All-loop Bethe ansatz equations for AdS(3)/CFT2

作者：Borsato Riccardo^*; Sax Olof Ohlsson; Sfondrini Alessandro

来源：The Journal of High Energy Physics, 2013, 2013(4): 116.

DOI：10.1007/JHEP04(2013)116

• Lattice Integrable Models
• AdS-CFT Correspondence
• Exact S-Matrix
• Bethe Ansatz

Using the S-matrix for the d(2, 1; alpha)(2) symmetric spin-chain of AdS(3)/CFT2, we propose a new set of all-loop Bethe equations for the system. These equations differ from the ones previously found in the literature by the choice of relative grading between the two copies of the d(2, 1; alpha) superalgebra, and involve four undetermined scalar factors that play the role of dressing phases. Imposing crossing symmetry and comparing with the near-BMN form of the S-matrix found in the literature, we find several novel features. In particular, the scalar factors must differ from the Beisert-Eden-Staudacher phase, and should couple nodes of different masses to each other. In the semiclassical limit the phases are given by a suitable generalization of Arutyunov-Frolov-Staudacher phase.

• 出版日期2013-4