Generalized Fishnets and Exact Four-Point Correlators in Chiral CFT${}_4$

Abstract

We study the Feynman graph structure and compute certain exact four-point correlation functions in chiral CFT${}_4$ proposed by Ö.Gürdoğan and one of the authors as a double scaling limit of $\gamma$-deformed $\mathcal{N}=4$ SYM theory. We give full description of bulk behavior of large Feynman graphs: it shows a generalized "dynamical fishnet" structure, with a dynamical exchange of bosonic and Yukawa couplings. We compute certain four-point correlators in the full chiral CFT${}_4$, generalizing recent results for a particular one-coupling version of this theory -- the bi-scalar "fishnet" CFT. We sum up exactly the corresponding Feynman diagrams, including both bosonic and fermionic loops, by Bethe-Salpeter method. This provides explicit OPE data for various twist-2 operators with spin, showing a rich analytic structure, both in coordinate and coupling spaces.

arXiv comment71 pages, 16 figures, 4 tables. As accepted for publication by JHEP

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Cited by in corpus (30)

• Yangian Bootstrap for Conformal Feynman Integrals
• Exactly solvable magnet of conformal spins in four dimensions
• The Holographic Fishchain
• Higher-Point Conformal Blocks in the Comb Channel
• Thermodynamic Bethe Ansatz for Fishnet CFT
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• Hypergeometry from $\hat{\mathrm{P}}$-Symmetry: Feynman Integrals in One and Two Dimensions