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arxiv: 1703.10842 · v1 · pith:OCY6CB25new · submitted 2017-03-31 · 🧮 math-ph · hep-th· math.MP· nlin.SI

Boundary Perimeter Bethe Ansatz

classification 🧮 math-ph hep-thmath.MPnlin.SI
keywords bethefunctionansatzpartitionboundarymodelalgebraicallows
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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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    Classification of open-boundary integrable Yang-Baxter quantum circuits with arbitrary geometries via staggered inhomogeneities, a conjecture on time-periodic integrability, and introduction of ρ-inhomogeneities enabl...