| Speaker: | Benoit Vicedo (The University of York) |
|---|---|
| Title: | Integrable coupled sigma-models |
| Date (JST): | Tue, Mar 12, 2019, 13:15 - 14:30 |
| Place: | Seminar Room A |
| Abstract: |
I will begin by reviewing how classical integrable sigma models can be recast as classical Gaudin models associated with affine Kac-Moody algebras, or affine Gaudin models for short. One usually thinks of the Gaudin model as a spin chain, since it can be obtained from a certain limit of the XXX spin chain. When viewed in this way, integrable sigma models are essentially described by affine Gaudin models with a single site. It is then very natural, in this formalism, to consider affine Gaudin models with arbitrarily many sites. I will then go on to show that such multi-site classical Gaudin models can be used to construct new relativistic classical integrable field theories that couple together an arbitrary number of integrable sigma models. This talk is based on joint work, arXiv:1811.12316 and to appear, with F. Delduc, M. Magro and S. Lacroix. |
| Remarks: | Blackboard talk |
