Derived TFT and supersymmetric field theory (A03)

• Subject Area: Mathematics
• Term: since 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 506632645

We will investigate the relations between three-dimensional topological field theories and two-dimensional conformal field theories when the representation categories are not semisimple, with a particular focus on the resulting derived structures. This can be used to study relations between N=4, d=3 supersymmetric QFT and vertex algebras recently discovered in theoretical physics. We will investigate how derived structures of vertex algebra representation categories encode the geometry of the moduli spaces of vacua of the SUSY QFTs in this context.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1624: Higher structures, moduli spaces and integrability
• Applicant Institution: Universität Hamburg
• Project Heads: Dr. Sven Möller; Professor Dr. Ingo Runkel; Professor Dr. Christoph Schweigert; Professor Dr. Jörg Teschner