| Speaker: | Sylvain Lacroix (ETH Zurich) |
|---|---|
| Title: | Integrable sigma-models at RG fixed points: quantisation as affine Gaudin models |
| Date (JST): | Tue, May 16, 2023, 16:00 - 17:30 |
| Place: | hybrid |
| Abstract: | In this seminar, I will present first steps towards the quantisation of integrable sigma-models using the formalism of affine Gaudin models, approaching these theories through their conformal limits. The talk will mostly focus on a specific example called the Klimcik (or bi-Yang-Baxter) model. After recalling the relation between this theory and affine Gaudin models at the classical level, I will explain how its integrable structure splits into two decoupled chiral parts in the conformal limit, built respectively from left-moving and right-moving degrees of freedom. Finally, I will sketch how the quantisation of these chiral integrable structures can be studied using the language of affine Gaudin models and vertex operator algebras. Throughout the talk, I will also briefly discuss the relations between this formalism and that of 4d Chern-Simons theory. This is based on joint work with G. Kotousov and J. Teschner. |
| Remarks: | Speaker on Zoom + Seminar room A |
