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The nested Bethe ansatz for 'all' open spin chains with diagonal boundary conditions

Journal of Physics A: Mathematical and Theoretical, ISSN: 1751-8121, Vol: 42, Issue: 20
2009
  • 20
    Citations
  • 0
    Usage
  • 3
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Metrics Details

  • Citations
    20
    • Citation Indexes
      20
  • Captures
    3

Article Description

We present in a unified and detailed way the nested Bethe ansatz for open spin chains based on or (super)algebras, with arbitrary representations (i.e., 'spins') on each site of the chain and diagonal boundary matrices (K (u), K(u)). The nested Bethe ansatz applies for a general K(u), but a particular form of the K(u) matrix. The construction extends and unifies the results already obtained for open spin chains based on the fundamental representation and for some particular super-spin chains. We give the eigenvalues, Bethe equations and the explicit form of the Bethe vectors for the corresponding models. The Bethe vectors are also expressed using a trace formula. © 2009 IOP Publishing Ltd.

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