Speaker
Description
While Feynman diagrams that give rise to elliptic curves and higher-dimensional Calabi-Yau manifolds have received a great deal of attention in recent years, much less attention has been paid to examples that involve hyperelliptic curves. In this talk, I will revisit some of the simplest Feynman diagrams that are known to be hyperelliptic, and show that the curves these diagrams give rise to satisfy a hidden involution symmetry that allow them to be mapped to curves of lower genus. This represents a significant simplification in the types of functions that these diagrams are expected to evaluate to. I will then go on to motivate the importance of studying hyperelliptic Feynman diagrams by constructing an all-loop class of vacuum diagrams that give rise to hyperelliptic curves of every genus.
