The H3 model is a two-dimensional conformal field theory which describes string theory in the Euclidean AdS3. I will show how all correlation functions of the H3 model on a sphere are related to correlation functions of Liouville theory. This relation can be generalized to worldsheets with a conformal boundary. In the critical level limit, the H3-Liouville relation implies that some eigenvalues of the Gaudin Hamiltonians are given by the accessory parameters which appear in the uniformization of certain Riemann surfaces.

Reference: S. Ribault and J. Teschner, hep-th/0502048

King’s College, London