June 26, 2023 to July 21, 2023
Albano Building 3
Europe/Stockholm timezone

Revisiting Hyperelliptic Feynman Integrals

Jul 13, 2023, 10:30 AM
Albano 3: 4204 - SU Conference Room (56 seats) (Albano Building 3)

Albano 3: 4204 - SU Conference Room (56 seats)

Albano Building 3

Hannes Alfvéns väg 12, 10691 Stockholm, Sweden


Andrew McLeod


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.

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