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We develop a description of defect loops in three-dimensional active nematicsbased on a multipole expansion of the far-field director and show how thisleads to a self-dynamics dependent on the loop's geometric type. The dipoleterm leads to active stresses that generate a global self-propulsion for splayand bend loops. The quadrupole moment is non-zero only for non-planar loops andgenerates a net `active torque', such that defect loops are both self-motileand self-orienting. Our analysis identifies right- and left-handed twist loopsas the only force and torque free geometries, suggesting a mechanism forgenerating an excess of twist loops. Finally, we determine the Stokesian flowscreated by defect loops and describe qualitatively their hydrodynamics.

Defect Loops in Three-Dimensional Active Nematics as Active Multipoles