Fused integrable lattice models with quantum impurities and open boundaries

Abstract

The alternating integrable spin chain and the $RSOS(q_1,q_2;p)$ model in the presence of a quantum impurity are investigated. The boundary free energy due to the impurity is derived, the ratios of the corresponding $g$ functions at low and high temperature are specified and their relevance to boundary flows in unitary minimal and generalized coset models is discussed. Finally, the alternating spin chain with diagonal and non--diagonal integrable boundaries is studied, and the corresponding boundary free energy and $g$ functions are derived.

21 pages, LATEX, minor revisions

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• Bethe Ansatz derived from the functional relations of the open XXZ chain for new special cases
• Complete Bethe Ansatz solution of the open spin-s XXZ chain with general integrable boundary terms
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• The open XXZ and associated models at q root of unity
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• A note on the boundary spin $s$ XXZ chain
• Thermodynamics and conformal properties of XXZ chains with alternating spins
• On Separation of Variables for Reflection Algebras
• Generalized T-Q relations and the open XXZ chain
• Generalized T-Q relations and the open spin-s XXZ chain with nondiagonal boundary terms
• Nested algebraic Bethe ansatz for open GL(N) spin chains with projected K-matrices
• Boundary energy of the general open XXZ chain at roots of unity
• Thermodynamic limit and boundary energy of the spin-1 Heisenberg chain with non-diagonal boundary fields
• The solution of an open XXZ chain with arbitrary spin revisited
• Generic boundary scattering in the open XXZ chain
• Non-diagonal reflection for the non-critical XXZ model
• Bethe States of the integrable spin-s chain with generic open boundaries
• The spectrum of an open vertex model based on the U_q[SU(2)] at roots of unity