The Bethe Ansatz Equations for Reflecting Magnons

Details The Bethe Ansatz Equations for Reflecting Magnons The Bethe Ansatz Equations for Reflecting Magnons

2009-02-10

arxiv.org/abs/0902.1681v2

Nucl.Phys.B820:664-681,2009

Physics

High Energy Physics

High Energy Physics - Theory

23 pages; v2: corrected typos, corrected factors in equations, section 5 extended, added references. Accepted for publication

Scientific paper

10.1016/j.nuclphysb.2009.04.024

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.

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