Humboldt-Universität zu Berlin - Mathematisch-Naturwissen­schaft­liche Fakultät - Institut für Physik

Title:
Hidden Symmetries: From Spin Chains to Feynman Graphs and Back

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Abstract:
Throughout the history of physics it has been a successful approach to attack problems starting from symmetric setups. In particular, integrable models play a distinguished role in furnishing such starting points, with the Kepler problem being a prime example. In this talk I discuss the hidden symmetries which underly physical problems of a priori very different nature. In particular, I illustrate how the discovery of integrability within the celebrated AdS/CFT correspondence leads to new insights on the symmetries of large families of Feynman integrals. Finally, I comment on novel spin chain and field theory models in 1+1 dimensions, which are controlled via similar mathematical structures.