String integrability of the ABJM defect

TL;DR

This paper demonstrates that the string theory dual of the ABJM theory with a half-BPS domain wall preserves integrability, indicating potential all-loop integrability of the system.

Contribution

It proves the integrability of the string dual of the ABJM domain wall, extending previous perturbative results to all loop orders and any bond dimension.

Findings

String boundary conditions preserve integrability.

Integrability likely extends to all loop orders.

Supports the conjecture of all-loop integrability for the system.

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.