RIND seminar on Mathematical Physics and String Theory

Oct. 24, 2022 at 4 p.m. c.t. in Munich and via ZoomIlka Brunner (LMU München)

Nils Carqueville (Universität Wien)

Hans Jockers (JGU Mainz)

Peter Mayr (LMU München)

Simone Noja (Universität Heidelberg)

Ivo Sachs (LMU München)

Johannes Walcher (Universität Heidelberg)

Joint seminar series on Mathematical Physics and String Theory

Albrecht Klemm (Bonn U.)

Recently it has been realized that the parameter dependence of

Feynman integrals in dimensional regularisation can be calculated

explicitly using period-- and chain integrals of suitably chosen

Calabi-Yau motives, where the transcendentality weight of

the motive is proportional to the dimension of the Calabi Yau

geometry and the loop order of the Feynman graphs. We exemplify

this for the Banana graphs, the Ice Cone graphs and the Train Track graphs

in two dimensions. In the latter case there is a calculational very useful

relation between the differential realisation of the

Yangian symmetries and the Picard-Fuchs system of compact

Calabi-Yau spaces M as well as between the physical correlations

functions and the quantum volume of the manifolds W that are the

mirrors to M.