Generalized Fishnets and Exact Four-Point Correlators in Chiral CFT_4

by Michelangelo Preti (Nordita)

Monday 4 Mar 2019, 13:15 → 14:00 Europe/Stockholm

132:028 (Nordita East)

We study the Feynman graph structure and compute certain exact four-point correlation functions in the chiral CFT_4 obtained as a double scaling limit of γ-deformed 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 CFT4, 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.