Victor Mishnyakov (MIPT & NRC "Kurchatov Institute") - Antipodal self-duality from matrix models and symmetric functions

by Dr Victor Mishnyakov (Moscow Institute of Physics and Technology)

Wednesday 23 Sept 2026, 15:00 → 17:00 Europe/Stockholm

92110

Certain amplitudes of $N = 4$ SYM theory were found to be either dual to each other or self-dual under the antipode map of the Hopf algebra of multiple polylogarithms. Recently this property was extened to the Basso-Dixon amplitude of the fishnet theory. In particular the square fishnet amplitude was shown to be antipodally self-dual. Motivated by this example we consider generalizations of fishnet amplitudes -- certain determinants of ladder integrals labelled by partitions. It turns out that such determinant have a matrix model representation inspired by integrability. Using this representation and various symmetric function properties, we find many more antipodally self-dual quantities.