An improved AFS phase for AdS3 string integrability

Abstract

We propose a number of modifications to the classical term in the dressing phase for integrable strings in AdS3 x S3 x S3 x S1, and check these against existing perturbative calculations, crossing symmetry, and the semiclassical limit of the Bethe equations. The principal change is that the phase for different masses should start with a term Q_1 Q_2, like the one-loop AdS3 dressing phase, rather than Q_2 Q_3 as for the original AdS5 AFS phase.

7 pages

References in corpus (10)

• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Finite-size Effects from Giant Magnons
• Quantum corrections to the string Bethe ansatz
• The all loop AdS4/CFT3 Bethe ansatz
• On AdS_5 x S^5 String S-matrix
• Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase
• S-matrix for magnons in the D1-D5 system
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Macroscopic (and Microscopic) Massless Modes

Cited by in corpus (2)

• Elliptic solutions in the Neumann-Rosochatius system with mixed flux
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix