Feynman integrals and Yangian symmetry

• Applicant: Dr. Florian Loebbert
• Subject Area: Nuclear and Elementary Particle Physics, Quantum Mechanics, Relativity, Fields
• Term: since 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 508889767

Integrable structures play a crucial role in all areas of physics. They lead to strong constraints and provide mathematical tools for the computation of physical data like the Bethe ansatz for spin chain models. It is the goal of this project to develop the key concepts of integrability for Feynman integrals and to establish the resulting methods as practical tools. The importance of conformal symmetry in this context will be used to draw connections to the conformal bootstrap and to extend it to the situation with a full Yangian symmetry. Moreover, recently discovered relations between Yangian symmetry and Calabi-Yau geometry will be extended and systematized.

• DFG Programme: Research Units
• Subproject of: FOR 5582: Modern Foundations of Scattering Amplitudes
• Co-Investigators: Professor Albrecht Klemm, Ph.D.; Professor Dr. Jan Plefka