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arXiv · 1207.2562

Inner products of Bethe states as partial domain wall partition functions

Ivan Kostov·Yutaka Matsuo
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Abstract

We study the inner product of Bethe states in the inhomogeneous periodic XXX spin-1/2 chain of length L, which is given by the Slavnov determinant formula. We show that the inner product of an on-shell M-magnon state with a generic M-magnon state is given by the same expression as the inner product of a 2M-magnon state with a vacuum descendent. The second inner product is proportional to the partition function of the six-vertex model on a rectangular Lx2M grid, with partial domain-wall boundary conditions.

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Ivan Kostov, Yutaka Matsuo. 2012-10-04. Inner products of Bethe states as partial domain wall partition functions. https://doi.org/10.1007/jhep10(2012)168

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