Twisted Bethe equations from a twisted S-matrix

Changrim Ahn, Zoltan Bajnok, Diego Bombardelli, Rafael I. Nepomechie

Research output: Contribution to journalArticlepeer-review

36 Scopus citations


All-loop asymptotic Bethe equations for a 3-parameter deformation of AdS5/CFT4 have been proposed by Beisert and Roiban. We propose a Drinfeld-Reshetikhin twist of the AdS5/CFT4 S-matrix, together with c-number diagonal twists of the boundary conditions, from which we derive these Bethe equations. Although the undeformed S-matrix factorizes into a product of two su(2|2) factors, the deformed S-matrix cannot be so factored. Diagonalization of the corresponding transfer matrix requires a generalization of the conventional algebraic Bethe ansatz approach, which we first illustrate for the simpler case of the twisted su(2) principal chiral model. We also demonstrate that the transfer matrix is spectrally equivalent to a transfer matrix which is constructed using instead untwisted S-matrices and boundary conditions with operatorial twists.

Original languageEnglish
Article number027
JournalJournal of High Energy Physics
Issue number2
StatePublished - 2011


  • AdS-CFT correspondence
  • Bethe ansatz
  • Exact S-matrix
  • Lattice integrable models


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