Speaker: Andrew Kuzovchikov (HSE, MSU, MI-RAS)

Title:  Spin models and flag manifolds

Date and time:  25.03.2026, 17:00 (GMT +03:00)

Abstract: We will consider a one-dimensional sigma model with the target space being an SU(3) full flag manifold, equipped with an arbitrary invariant metric. We explicitly describe all geodesics in terms of elliptic functions and demonstrate that the spectrum of the Laplace-Beltrami operator may be found by solving polynomial equations of a special type. These results are based on the previously discovered connection between sigma models and Gaudin models, which also holds in the SU(n) case.

The talk is based on joint works with D. Bykov:

- D. Bykov and A. Kuzovchikov. “The classical and quantum particle on a flag manifold”. arXiv:2404.15900 [hep-th]

- D. Bykov and A. Kuzovchikov. “Sigma models from Gaudin spin chains”. arXiv:2508.20889 [hep-th]

To access the online seminar please contact  Anna Tolbey bekvaanna@gmail.com