String integrability of defect CFT and dynamical reflection matrices

Abstract

The D3-D5 probe-brane system is holographically dual to a defect CFT which is known to be integrable. The evidence comes mainly from the study of correlation functions at weak coupling. In the present work we shed light on the emergence of integrability on the string theory side. We do so by constructing the double row transfer matrix which is conserved when the appropriate boundary conditions are imposed. The corresponding reflection matrix turns out to be dynamical and depends both on the spectral parameter and the string embedding coordinates.

arXiv comment19 pages

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Cited by in corpus (11)

• Integrable domain walls in ABJM theory
• The AdS Veneziano amplitude at small curvature
• String integrability of the ABJM defect
• Wilson-loop One-point Functions in ABJM Theory
• Holographic correlators of semiclassical states in defect CFTs
• Integrable crosscaps in classical sigma models
• Integrability structures in string theory
• Holography of a novel codimension-2 defect CFT
• Three-Point Functions in ABJM and Bethe Ansatz
• Integrability and Conformal Blocks for Surface Defects in $\mathcal{N}=4$ SYM
• Chiral Integrable Boundary States in the SU(4) Alternating Spin Chain