Solving the open XXZ spin chain with nondiagonal boundary terms at roots of unity

Details Solving the open XXZ spin chain with nondiagonal boundary terms at roots of unity Solving the open XXZ spin chain with nondiagonal boundary terms at roots of unity

2001-10-12

arxiv.org/abs/hep-th/0110116v3

Nucl.Phys. B622 (2002) 615-632

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTeX; amssymb, no figures; V3 contains Note Added giving coefficients c_{p,l}

Scientific paper

10.1016/S0550-3213(01)00585-5

We consider the open XXZ quantum spin chain with nondiagonal boundary terms. For bulk anisotropy value \eta = i \pi/(p+1), p= 1, 2, ..., we propose an exact (p+1)-order functional relation for the transfer matrix, which implies Bethe-Ansatz-like equations for the corresponding eigenvalues. The key observation is that the fused spin-(p+1)/2 transfer matrix can be expressed in terms of a lower-spin transfer matrix, resulting in the truncation of the fusion hierarchy.

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