After recalling the categorical axioms of local quantum field theory à la Reshetikhin, and verifying that quantum mechanics constitutes an instance of it, we will introduce its subsector consisting of models whose time-dependence admits a complexification to a complex curve. Under genericity assumptions, we will show how the moduli description of Boalch, and a twist of the Biswas-Hurtubise canonical kernel, provide the sought restricted categorical formulation. We will conclude by mentioning the new perspective this offers on quantum dynamics.
De Maciej Bocheński
De Neza Zager Korenjak
