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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 investigate six types of two-point boundary correlation functions in the dense loop model. These are defined as ratios $Z/Z^0$ of partition functions on the $m\times n$ square lattice, with the boundary condition for $Z$ depending on two…

Statistical Mechanics · Physics 2018-12-27 Alexi Morin-Duchesne , Jesper Lykke Jacobsen

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 study single spin asymmetries at one-loop accuracy in semi-inclusive DIS with a transversely polarized hadron in the initial state. Two measurable spin observables are predicted in the framework of QCD collinear factorization. One of the…

High Energy Physics - Phenomenology · Physics 2018-04-17 A. P. Chen , J. P. Ma , G. P. Zhang

In this paper we initiate the study of correlation functions of a single trace operator and a circular supersymmetric Wilson loop in ABJM theory. The single trace operator is in the scalar sector and is an eigenstate of the planar two-loop…

High Energy Physics - Theory · Physics 2023-11-10 Yunfeng Jiang , Jun-Bao Wu , Peihe Yang

The strange correlator [Phys. Rev. Lett. 112, 247202 (2014)] has been proposed as a measure of symmetry protected topological order in one- and two-dimensional systems. It takes the form of a spin-spin correlation function, computed as a…

Strongly Correlated Electrons · Physics 2016-07-04 Keola Wierschem , K. S. D. Beach

We consider twist $J$ operators with spin $S$ in the $sl(2)$ sector of $\mathcal N=4$ SYM. The small spin expansion of their anomalous dimension defines the so-called slope functions. Much is known about the linear term, but the study of…

High Energy Physics - Theory · Physics 2015-06-19 Matteo Beccaria , Guido Macorini

We consider correlation functions in symmetric product orbifold CFTs on the sphere, focusing on the case where all operators are single-cycle twists, and the covering surface is also a sphere. We directly construct the general class of…

High Energy Physics - Theory · Physics 2025-07-18 Benjamin A. Burrington , Ida G. Zadeh

We show how conformal partial waves (or conformal blocks) of spinor/tensor correlators can be related to each other by means of differential operators in four dimensional conformal field theories. We explicitly construct such differential…

High Energy Physics - Theory · Physics 2016-01-26 Alejandro Castedo Echeverri , Emtinan Elkhidir , Denis Karateev , Marco Serone

Using twisted Fock spaces, we formulate and study two twisted versions of the n-point correlation functions of Bloch-Okounkov, and then identify them with q-expectation values of certain functions on the set of (odd) strict partitions. We…

Quantum Algebra · Mathematics 2007-05-23 Weiqiang Wang

We derive one-point functions of the loop operators of Hermitian matrix-chain models at finite $N$ in terms of differential operators acting on the partition functions. The differential operators are completely determined by recursion…

High Energy Physics - Theory · Physics 2009-10-22 Changrim Ahn , Kazuyasu Shigemoto

I consider three-point functions of one protected and two unprotected twist-two operators with spin in N=4 SYM at weak coupling. At one loop I formulate an empiric conjecture for the dependence of the corresponding structure constants on…

High Energy Physics - Theory · Physics 2019-05-01 Marco S. Bianchi

We derive the basic correlation functions of twist fields coming from arbitrary twisted sectors in symmetric $Z_N$ orbifold conformal field theories, keeping all the admissible marginal perturbations, in particular those corresponding to…

High Energy Physics - Theory · Physics 2009-10-22 J. Erler , D. Jungnickel , M. Spalinski , S. Stieberger

In this note we continue analysing the non-equilibrium dynamics in the $(T^2)^n/\mathbb{Z}_n$ orbifold conformal field theory. We compute the out-of-time-ordered four-point correlators with twist operators. For rational $\eta \ (=p/q)$…

High Energy Physics - Theory · Physics 2017-09-06 Pawel Caputa , Yuya Kusuki , Tadashi Takayanagi , Kento Watanabe

We study the OPE of correlation functions of local operators in planar N=4 super Yang-Mills theory. The considered operators have an explicit spacetime dependence that is defined by twisting the translation generators with certain…

High Energy Physics - Theory · Physics 2018-01-18 Till Bargheer

We consider higher-point generalizations of the "octagon" large-charge four-point function in planar N=4 super Yang-Mills theory. These n-point polygon correlators are defined as ten-dimensional null limits of generating functions of…

High Energy Physics - Theory · Physics 2026-01-23 Till Bargheer , Albert Bekov , Carlos Bercini , Frank Coronado

We elaborate on various aspects of the conformal field theory of the symmetric orbifold. We collect various results that have appeared in the literature, and we present a coherent picture of the operator content of this CFT, relying on the…

High Energy Physics - Theory · Physics 2018-08-01 Konstantinos Roumpedakis

We calculate partition function and correlation functions in A-twisted 2d $\mathcal{N}=(2,2)$ theories and topologically twisted 3d $\mathcal{N}=2$ theories containing adjoint chiral multiplet with particular choices of $R$-charges and the…

High Energy Physics - Theory · Physics 2019-01-30 Hee-Joong Chung , Yutaka Yoshida

We develop a diagrammatic language for symmetric product orbifolds of two-dimensional conformal field theories. Correlation functions of twist operators are written as sums of diagrams: each diagram corresponds to a branched covering map…

High Energy Physics - Theory · Physics 2010-03-23 Ari Pakman , Leonardo Rastelli , Shlomo S. Razamat

We demonstrate how correlation functions for non-diagonal operators can be measured with the loop-cluster algorithm for quantum spin models. We introduce the U(1) quantum link model and present the construction of a cluster algorithm for…

High Energy Physics - Lattice · Physics 2009-10-31 A. Tsapalis