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The exact finite size ground state of the O(n = 1) loop model with open boundaries

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Published 16 April 2009 IOP Publishing Ltd
, , Citation Jan de Gier et al J. Stat. Mech. (2009) P04010 DOI 10.1088/1742-5468/2009/04/P04010

1742-5468/2009/04/P04010

Abstract

We explicitly describe certain components of the finite size ground state 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 ground state normalization which is given as a product of four symplectic characters.

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10.1088/1742-5468/2009/04/P04010