String integrability of the ABJM defect
Γεώργιος Λιναρδόπουλος
Abstract
A bstract 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.
Topics & Concepts
Integrable systemString (physics)PhysicsSigmaDimension (graph theory)Mathematical physicsBraneDomain wall (magnetism)String theoryPerturbation (astronomy)Domain (mathematical analysis)Boundary (topology)Boundary value problemMathematicsPure mathematicsMathematical analysisQuantum mechanicsMagnetic fieldMagnetizationBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesParticle physics theoretical and experimental studies