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arxiv: 0901.2961 · v3 · submitted 2009-01-20 · 🧮 math-ph · cond-mat.stat-mech· math.MP

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

classification 🧮 math-ph cond-mat.stat-mechmath.MP
keywords groundstateboundariesexplicitlyfiniteloopmodelsizeaddition
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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.

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