Joint Theory Seminar: David Osten

Speaker: David Osten

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

Abstract:
The string sigma model on AdS(5) x S(5) is classically integrable because AdS(5) x S(5) is a Riemannian symmetric spaces, meaning that its isometry algebra SO(2,4) x SO(6) possesses a Z(2)-grading. 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.
Based on 2112.07438 and ongoing work.