Speaker
Victor Mishnyakov
(Nordita)
Description
We demonstrate that Yangian symmetry property of fishnet Feynman integrals can be extended to the so-called Loom graphs. Further, we describe the general structure of the corresponding differential operators. In particular we show, that they are conjecturaly equivalent to the so-called Gelfand-Kapranov-Zelevisnky systems, which have already appeared in the context of Feynman integrals, but also in the study of mirror symmetry in string theory. Moreover, it appears that the equations themselves impose certain consistency conditions, which constrain the types of graph topologies that could support Yangian symmetry.
