Deformed ABJM theory as an integrable lattice model

by Moritz Kade

Thursday 26 Feb 2026, 14:30 → 15:30 Europe/Rome

1/3-1 - Sala R (Dipartimento di Fisica e Astronomia - Edificio Marzolo)

Starting from weights that satisfy integrability conditions, I will review the construction of lattice models that are integrable and possess an infinite number of conserved quantities. I will highlight the connection to prominent examples such as the Ising model and the chiral Potts model. Based on the lattice-model formulation, I will then consider a continuous-spin generalization, which allows for the identification of partition functions with Feynman diagrams of integrable quantum field theories. These models are generically referred to as fishnet theories, and I will showcase the calculation of some exact correlation functions found in the literature. I will generalize this correspondence to Feynman supergraphs generated by superconformal deformations of ABJM theory and N=4 super Yang–Mills theory. The lattice-model picture can be used to determine anomalous scaling dimensions at all loop orders in these so-called superfishnet theories. Finally, I will comment on the application of similar integrability techniques in BFSS quantum mechanics.