Bethe ansatz equations for open spin chains from giant gravitons

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Abstract

We investigate the open spin chain describing the scalar sector of the Y = 0 giant graviton brane at weak coupling. We provide a direct proof of integrability in the SU(2) and SU(3) sectors by constructing the transfer matrices. We determine the eigenvalues of these transfer matrices in terms of roots of the corresponding Bethe ansatz equations (BAEs). Based on these results, we propose BAEs for the full SO(6) sector. We find that, in the weak-coupling limit, the recently-proposed all-loop BAEs essentially agree with those proposed in the present work.

Original languageEnglish (US)
Article number100
JournalJournal of High Energy Physics
Volume2009
Issue number5
DOIs
StatePublished - Jul 16 2009

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Keywords

  • AdS-CFT correspondence
  • Bethe ansatz
  • Boundary quantum field theory
  • Lattice integrable models

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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