dr David Osten

New classically integrable sigma models based on Z(N)-symmetric homogeneous spaces

Typical two dimensional integrable sigma models are those which have group manifolds or Riemannian symmetric spaces, or in other words homogeneous spaces with a Z(2)-grading, as target spaces. This construction can be generalised to homogeneous spaces based on a Z(N)-grading. After a review of these sigma models and their classical integrability, I present new types of sigma models with Z(N)-symmetric homogeneous target spaces and some of their deformations. I comment on the geometric interpretation of the Z(N)-symmetry, the applicability as string sigma models and Hamiltonian integrability