Probabilistic construction of the Wess-Zumino-Witten SL_2(C)/SU(2) model.
Event details
| Date | 10.04.2025 |
| Hour | 16:00 › 17:00 |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
The WZW model with target space the hyperbolic 3 space H^3=SL_2(C)/SU(2) is a conformal field theory
with central charge c>3 that has been studied in physics by Gawedski, Kupiainen, Teschner, Schomerus, Ribault … In particular, it has been shown in physics that there is an intriguing correspondence with Liouville CFT. It can be thought of as a quantization of the SL_2(C) unitary connections on a rank 2 holomorphic vector bundle on a surface, the critical point being the flat connections.
I will explain how to define rigorously the path integral and correlation functions using probability, and how to
prove the correspondence with Liouville.
Probabilistically it essentially corresponds to the non-linear sigma model with target space the hyperbolic 3 space H^3. This is joint work with Kupiainen and Rhodes.
Practical information
- Expert
- Free
Contact
- Juhan Aru