MS Seminar (Mathematics - String Theory)

Speaker: Benoit Vicedo (The University of York)
Title: Integrable coupled sigma-models
Date: 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