The Bethe Ansatz Equations for Reflecting Magnons

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 $Ad{S}_5\times S^5$ background attached to Y=0 giant graviton branes. An one-dimensional spin chain hamiltonian associated to this system is also derived.

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

References in corpus (6)

• Quantum Deformations of the One-Dimensional Hubbard Model
• On the Singularities of the Magnon S-matrix
• The Bethe ansatz approach for factorizable centrally extended S-matrices
• Comments on the Boundary Scattering Phase
• Reflecting Magnon Bound States
• Reflection matrices for the $U_q[osp(r|2m{)}^{(1)}]$ vertex model

Cited by in corpus (2)

• Finite size corrections for open strings/open chains in planar AdS/CFT
• Bethe ansatz equations for open spin chains from giant gravitons