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.

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

References in corpus (3)

• Hexagonalization of Correlation Functions
• Large N Field Theory and AdS Tachyons
• Massless two-loop self-energy diagram: Historical review

Cited by in corpus (2)

• Combinatorial Solution of the Eclectic Spin Chain
• Fishnet four-point integrals: integrable representations and thermodynamic limits