While the ABJ Chern–Simons-matter theory and its string theory dual manifestly lack parity invariance,no sign of parity violation has so far been observed on the weak coupling spin chain side. In particular,the planar two-loop dilatation generator of ABJ theory is parity invariant. In this Letter we derive the nonplanarpart of the two-loop dilatation generator of ABJ theory in its SU(2)×SU(2) sub-sector. Applying thedilatation generator to short operators, we explicitly demonstrate that, for operators carrying excitationson both spin chains, the non-planar part breaks parity invariance. For operators with only one type ofexcitation, however, parity remains conserved at the non-planar level. We furthermore observe that, asfor ABJM theory, the degeneracy between planar parity pairs is lifted when non-planar corrections aretaken into account.
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