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We explore the OPE of certain twist operators in symmetric product ($S_N$) orbifold CFTs, extending our previous work arXiv:1804.01562 to the case of $\mathcal{N}=(4,4)$ supersymmetry. We consider a class of twist operators related to the…

High Energy Physics - Theory · Physics 2019-09-04 Thomas de Beer , Benjamin A. Burrington , Ian T. Jardine , A. W. Peet

We show that logarithmic conformal field theories may be derived using nilpotent scale transformation. Using such nilpotent weights we derive properties of LCFT's, such as two and three point correlation functions solely from symmetry…

High Energy Physics - Theory · Physics 2009-11-07 S. Moghimi-Araghi , S. Rouhani , M. Saadat

We apply the average null energy condition to obtain upper bounds on the three-point function coefficients of stress tensors and a scalar operator, $\langle TT {\cal O } \rangle,$ in general CFTs. We also constrain the gravitational anomaly…

High Energy Physics - Theory · Physics 2017-12-06 Clay Cordova , Juan Maldacena , Gustavo J. Turiaci

We study the behaviour of the conformal block expansions of scalar fivepoint Lorentzian conformal correlators in the limit where multiple cross ratios approach zero. Since this limit is controlled by intermediate operators with large spin,…

High Energy Physics - Theory · Physics 2026-02-03 Pulkit Agarwal

We find explicit SLE(8) partition functions for the scaling limits of Peano curves in the uniform spanning tree (UST) in topological polygons with general boundary conditions. They are given in terms of Coulomb gas integral formulas, which…

Probability · Mathematics 2025-06-24 Mingchang Liu , Eveliina Peltola , Hao Wu

We consider Deep Inelastic Scattering (DIS) thought experiments in unitary Conformal Field Theories (CFTs). We explore the implications of the standard dispersion relations for the OPE data. We derive positivity constraints on the OPE…

High Energy Physics - Theory · Physics 2017-03-22 Zohar Komargodski , Manuela Kulaxizi , Andrei Parnachev , Alexander Zhiboedov

We investigate the heavy-light four-point function up to double-stress-tensor, supplementing 1910.06357. By using the OPE coefficients of lowest-twist double-stress-tensor in the literature, we find the Regge behavior for lowest-twist…

High Energy Physics - Theory · Physics 2022-06-15 Yue-Zhou Li , Hao-Yu Zhang

Representations of the (Lorentz) conformal group with the soft operators as highest weight vectors have two universal properties, which we clearly state in this paper. Given a soft operator with a certain dimension and spin, the first…

High Energy Physics - Theory · Physics 2020-03-18 Shamik Banerjee , Pranjal Pandey

Near lightcone correlators are dominated by operators with the lowest twist. We consider the contributions of such leading lowest twist multi-stress tensor operators to a heavy-heavy-light-light correlator in a CFT of any even…

High Energy Physics - Theory · Physics 2020-01-29 Robin Karlsson , Manuela Kulaxizi , Andrei Parnachev , Petar Tadić

In this work, we uncover a collection of non invertible topological operators linked to the 0-, 2-, 4- and 6-form symmetries related to the type IIB superstring effective theory. By pinpointing the $\text{SL}(2,\mathbb{Z})$-covariant…

High Energy Physics - Theory · Physics 2024-09-05 Jose J. Fernandez-Melgarejo , Giacomo Giorgi , Diego Marques , J. A. Rosabal

The number of local operators in a CFT below a given twist grows with spin. Consistency with analyticity in spin then requires that at low spin, infinitely many Regge trajectories must decouple from local correlation functions, implying…

High Energy Physics - Theory · Physics 2024-05-15 Johan Henriksson , Petr Kravchuk , Brett Oertel

We set up the computation of correlation functions for operators that are dual to semiclassical string states in strongly coupled defect conformal field theories (dCFTs). In the dCFT that is dual to the D3-D5 probe-brane system, we…

High Energy Physics - Theory · Physics 2023-08-29 George Georgiou , Georgios Linardopoulos , Dimitrios Zoakos

The aim of this paper is to study three dimensional Lorentzian conformal field theories in twistor space. We formulate the conformal Ward identities and solve for two and three point Lorentzian Wightman functions. We found that the Helicity…

High Energy Physics - Theory · Physics 2025-02-27 Aswini Bala , Sachin Jain , Dhruva K. S. , Deep Mazumdar , Vibhor Singh

We review some aspects of logarithmic conformal field theories which might shed some light on the geometrical meaning of logarithmic operators. We consider an approach, put forward by V. Knizhnik, where computation of correlation functions…

High Energy Physics - Theory · Physics 2016-11-23 Michael A. I. Flohr

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 discuss the QCD effects of the higher-twist operators in the nucleon spin-dependent structure functions measured by the polarized deep inelastic leptoproduction. We particularly study the renormalization of the twist-3 and twist-4…

High Energy Physics - Phenomenology · Physics 2016-09-01 Tsuneo Uematsu

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

In this paper we derive both the leading order finite size corrections for twist-2 and twist-3 operators and the next-to-leading order finite-size correction for twist-2 operators in beta-deformed SYM theory. The obtained results respect…

High Energy Physics - Theory · Physics 2015-05-20 Marius de Leeuw , Tomasz Lukowski

In a previous article, we define "connectivity weights" to be functions with these two properties: 1) They solve the three conformal Ward identities of conformal field theory (CFT) and a system of $2N$ null-state differential equations…

Mathematical Physics · Physics 2021-12-28 Steven M. Flores , Jacob J. H. Simmons , Peter Kleban

We study correlation functions with multiple averaged null energy (ANEC) operators in conformal field theories. For large $N$ CFTs with a large gap to higher spin operators, we show that the OPE between a local operator and the ANEC can be…

High Energy Physics - Theory · Physics 2019-09-16 Alexandre Belin , Diego M. Hofman , Gregoire Mathys