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

Abstract

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

References in corpus (5)

• The two-boundary Temperley-Lieb algebra
• Quantum Knizhnik-Zamolodchikov equation: reflecting boundary conditions and combinatorics
• On polynomials interpolating between the stationary state of a O(n) model and a Q.H.E. ground state
• Combinatorial aspects of boundary loop models
• Loop model with mixed boundary conditions, qKZ equation and alternating sign matrices

Cited by in corpus (3)

• Exact spin quantum Hall current between boundaries of a lattice strip
• Separation of variables for symplectic characters
• Laurent polynomial solutions of the boundary quantum Knizhnik--Zamolodchikov equation