Albrecht Klemm - Regular Tilings and Calabi-Yau motives - 15.06.2023

Hodge theory, Mirror Symmetry, and Physics of Calabi-Yau Moduli
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A MATCH-PIMS-STRUCTURES workshop in Mathematical Physics, held from June 12 to 16, 2023, at the Mathematikon in Heidelberg
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Abstract: We consider a class of Feynman Graphs in a 2d conformal field theory which encapsulates the integrability of N=4 SYM theory.The amplitudes in these theories are related to the quantum volumes of families of Calabi-Yau varieties, which we can associate to all graph configurations on the tiling. Their Gauss-Manin connection expresses the Yangian Symmetry of the physical theories. This work generalizes the approach pioneered in arxiv.org/abs/2209.05291