1207.2562 (Ivan Kostov et al.)

Inner products of Bethe states as partial domain wall partition
functions    [PDF]

Ivan Kostov, Yutaka Matsuo

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.

View original: http://arxiv.org/abs/1207.2562