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

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Abstract

We consider the open XXZ quantum spin chain with nondiagonal boundary terms. For bulk anisotropy value η = iπ/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.

Original languageEnglish (US)
Pages (from-to)615-632
Number of pages18
JournalNuclear Physics B
Volume622
Issue number3
DOIs
StatePublished - Feb 11 2002

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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