Séminaire Physique mathématique ICJ

2-monoidal categories in quantum field theory

by Estanislao Herscovich (Grenoble)

Fokko du Cloux (Bâtiment Braconnier)

Fokko du Cloux (Bâtiment Braconnier)


The aim of this talk is to present a more unified approach to some algebraic structures appearing in the formulation of quantum field theory (QFT) by R. Borcherds, which are naturally described using 2-monoidal categories of functors, in a very similar language to that of vertex algebras also proposed by Borcherds. Furthermore, we also introduce some partial algebraic structures which naturally appear when dealing spaces of distributions and that seem to be pervasive in QFT.