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Related papers: Logarithmic Operators in AdS_3/CFT_2

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Recently, exact agreement has been found between bulk and boundary three-point functions in AdS_3 x S^3 x T^4 with NSNS fluxes. This represents a non-trivial check of AdS/CFT correspondence beyond the supergravity approximation as it…

High Energy Physics - Theory · Physics 2011-06-02 Gaston Giribet , Lorena Nicolás

We investigate the behaviour of the mutual information $\mathcal{I}_{AB}$ between two "small" and wide separated spherical regions $A$ and $B$ in the $\mathcal{N}=4$ SYM gauge theory dual to Type IIB string theory in $AdS_5 \times S^5$. To…

High Energy Physics - Theory · Physics 2014-11-06 Javier Molina-Vilaplana

We establish a construction of the bulk local operators in AdS by considering CFT at finite energy scale. Without assuming any prior knowledge about the bulk, the normalizable solution to the bulk free field equation automatically appears…

High Energy Physics - Theory · Physics 2017-09-26 Zhao-Long Wang , Yi Yan

The two-point Green function of a local operator in CFT corresponding to a massive symmetric tensor field on the AdS background is computed in the framework of the AdS/CFT correspondence. The obtained two-point function is shown to coincide…

High Energy Physics - Theory · Physics 2009-10-31 Aleksey Polishchuk

The AdS/CFT duality maps supersymmetric heavy operators with conformal dimension of the order of the central charge to asymptotically AdS supergravity solutions. We show that by studying the quadratic fluctuations around such backgrounds it…

High Energy Physics - Theory · Physics 2017-10-25 Andrea Galliani , Stefano Giusto , Rodolfo Russo

Recently there has been progress on the calculation of three-point functions with two "heavy" operators via semiclassical methods. We extend this analysis to the case of the Lunin-Maldacena background, and examine the suggested procedure…

High Energy Physics - Theory · Physics 2013-05-29 D. Arnaudov , R. C. Rashkov

The special properties of scalars having a mass such that the two possible dimensions of the dual scalar respect the unitarity and the Breitenlohner-Freedman bounds and their ratio is integral (``resonant scalars'') are studied in the…

High Energy Physics - Theory · Physics 2009-11-11 M. Banados , A. Schwimmer , S. Theisen

We compute four-point functions in the Heavy-Heavy-Light-Light limit involving all possible $\frac{1}{8}$-BPS heavy states whose dual supergravity solutions are explicitly known, avoiding the use of Witten diagrams. This is achieved by…

High Energy Physics - Theory · Physics 2019-06-24 Alessandro Bombini , Andrea Galliani

We study correlation functions of scalar operators on the boundary of the $AdS_3$ space deformed by moving massive particles in the context of the AdS/CFT duality. To calculate two-point correlation functions we use the geodesic…

High Energy Physics - Theory · Physics 2016-12-15 D. S. Ageev , I. Ya. Aref'eva , M. D. Tikhanovskaya

A consistent QM/NCG duality is put forward as a model for the AdS^2/CFT_1 correspondence. This is a duality/correspondence between 1) the dAFF conformal quantum mechanics (QM) on the boundary (which is only "quasi-conformal" in the sense…

High Energy Physics - Theory · Physics 2022-06-22 Badis Ydri

We consider the unoriented two-dimensional Abelian sandpile model on the half-plane with open and closed boundary conditions, and relate it to the boundary logarithmic conformal field theory with central charge c=-2. Building on previous…

High Energy Physics - Theory · Physics 2011-02-16 Geoffroy Piroux , Philippe Ruelle

We compute all 3-point functions of the ``universal'' scalar operators contained in the interacting, maximally supersymmetric CFTs at large N by using the AdS/CFT correspondence. These SCFTs are related to the low energy description of M5,…

High Energy Physics - Theory · Physics 2009-10-31 Fiorenzo Bastianelli , Roberto Zucchini

We consider a version of the $AdS_{d+1}/CFT_{d}$ correspondence, in which the bulk space is taken to be the quotient manifold $AdS_{d+1} /\Gamma$ with a fairly generic discrete group $\Gamma$ acting isometrically on $AdS_{d+1}$. We address…

High Energy Physics - Theory · Physics 2009-10-31 Yi-hong Gao

We study the one-loop anomalous dimensions of operators in the ${\cal N}=4$ super Yang-Mills theory that are dual to open strings ending on giant gravitons. We consider both AdS and sphere giants as well as boundstates of them. The open…

High Energy Physics - Theory · Physics 2009-01-30 Robert de Mello Koch , Jelena Smolic , Milena Smolic

Extending the results of \cite{Heem}, \cite{KLRS} on the holographic representation of local gauge field operators in anti de Sitter space, here we construct the bulk operators for higher spin gauge fields in the leading order of…

High Energy Physics - Theory · Physics 2015-04-29 Debajyoti Sarkar , Xiao Xiao

We derive the four-point correlators of scalar operators of dimension one in the supergravity limit of the D1D5 CFT holographically dual to string theory on AdS$_3\times S^3\times \mathcal{M}$, with $\mathcal{M}$ either $T^4$ or $K3$. We…

High Energy Physics - Theory · Physics 2019-05-01 Stefano Giusto , Rodolfo Russo , Congkao Wen

As a toy model to search for Hamiltonian formalism of the $AdS/CFT$ correspondence, we examine a Hamiltonian formulation of the $AdS_2/CFT_1$ correspondence emphasizing unitary representation theory of the symmetry. In the course of a…

High Energy Physics - Theory · Physics 2009-10-31 Toshio Nakatsu , Naoto Yokoi

In this paper, we study the logarithmic terms in the partition functions of CFTs with boundaries (BCFTs). In three dimensions, their coefficients give the boundary central charges, which are conjectured to be monotonically decreasing…

High Energy Physics - Theory · Physics 2015-06-05 Masahiro Nozaki , Tadashi Takayanagi , Tomonori Ugajin

We describe an approach to logarithmic conformal field theories as limits of sequences of ordinary conformal field theories with varying central charge c. Logarithmic behaviour arises from degeneracies in the spectrum of scaling dimensions…

Statistical Mechanics · Physics 2013-11-25 John Cardy

We introduce the AdS/CFT correspondence as a natural extension of QFT in a fixed AdS background. We start by reviewing some general concepts of CFT, including the embedding space formalism. We then consider QFT in a fixed AdS background and…

High Energy Physics - Theory · Physics 2016-12-21 Joao Penedones