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.

arXiv comment29 pages, 33 eps figures, major revision

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Cited by in corpus (6)

• Koornwinder polynomials and the XXZ spin chain
• Jack polynomial fractional quantum Hall states and their generalizations
• Exact spin quantum Hall current between boundaries of a lattice strip
• Separation of variables for symplectic characters
• Finite-size left-passage probability in percolation
• Laurent polynomial solutions of the boundary quantum Knizhnik--Zamolodchikov equation