Michio Jimbo

Michio JimboMichio Jimbo


My research interests are integrable models in statistical mechanics and field theory, and algebraic sturctures related to them. The major achievements in the past are the following.

  1. The link between correlation functions in the Ising model and monodromy preserving deformation of linear differential equations (with M.Sato and T.Miwa).
  2. Foundation of monodromy preserving deformation on the Riemann sphere (with T.Miwa).
  3. The role of affine Lie algebras as infinitesimal transformation groups for the hierarchy of soliton type equations (with E.Date, M.Kashiwara and T.Miwa).
  4. Discovery of quantized enveloping algebras (quantum groups) and elucidation of the Yang-Baxter equation.
  5. Quantum group symmetry in solvable lattice models, and integral formula for correlation functions (with K.Miki, T.Miwa, A.Nakayashiki and others).
  6. Elliptic quantum groups as dynamical twist (with H.Konno, S.Odake and J.Shiraishi).

Since several years, my major interest has been to understand the algebraic representation (without integrals) of general correlation functions in integrable spin chains (with H.Boos, F.Smirnov, T.Miwa and Y.Takeyama).