Exact finite size groundstate of the O(n=1) loop model with open boundaries

de Gier, Jan; Ponsaing, Anita; Shigechi, Keiichi

Exact finite size groundstate of the O(n=1) loop model with open boundaries

Authors

de Gier, Jan

Ponsaing, Anita

Shigechi, Keiichi

Description

We explicitly describe certain components of the finite size groundstate of the inhomogeneous transfer matrix of the O(n=1) loop model on a strip with non-trivial boundaries on both sides. In addition we compute explicitly the groundstate normalisation which is given as a product of four symplectic characters.
29 pages, 33 eps figures, major revision