Chiral limit of N = 4 SYM and ABJM and integrable Feynman graphs

Understand

We consider a special double scaling limit, recently introduced by two of the authors, combining weak coupling and large imaginary twist, for the $\gamma$-twisted $\mathcal{N}=4$ SYM theory.

• We also establish the analogous limit for ABJM theory.
• The resulting non-gauge chiral 4D and 3D theories of interacting scalars and fermions are integrable in the planar limit.
• In spite of the breakdown of conformality by double-trace interactions, most of the correlators for local operators of these theories are conformal, with non-trivial anomalous dimensions defined by specific, integrable Feynman diagrams.