Quantized Chern-Simons observables as discrete integrable systems
(A04)
Subject Area
Nuclear and Elementary Particle Physics, Quantum Mechanics, Relativity, Fields
Term
since 2024
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 506632645
The goal of this project is to develop techniques for tackling the serious difficulties caused in the quantisation of moduli spaces of flat connections on Riemann surfaces associated to compact and non-compact gauge supergroups. The quantisation of such moduli spaces is expected to define new quantum integrable multi-particle models. We want to use Chern-Simons observables as spectrum generating algebras, and as a link between topological field theories and integrable systems.
DFG Programme
Collaborative Research Centres
