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arXiv · 1703.10842

Boundary Perimeter Bethe Ansatz

Rouven Frassek
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Abstract

We study the partition function of the six-vertex model in the rational limit on arbitrary Baxter lattices with reflecting boundary. Every such lattice is interpreted as an invariant of the twisted Yangian. This identification allows us to relate the partition function of the vertex model to the Bethe wave function of an open spin chain. We obtain the partition function in terms of creation operators on a reference state from the algebraic Bethe ansatz and as a sum of permutations and reflections from the coordinate Bethe ansatz.

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Rouven Frassek. 2017-03-31. Boundary Perimeter Bethe Ansatz. https://doi.org/10.1088/1751-8121%2Faa7278

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