String integrability of the ABJM defect

Abstract

ABJM theory in the presence of a half-BPS domain wall is dual to the D2-D4 probe brane system with nonzero worldvolume flux. The ABJM domain wall was recently shown to be integrable to lowest order in perturbation theory and bond dimension. In the present paper we show that the string theory dual of this system is integrable, namely that the string boundary conditions on the probe D4-brane preserve the integrability of the Green-Schwarz sigma model. Our result suggests that the ABJM domain wall is integrable to all loop orders and for any value of the bond dimension.

24 pages. Matches published version

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Cited by in corpus (8)

• The AdS Veneziano amplitude at small curvature
• Overlaps for Matrix Product States of Arbitrary Bond Dimension in ABJM theory
• Wilson-loop One-point Functions in ABJM Theory
• Holographic correlators of semiclassical states in defect CFTs
• Integrable crosscaps in classical sigma models
• Holography of a novel codimension-2 defect CFT
• Integrability structures in string theory
• Chiral Integrable Boundary States in the SU(4) Alternating Spin Chain