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The Bethe Ansatz Equations for Reflecting Magnons

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Galleas,  Wellington
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0902.1681v1.pdf
(Preprint), 239KB

NPB820_664.pdf
(Publisher version), 234KB

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Citation

Galleas, W. (2009). The Bethe Ansatz Equations for Reflecting Magnons. Nuclear Physics B, 820, 664-681. doi:10.1016/j.nuclphysb.2009.04.024.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-45CB-0
Abstract
We derive the Bethe Ansatz Equations on the half line for particles interacting through factorized $S$-matrices invariant relative to the centrally extended $su(2|2)$ Lie superalgebra and $su(1|2)$ open boundaries. These equations may be of relevance for the study of the spectrum of open strings on $AdS_{5} \times S^5$ background attached to Y=0 giant graviton branes. An one-dimensional spin chain hamiltonian associated to this system is also derived.