body systems through conformal field theory (CFT) is one of the pillars of modern quantum physics. Certain CFTs are also understood to be dual to higher-dimensional theories of gravity via the anti-de…

Quantum Physics · Physics 2022-02-08 Alexander Jahn , Zoltán Zimborás , Jens Eisert

We construct a new class of differential operators that naturally act on AdS harmonic functions. These are weight shifting operators that change the spin and dimension of AdS representations. Together with CFT weight shifting operators, the…

High Energy Physics - Theory · Physics 2018-09-13 Miguel S. Costa , Tobias Hansen

We study N <= 2 superconformal and supersymmetric theories on Lorentzian threemanifolds with a view toward holographic applications, in particular to BPS black hole solutions. As in the Euclidean case, preserved supersymmetry for…

High Energy Physics - Theory · Physics 2015-06-15 Kiril Hristov , Alessandro Tomasiello , Alberto Zaffaroni

In this work, we study the proposed duality between superstring on AdS$_3\times$S$^3\times\mathbb{T}^4$ with pure NS-NS flux and a deformed symmetric orbifold CFT. We extract the residues of 3-point string correlators at their…

High Energy Physics - Theory · Physics 2025-06-23 Zhe-fei Yu

We study the contact terms that appear in the correlation functions of exactly marginal operators using the AdS/CFT correspondence. It is known that CFT with an exactly marginal deformation requires the existence of the contact terms with…

High Energy Physics - Theory · Physics 2020-10-14 Tadakatsu Sakai , Masashi Zenkai

We discuss string theory on AdS(3)xS(3)xM(4) with particular emphasis on unitarity and state-operator correspondence. The AdS-CFT correspondence, in the Minkowski signature, is re-examined by taking into account the only allowed unitary…

High Energy Physics - Theory · Physics 2007-05-23 I. Bars , C. Deliduman , D. Minic

We consider two-dimensional chiral, first-order conformal field theories governing maps from the Riemann sphere to the projective light cone inside Minkowski space -- the natural setting for describing conformal field theories in two fewer…

High Energy Physics - Theory · Physics 2017-09-13 Tim Adamo , Ricardo Monteiro , Miguel F. Paulos

In two remarkable recent papers, hep-th/0610248 and hep-th/0610251, the complete planar perturbative expansion was proposed for the universal function of the coupling, f(g), appearing in the dimensions of high-spin operators of the N=4 SYM…

High Energy Physics - Theory · Physics 2008-11-26 M. K. Benna , S. Benvenuti , I. R. Klebanov , A. Scardicchio

We develop a new embedding-space formalism for AdS$_4$ and CFT$_3$ that is useful for evaluating Witten diagrams for operators with spin. The basic variables are Killing spinors for the bulk AdS$_4$ and conformal Killing spinors for the…

High Energy Physics - Theory · Physics 2020-03-18 Damon J. Binder , Daniel Z. Freedman , Silviu S. Pufu

Based on Maldacena's description of an eternal AdS-black hole, we reassess the Thermo Field Dynamics (TFD) formalism in the context of the AdS/CFT correspondence. The model studied here involves the maximally extended AdS-Schwarschild…

High Energy Physics - Theory · Physics 2013-05-30 M. Botta Cantcheff , Alexandre L. Gadelha , Dafni F. Z. Marchioro , Daniel Luiz Nedel

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 2017-08-23 Stanley J. Brodsky , Guy F. de Teramond

Using the fact that flat space with a boundary is related by a Weyl transformation to anti-de Sitter (AdS) space, one may study observables in boundary conformal field theory (BCFT) by placing a CFT in AdS. In addition to correlation…

High Energy Physics - Theory · Physics 2025-11-20 Simone Giombi , Himanshu Khanchandani
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