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We show how to construct embedding space three-point functions for operators in arbitrary Lorentz representations by employing the formalism developed in arXiv:1905.00036 and arXiv:1905.00434. We study tensor structures that intertwine the…

High Energy Physics - Theory · Physics 2019-07-22 Jean-François Fortin , Valentina Prilepina , Witold Skiba

We consider structure constants of single-trace operators at strong coupling in planar $\mathcal{N}=4$ SYM theory using the hexagon formalism. We concentrate on heavy-heavy-light correlators where the heavy operators are BMN operators, with…

High Energy Physics - Theory · Physics 2020-05-20 Benjamin Basso , De-liang Zhong

Using superspace techniques, we compute the mixed OPE between an ${\mathcal N}=2$ stress-tensor multiplet, a chiral multiplet and a flavor current multiplet. We perform a detailed analysis of the three-point function between two of the…

High Energy Physics - Theory · Physics 2016-05-16 Israel A. Ramírez

We consider R and NS spectral flow sectors of type IIB superstring theory on AdS(3)xS(3)xT(4) in the context of the AdS(3)/CFT(2) correspondence. We present a derivation of the vertex operators creating spectral flow images of chiral…

High Energy Physics - Theory · Physics 2015-05-13 Carlos A. Cardona , Carmen A. Núñez

We explore how to compute, classically at strong coupling, correlation functions of local operators corresponding to classical spinning string states. The picture we obtain is of `fattened' Witten diagrams, the evaluation of which turns out…

High Energy Physics - Theory · Physics 2014-11-20 Romuald A. Janik , Piotr Surowka , Andrzej Wereszczynski

We study two kinematical limits, the Regge limit and the Lorentzian OPE limit, of the four-point function of the stress-tensor multiplet in Super Yang-Mills at weak coupling. We explain how both kinematical limits are controlled by the…

High Energy Physics - Theory · Physics 2015-06-17 Miguel S. Costa , James Drummond , Vasco Goncalves , Joao Penedones

We present a systematic method to expand in components four dimensional superconformal multiplets. The results cover all possible $\mathcal{N} = 1$ multiplets and some cases of interest for $\mathcal{N} = 2$. As an application of the…

High Energy Physics - Theory · Physics 2020-08-03 Andrea Manenti

We analytically solve the conformal bootstrap equations in the Regge limit for large N conformal field theories. For theories with a parametrically large gap, the amplitude is dominated by spin-2 exchanges and we show how the crossing…

High Energy Physics - Theory · Physics 2018-01-17 Daliang Li , David Meltzer , David Poland

We investigate the structure of conformal Regge trajectories for the maximally supersymmetric (2,0) theories in six dimensions. The different conformal multiplets in a single superconformal multiplet must all have similarly-shaped Regge…

High Energy Physics - Theory · Physics 2022-01-26 Madalena Lemos , Balt C. van Rees , Xiang Zhao

We construct conformal three-point functions in momentum space with a general tensor and conserved currents of spin $1$ and $2$. While conformal correlators in momentum space have been studied especially in the connection with cosmology,…

High Energy Physics - Theory · Physics 2019-07-17 Hiroshi Isono , Toshifumi Noumi , Toshiaki Takeuchi

In this short note we use the flat space limit and the relation between the 4-pt correlation function of the bottom and top components of the stress tensor multiplet to constraint its stringy corrections at strong coupling in the planar…

High Energy Physics - Theory · Physics 2015-04-30 Vasco Gonçalves

One of the most important problems in any conformal field theory is the calculation of three-point functions of primary operators. In this paper we provide explicit examples of correlators with two scalar operators in $\,{\cal N}=4$…

High Energy Physics - Theory · Physics 2015-12-09 D. Arnaudov , R. C. Rashkov

We calculate 3-point correlation functions of Delta-BMN operators with 3 scalar impurites in N=4 supersymmetric gauge theory. We use these results to test the pp-wave/SYM duality correspondence of the vertex--correlator type. This…

High Energy Physics - Theory · Physics 2009-11-10 George Georgiou , Valentin V. Khoze

In this note we construct vertex operators in effective string theory using the simplified covariant formalism, i.e. by embedding it in the Polyakov formalism supplemented by an anomaly term, and fixing to conformal gauge. These vertex…

High Energy Physics - Theory · Physics 2017-01-24 Simeon Hellerman , Shunsuke Maeda

The Operator Product Expansion is a useful tool to represent correlation functions. In this note we extend Conformal Regge theory to provide an exact OPE representation of Lorenzian four-point correlators in conformal field theory, valid…

High Energy Physics - Theory · Physics 2021-05-26 Simon Caron-Huot , Joshua Sandor

Three-point correlation function in perturbed conformal field theory coupled to two-dimensional quantum gravity (perturbed Liouville gravity) is explicitly computed by using the free field approach. The representation considered here is the…

High Energy Physics - Theory · Physics 2008-11-26 Gaston Giribet

In this note we present a simple method of constructing general conformally invariant three point functions of operators of various spins in three dimensions. Upon further imposing current conservation conditions, we find new parity…

High Energy Physics - Theory · Physics 2013-07-05 Simone Giombi , Shiroman Prakash , Xi Yin

We study the kinematics of correlation functions of local and extended operators in a conformal field theory. We present a new method for constructing the tensor structures associated to primary operators in an arbitrary bosonic…

High Energy Physics - Theory · Physics 2019-09-04 Edoardo Lauria , Marco Meineri , Emilio Trevisani

We compute exactly various 4-point correlation functions of shortest scalar operators in bi-scalar planar four-dimensional "fishnet" CFT. We apply the OPE to extract from these functions the exact expressions for the scaling dimensions and…

High Energy Physics - Theory · Physics 2019-10-02 Nikolay Gromov , Vladimir Kazakov , Gregory Korchemsky

We consider $\mathcal{N=1}$ superconformal field theories in three-dimensions possessing a conserved current multiplet $\mathcal{F}_{ (\alpha_{1} \alpha_{2} \alpha_{3} \alpha_{4}) }$ which we refer to as the superspin-2 current multiplet.…

High Energy Physics - Theory · Physics 2021-11-16 Evgeny I. Buchbinder , Benjamin J. Stone