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Related papers: Matching of correlators in AdS_3/CFT_2

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We present a detailed analysis of the 4-point functions of the lowest weight chiral primary operators $O^{I} \sim \tr \phi^{(i}\phi^{j)}$ in $\N =4$ SYM$_4$ at strong coupling and show that their structure is compatible with the predictions…

High Energy Physics - Theory · Physics 2009-10-31 G. Arutyunov , S. Frolov , A. C. Petkou

The correlation function in Ads/CFT are correlation of the operator insertions on the boundary (at CFT) through the complete geometry of bulk. These are represented by Witten diagrams which at tree level doesn't have any quantum…

High Energy Physics - Theory · Physics 2024-05-20 Aryaman Mishra

We compute two-point functions of chiral operators Tr(\Phi^k) for any k, in {\cal N}=4 supersymmetric SU(N) Yang-Mills theory. We find that up to the order g^4 the perturbative corrections to the correlators vanish for all N. The…

High Energy Physics - Theory · Physics 2009-10-31 S. Penati , A. Santambrogio , D. Zanon

We consider extremal correlation functions, involving arbitrary number of BPS (chiral or twisted chiral) operators and exactly one anti-BPS operator in 2D N=(2,2) theories. These correlators define the structure constants in the rings…

High Energy Physics - Theory · Physics 2018-04-27 Nafiz Ishtiaque

This paper has two parts. We first compute the leading contribution to the strong-coupling mixing between the Konishi operator and a double-trace operator composed of chiral primaries by using flat-space vertex operators for the…

High Energy Physics - Theory · Physics 2016-01-21 Joseph A. Minahan , Raul Pereira

We present a constructive derivation of holographic four-point correlators of arbitrary half-BPS operators for all maximally supersymmetric conformal field theories in $d>2$. This includes holographic correlators in 3d ${\cal N}=8$ ABJM…

High Energy Physics - Theory · Physics 2021-03-24 Luis F. Alday , Xinan Zhou

We propose a class of ${\rm AdS}_3/{\rm CFT}_2$ dualities with $\mathcal{N}=(2,2)$ supersymmetry. These dualities relate string theory on ${\rm AdS}_3 \times ({\rm S}^3\times \mathbb{T}^4)/{\rm G}$ to marginal deformations of the symmetric…

High Energy Physics - Theory · Physics 2019-07-23 Shouvik Datta , Lorenz Eberhardt , Matthias R. Gaberdiel

We discuss in detail the $1+1$-dimensional superconformal field theory dual to type II string theory on $AdS_3\times S^3\times T^4$, emphasizing the string theoretic aspects of this duality. For one unit of NS-NS 5-brane flux ($Q_5=1$),…

High Energy Physics - Theory · Physics 2024-07-08 Ofer Aharony , Erez Y. Urbach

We consider $\alpha'$ corrections to four-point correlators of half-BPS operators in $\mathcal{N}=4$ super Yang-Mills theory in the supergravity limit. By demanding the correct behaviour in the flat space limit, we find that the leading…

High Energy Physics - Theory · Physics 2020-01-28 J. M. Drummond , D. Nandan , H. Paul , K. S. Rigatos

The order g^2 radiative corrections to all 2- and 3-point correlators of the composite primary operators Tr X^k are computed in {\cal N} = 4 supersymmetric Yang-Mills theory with gauge group SU(N). Corrections are found to vanish for all N.…

High Energy Physics - Theory · Physics 2009-10-08 Eric D'Hoker , Daniel Z. Freedman , Witold Skiba

Dual AdS/CFT correlators can be computed in two ways: differentiate the bulk partition function with respect to boundary conditions, or extrapolate bulk correlation functions to the boundary. These dictionaries were conjectured to be…

High Energy Physics - Theory · Physics 2011-04-22 Daniel Harlow , Douglas Stanford

We study the holographic description of string theory in a plane wave spacetime by taking the Penrose limit of the usual AdS/CFT correspondence. We consider three-point functions with two BMN operators and one non-BMN operator; the latter…

High Energy Physics - Theory · Physics 2007-05-23 Nelia Mann , Joseph Polchinski

We analyse the OPE of any two 1/2 BPS operators of (2,0) SCFT$_6$ by constructing all possible three-point functions that they can form with another, in general long operator. Such three-point functions are uniquely determined by…

High Energy Physics - Theory · Physics 2010-02-03 B. Eden , S. Ferrara , E. Sokatchev

We consider operators in N=4 SYM theory which are dual, at strong coupling, to classical strings rotating in S^5. Three point correlation functions of such operators factorize into a universal contribution coming from the AdS part of the…

High Energy Physics - Theory · Physics 2015-05-30 Romuald A. Janik , Andrzej Wereszczynski

We give arguments for a conjecture made in a previous paper, that one has to use only the gauged sugra action for the calculation of correlators of certain operators via the AdS-CFT correspondence. The existence of consistent truncations…

High Energy Physics - Theory · Physics 2007-05-23 Horatiu Nastase , Diana Vaman

We extend recent remarkable progress in the comparison of the dynamical energy spectrum of rotating closed strings in AdS_5xS^5 and the scaling weights of the corresponding non-near-BPS operators in planar N=4 supersymmetric gauge theory.…

High Energy Physics - Theory · Physics 2009-09-29 N. Beisert , S. Frolov , M. Staudacher , A. A. Tseytlin

Correlation functions in perturbative N=4 supersymmetric Yang-Mills theory are examined in the Berenstein-Maldacena-Nastase (BMN) limit. We demonstrate that non-extremal four-point functions of chiral primary fields are ill-defined in that…

High Energy Physics - Theory · Physics 2011-03-23 N. Beisert , C. Kristjansen , J. Plefka , G. W. Semenoff , M. Staudacher

The four point functions of chiral primary BPS operators in ${\cal N}=4$ superconformal Yang Mills are expressed in a form manifestly satisfying the superconformal Ward identities. They are subsequently expanded in terms of conformal…

High Energy Physics - Theory · Physics 2017-06-15 Christopher Rayson

In a previous work we have proposed that the Prokushkin-Vasiliev higher spin N=2 supergravity on AdS_3 is dual to a large N limit of the N=(2,2) CP^N Kazama-Suzuki model. There is now strong evidence supporting this proposal based on…

High Energy Physics - Theory · Physics 2015-06-12 Thomas Creutzig , Yasuaki Hikida , Peter B. Ronne

We have computed superconformal partial wave for the mixed correlators involving $J$, $\phi$ and $\phi^\dagger$, where $J$ is the superconformal primary of 4D ${\mathcal N} = 2$ stress-tensor multiplet, $\phi$ and $\phi^\dagger$ are chiral…

High Energy Physics - Theory · Physics 2024-06-10 Subhadeep Rakshit , Subir Mukhopadhyay