Integrable achiral D5-brane reflections and asymptotic Bethe equations

Abstract

We study the reflection of magnons from a D5-brane in the framework of the AdS/CFT correspondence. We consider two possible orientations of the D5-brane with respect to the reference vacuum state, namely vacuum states aligned along "vertical" and "horizontal" directions. We show that the reflections are of the achiral type. We also show that the reflection matrices satisfy the boundary Yang-Baxter equations for both orientations. In the horizontal case the reflection matrix can be interpreted in terms of a bulk S-matrix, S(p, -p), and factorizability of boundary scattering therefore follows from that of bulk scattering. Finally, we solve the nested coordinate Bethe ansatz for the system in the vertical case to find the Bethe equations. In the horizontal case, the Bethe equations are of the same form as those for the closed string.

27 pages, 4 figures, v2: published version

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• Integrable open spin-chains in AdS3/CFT2 correspondences
• String integrability of defect CFT and dynamical reflection matrices
• Secret Symmetries in AdS/CFT
• Spectral curve for open strings attached to the Y=0 brane
• The dilatation operator for defect conformal N=4 SYM
• Integrable boundaries in AdS/CFT: revisiting the Z=0 giant graviton and D7-brane
• Extensive numerical study of a D-brane, anti-D-brane system in AdS5/CFT4
• Fusion for AdS/CFT boundary S-matrices
• Integrability and Conformal Blocks for Surface Defects in $\mathcal{N}=4$ SYM