Biscalar Integrable Conformal Field Theories in Any Dimension.
Vladimir Kazakov,Enrico Olivucci +1 more
TLDR
A D-dimensional generalization of 4D biscalar conformal quantum field theory was proposed by Gurdogan and one of the authors as a particular strong-twist limit of γ-deformed N=4 supersymmetric Yang-Mills theory.Abstract:
We propose a D-dimensional generalization of 4D biscalar conformal quantum field theory recently introduced by Gurdogan and one of the authors as a particular strong-twist limit of γ-deformed N=4 supersymmetric Yang-Mills theory Similar to the 4D case, the planar correlators of this D-dimensional theory are conformal and dominated by "fishnet" Feynman graphs The dynamics of these graphs is described by the integrable conformal SO(1,D+1) spin chain In 2D, it is the analogue of Lipatov's SL(2,C) spin chain for the Regge limit of QCD but with the spins s=1/4 instead of s=0 Generalizing recent 4D results of Grabner, Gromov, Korchemsky, and one of the authors to any D, we compute exactly at any coupling a four-point correlation function dominated by the simplest fishnet graphs of cylindric topology and extract from it exact dimensions of operators with chiral charge 2 and any spin together with some of their operator product expansion structure constantsread more
Citations
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d-dimensional SYK, AdS loops, and 6j symbols
TL;DR: In this paper, the authors studied the 6j symbol for the conformal group and its appearance in three seemingly unrelated contexts: the SYK model, conformal representation theory, and perturbative amplitudes in AdS.
Journal ArticleDOI
$d$-dimensional SYK, AdS Loops, and $6j$ Symbols
TL;DR: In this article, the authors studied the appearance of the $6j$ symbol for the conformal group and its appearance in three seemingly unrelated contexts: the SYK model, conformal representation theory, and perturbative amplitudes in AdS.
Journal ArticleDOI
Exact Correlation Functions in Conformal Fishnet Theory
TL;DR: In this paper, the OPE was applied to extract from these functions the exact expressions for the scaling dimensions and the structure constants of all exchanged operators with an arbitrary Lorentz spin.
Journal ArticleDOI
Exactly Solvable Magnet of Conformal Spins in Four Dimensions.
TL;DR: It is conjecture that the proposed eigenfunctions form a complete set and provide a tool for the direct computation of conformal data in the fishnet limit of the supersymmetric N=4 Yang-Mills theory at finite order in the coupling, by means of a cutting-and-gluing procedure on the square lattice.
Journal ArticleDOI
Basso-Dixon correlators in two-dimensional fishnet CFT
TL;DR: In this paper, the authors derived a two-dimensional version of Basso-Dixon type integrals for the planar 4-point correlation functions given by conformal "fishnet" Feynman graphs.
References
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Thomas Banks,A. Zaks +1 more
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