Generalized Chiral Potts Models and Hyperbolic Monopoles from Chern-Simons Theories (Part1)

Abstract: The chiral Potts model is an exceptional integrable model whose spectral parameter lives on a surface of genus greater than one. It was noticed later by Atiyah that the same spectral data appeared in the study of monopoles in the hyperbolic space. In this talk, I will generalize the correspondence and explore its origin in holomorphic-topological Chern-Simons theories, based on the recent paper arXiv:2502.17545 [hep-th] with Moosavian and Zhou.

high energy physicsmathematical physicsnonlinear sciences

Audience: researchers in the topic

Nagoya IAR workshop on Unification of Integrable Systems