Speaker
Description
Local operators in interaction round a face models can be expressed in terms of generalized transfer matrices. We use the properties of the local Boltzmann weights to derive discrete functional equations of reduced q-Knizhnik-Zamolodchikov type satisfied by the reduced density matrices for a sequence of consecutive sites in inhomogeneous
generalizations of these models. For the critical restricted solid-on-solid (RSOS) models we find that these density matrices can be ’factorized’ in certain topological sectors, i.e. expressed in terms of a single nearest-neighbour correlator. The coefficients in such an expansion are independent of model parameters such as system size and inhomogeneities. Determining these coefficients we obtain explicit expressions for multi-point local height probalities.
