TY - JOUR

T1 - Twisted Bethe equations from a twisted S-matrix

AU - Ahn, Changrim

AU - Bajnok, Zoltan

AU - Bombardelli, Diego

AU - Nepomechie, Rafael I.

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - AdS-CFT correspondence

KW - Bethe ansatz

KW - Exact S-matrix

KW - Lattice integrable models

UR - http://www.scopus.com/inward/record.url?scp=79956153625&partnerID=8YFLogxK

U2 - 10.1007/JHEP02(2011)027

DO - 10.1007/JHEP02(2011)027

M3 - Article

AN - SCOPUS:79956153625

SN - 1126-6708

VL - 2011

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 2

M1 - 027

ER -