All-loop Bethe ansatz equations for AdS3/CFT2

Abstract

Using the S-matrix for the d(2,1;alpha)^2 symmetric spin-chain of AdS3/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.

26 pages, 2 figures. v2: references added. v3: changed notation for the crossing equations, added references. Published version

References in corpus (9)

• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Finite-size Effects from Giant Magnons
• The all loop AdS4/CFT3 Bethe ansatz
• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• A dynamic su(1|1)^2 S-matrix for AdS3/CFT2
• Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Exact S-matrices for AdS_3/CFT_2
• Coordinate Bethe Ansatz for the String S-Matrix

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