Feb 13 – 16, 2023
Emmy Noether Campus
Europe/Berlin timezone

2D fishnet integrals and Calabi-Yau geometries

Feb 13, 2023, 3:00 PM
1h
Emmy Noether Campus

Emmy Noether Campus

ENC-D 114 University of Siegen Walter-Flex-Str. 3 57072 Siegen Germany

Speaker

Claude Duhr

Description

We argue that Yangian-invariant l-loop fishnet integrals in 2 dimensions are closely related to a family of Calabi-Yau l-folds.
This allows us to reduce the computation of these integrals to the computation of the Calabi-Yau periods. The periods are solutions of the Picard-Fuchs differential equations, which in turn are determined by the Yangian symmetry. Finally, we show that the values of these fishnet integrals admit a natural interpretation as the quantum volume of the Calabi-Yau.

Presentation materials